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401415113232 = 24337218963299
BaseRepresentation
bin1011101011101100011…
…01001000101000010000
31102101010022100120102000
411311312031020220100
523034044232110412
6504224010554000
741000304110400
oct5656615105020
91371108316360
10401415113232
1114526a403971
1265969138900
132bb1287bb53
14156000ca800
15a695c764dc
hex5d76348a10

401415113232 has 120 divisors (see below), whose sum is σ = 1340326044000. Its totient is φ = 114690026304.

The previous prime is 401415113119. The next prime is 401415113261. The reversal of 401415113232 is 232311514104.

401415113232 is a `hidden beast` number, since 4 + 0 + 1 + 415 + 1 + 13 + 232 = 666.

It is a super-2 number, since 2×4014151132322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 401415113196 and 401415113205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9460482 + ... + 9502817.

It is an arithmetic number, because the mean of its divisors is an integer number (11169383700).

Almost surely, 2401415113232 is an apocalyptic number.

401415113232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

401415113232 is an abundant number, since it is smaller than the sum of its proper divisors (938910930768).

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

401415113232 is a wasteful number, since it uses less digits than its factorization.

401415113232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18963330 (or 18963311 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 401415113232 its reverse (232311514104), we get a palindrome (633726627336).

The spelling of 401415113232 in words is "four hundred one billion, four hundred fifteen million, one hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 3024 3528 5292 7056 10584 21168 18963299 37926598 56889897 75853196 113779794 132743093 151706392 170669691 227559588 265486186 303412784 341339382 398229279 455119176 512009073 530972372 682678764 796458558 910238352 929201651 1024018146 1061944744 1194687837 1365357528 1592917116 1858403302 2048036292 2123889488 2389375674 2730715056 2787604953 3185834232 3584063511 3716806604 4096072584 4778751348 5575209906 6371668464 7168127022 7433613208 8192145168 8362814859 9557502696 11150419812 14336254044 14867226416 16725629718 19115005392 22300839624 25088444577 28672508088 33451259436 44601679248 50176889154 57345016176 66902518872 100353778308 133805037744 200707556616 401415113232