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113032440024 = 23378923473221
BaseRepresentation
bin110100101000101000…
…0100010100011011000
3101210202102110220001120
41221101100202203120
53322442301040044
6123532033245240
711111022613320
oct1512120424330
9353672426046
10113032440024
1143a33958199
1219aa6403820
13a87482bc0a
145683c32280
152e18448519
hex1a514228d8

113032440024 has 128 divisors (see below), whose sum is σ = 326819059200. Its totient is φ = 31908602880.

The previous prime is 113032440013. The next prime is 113032440043. The reversal of 113032440024 is 420044230311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 113032439976 and 113032440003.

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, 35090734 + ... + 35093954.

It is an arithmetic number, because the mean of its divisors is an integer number (2553273900).

Almost surely, 2113032440024 is an apocalyptic number.

113032440024 is a gapful number since it is divisible by the number (14) 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 113032440024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163409529600).

113032440024 is an abundant number, since it is smaller than the sum of its proper divisors (213786619176).

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

113032440024 is a wasteful number, since it uses less digits than its factorization.

113032440024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5673 (or 5669 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 113032440024 its reverse (420044230311), we get a palindrome (533076670335).

The spelling of 113032440024 in words is "one hundred thirteen billion, thirty-two million, four hundred forty thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 89 168 178 267 356 534 623 712 1068 1246 1869 2136 2347 2492 3221 3738 4694 4984 6442 7041 7476 9388 9663 12884 14082 14952 16429 18776 19326 22547 25768 28164 32858 38652 45094 49287 56328 65716 67641 77304 90188 98574 131432 135282 180376 197148 208883 270564 286669 394296 417766 541128 573338 626649 835532 860007 1146676 1253298 1462181 1671064 1720014 2006683 2293352 2506596 2924362 3440028 4013366 4386543 5013192 5848724 6020049 6880056 7559687 8026732 8773086 11697448 12040098 15119374 16053464 17546172 22679061 24080196 30238748 35092344 45358122 48160392 52917809 60477496 90716244 105835618 158753427 181432488 211671236 317506854 423342472 635013708 672812143 1270027416 1345624286 2018436429 2691248572 4036872858 4709685001 5382497144 8073745716 9419370002 14129055003 16147491432 18838740004 28258110006 37677480008 56516220012 113032440024