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13413400110432 = 253276653472277
BaseRepresentation
bin1100001100110000110011…
…1100101110010101100000
31202111022022220202001001200
43003030030330232111200
53224231120412013212
644310010403401200
72553041362511640
oct303141474562540
952438286661050
1013413400110432
114301655748423
121607734683200
13763b5554808a
143452d7b46520
15183da76b86dc
hexc330cf2e560

13413400110432 has 72 divisors (see below), whose sum is σ = 43593550365456. Its totient is φ = 3832400030976.

The previous prime is 13413400110421. The next prime is 13413400110443. The reversal of 13413400110432 is 23401100431431.

13413400110432 is a `hidden beast` number, since 134 + 13 + 400 + 110 + 4 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13413400110421) and next prime (13413400110443).

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 13413400110396 and 13413400110405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3326734123 + ... + 3326738154.

It is an arithmetic number, because the mean of its divisors is an integer number (605465977298).

Almost surely, 213413400110432 is an apocalyptic number.

13413400110432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13413400110432 is an abundant number, since it is smaller than the sum of its proper divisors (30180150255024).

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

13413400110432 is a wasteful number, since it uses less digits than its factorization.

13413400110432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6653472300 (or 6653472289 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13413400110432 its reverse (23401100431431), we get a palindrome (36814500541863).

The spelling of 13413400110432 in words is "thirteen trillion, four hundred thirteen billion, four hundred million, one hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 6653472277 13306944554 19960416831 26613889108 39920833662 46574305939 53227778216 59881250493 79841667324 93148611878 106455556432 119762500986 139722917817 159683334648 186297223756 212911112864 239525001972 279445835634 319366669296 372594447512 419168753451 479050003944 558891671268 638733338592 745188895024 838337506902 958100007888 1117783342536 1490377790048 1676675013804 1916200015776 2235566685072 3353350027608 4471133370144 6706700055216 13413400110432