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42212330560 = 2652349111681
BaseRepresentation
bin100111010100000011…
…010000110001000000
311000221211221120111101
4213110003100301000
51142422324034220
631220404424144
73023026614061
oct472403206100
9130854846441
1042212330560
11169a183a804
1282209a8054
133c995104ba
142086338568
151170d3c30a
hex9d40d0c40

42212330560 has 112 divisors (see below), whose sum is σ = 105111084672. Its totient is φ = 16116531200.

The previous prime is 42212330543. The next prime is 42212330581. The reversal of 42212330560 is 6503321224.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3607920 + ... + 3619600.

Almost surely, 242212330560 is an apocalyptic number.

42212330560 is a gapful number since it is divisible by the number (40) 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 42212330560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52555542336).

42212330560 is an abundant number, since it is smaller than the sum of its proper divisors (62898754112).

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

42212330560 is a wasteful number, since it uses less digits than its factorization.

42212330560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12212 (or 12202 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 42212330560 its reverse (6503321224), we get a palindrome (48715651784).

The spelling of 42212330560 in words is "forty-two billion, two hundred twelve million, three hundred thirty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 491 736 920 982 1472 1840 1964 2455 3680 3928 4910 7360 7856 9820 11293 11681 15712 19640 22586 23362 31424 39280 45172 46724 56465 58405 78560 90344 93448 112930 116810 157120 180688 186896 225860 233620 268663 361376 373792 451720 467240 537326 722752 747584 903440 934480 1074652 1343315 1806880 1868960 2149304 2686630 3613760 3737920 4298608 5373260 5735371 8597216 10746520 11470742 17194432 21493040 22941484 28676855 42986080 45882968 57353710 85972160 91765936 114707420 131913533 183531872 229414840 263827066 367063744 458829680 527654132 659567665 917659360 1055308264 1319135330 1835318720 2110616528 2638270660 4221233056 5276541320 8442466112 10553082640 21106165280 42212330560