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3202342793040 = 2435139607915791
BaseRepresentation
bin101110100110011010100…
…000010010111101010000
3102100010210202221011211010
4232212122200102331100
5404431344223334130
610451045211450520
7450235016422356
oct56463240227520
912303722834733
103202342793040
111025119026a76
12438776156a40
131a2c97328141
14b0dcc1c57d6
15584786de0b0
hex2e99a812f50

3202342793040 has 160 divisors (see below), whose sum is σ = 10000959897600. Its totient is φ = 847621347840.

The previous prime is 3202342793003. The next prime is 3202342793047. The reversal of 3202342793040 is 403972432023.

It is a self number, because there is not a number n which added to its sum of digits gives 3202342793040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3202342793047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202787545 + ... + 202803335.

It is an arithmetic number, because the mean of its divisors is an integer number (62505999360).

Almost surely, 23202342793040 is an apocalyptic number.

3202342793040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3202342793040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5000479948800).

3202342793040 is an abundant number, since it is smaller than the sum of its proper divisors (6798617104560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3202342793040 is a wasteful number, since it uses less digits than its factorization.

3202342793040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22025 (or 22019 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 39.

The spelling of 3202342793040 in words is "three trillion, two hundred two billion, three hundred forty-two million, seven hundred ninety-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 139 240 278 417 556 695 834 1112 1390 1668 2085 2224 2780 3336 4170 5560 6079 6672 8340 11120 12158 15791 16680 18237 24316 30395 31582 33360 36474 47373 48632 60790 63164 72948 78955 91185 94746 97264 121580 126328 145896 157910 182370 189492 236865 243160 252656 291792 315820 364740 378984 473730 486320 631640 729480 757968 844981 947460 1263280 1458960 1689962 1894920 2194949 2534943 3379924 3789840 4224905 4389898 5069886 6584847 6759848 8449810 8779796 10139772 10974745 12674715 13169694 13519696 16899620 17559592 20279544 21949490 25349430 26339388 32924235 33799240 35119184 40559088 43898980 50698860 52678776 65848470 67598480 87797960 95993489 101397720 105357552 131696940 175595920 191986978 202795440 263393880 287980467 383973956 479967445 526787760 575960934 767947912 959934890 1151921868 1439902335 1535895824 1919869780 2303843736 2879804670 3839739560 4607687472 5759609340 7679479120 11519218680 13343094971 23038437360 26686189942 40029284913 53372379884 66715474855 80058569826 106744759768 133430949710 160117139652 200146424565 213489519536 266861899420 320234279304 400292849130 533723798840 640468558608 800585698260 1067447597680 1601171396520 3202342793040