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13347204945240 = 23351393449232007
BaseRepresentation
bin1100001000111010001101…
…1010001101010101011000
31202020222110122212020022210
43002032203122031111120
53222140033431221430
644215342111315120
72545206116056065
oct302164332152530
952228418766283
1013347204945240
11428657725a031
1215b693bb1baa0
1375a83646b68a
1434201859dc6c
151822d112b2b0
hexc23a368d558

13347204945240 has 128 divisors (see below), whose sum is σ = 40341551040000. Its totient is φ = 3532608734208.

The previous prime is 13347204945233. The next prime is 13347204945287. The reversal of 13347204945240 is 4254940274331.

It is a super-3 number, since 3×133472049452403 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13347204945240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57413317 + ... + 57645323.

It is an arithmetic number, because the mean of its divisors is an integer number (315168367500).

Almost surely, 213347204945240 is an apocalyptic number.

13347204945240 is a gapful number since it is divisible by the number (10) 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 13347204945240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20170775520000).

13347204945240 is an abundant number, since it is smaller than the sum of its proper divisors (26994346094760).

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

13347204945240 is a wasteful number, since it uses less digits than its factorization.

13347204945240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235609 (or 235605 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 13347204945240 in words is "thirteen trillion, three hundred forty-seven billion, two hundred four million, nine hundred forty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 417 556 695 834 1112 1390 1668 2085 2780 3336 3449 4170 5560 6898 8340 10347 13796 16680 17245 20694 27592 34490 41388 51735 68980 82776 103470 137960 206940 232007 413880 464014 479411 696021 928028 958822 1160035 1392042 1438233 1856056 1917644 2320070 2397055 2784084 2876466 3480105 3835288 4640140 4794110 5568168 5752932 6960210 7191165 9280280 9588220 11505864 13920420 14382330 19176440 27840840 28764660 32248973 57529320 64497946 96746919 128995892 161244865 193493838 257991784 322489730 386987676 483734595 644979460 773975352 800192143 967469190 1289958920 1600384286 1934938380 2400576429 3200768572 3869876760 4000960715 4801152858 6401537144 8001921430 9602305716 12002882145 16003842860 19204611432 24005764290 32007685720 48011528580 96023057160 111226707877 222453415754 333680123631 444906831508 556133539385 667360247262 889813663016 1112267078770 1334720494524 1668400618155 2224534157540 2669440989048 3336801236310 4449068315080 6673602472620 13347204945240