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315145412032 = 2611676366191
BaseRepresentation
bin1001001011000000010…
…00010101110111000000
31010010110000200200020111
410211200020111313000
520130404211141112
6400435323521104
731524411542503
oct4454010256700
91103400620214
10315145412032
1111171a407550
12510b1689194
132394482b489
14113787b913a
1582e71485a7
hex4960215dc0

315145412032 has 56 divisors (see below), whose sum is σ = 682329376512. Its totient is φ = 143224569600.

The previous prime is 315145412011. The next prime is 315145412033. The reversal of 315145412032 is 230214541513.

It is a junction number, because it is equal to n+sod(n) for n = 315145411985 and 315145412003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315145412033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4728057 + ... + 4794247.

It is an arithmetic number, because the mean of its divisors is an integer number (12184453152).

Almost surely, 2315145412032 is an apocalyptic number.

315145412032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

315145412032 is an abundant number, since it is smaller than the sum of its proper divisors (367183964480).

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

315145412032 is a wasteful number, since it uses less digits than its factorization.

315145412032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72977 (or 72967 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 315145412032 its reverse (230214541513), we get a palindrome (545359953545).

The spelling of 315145412032 in words is "three hundred fifteen billion, one hundred forty-five million, four hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 6763 13526 27052 54104 66191 74393 108208 132382 148786 216416 264764 297572 432832 529528 595144 728101 1059056 1190288 1456202 2118112 2380576 2912404 4236224 4761152 5824808 11649616 23299232 46598464 447649733 895299466 1790598932 3581197864 4924147063 7162395728 9848294126 14324791456 19696588252 28649582912 39393176504 78786353008 157572706016 315145412032