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315453350140 = 225173725075783
BaseRepresentation
bin1001001011100100111…
…11000010000011111100
31010011020111010112220121
410211302133002003330
520132022024201030
6400530044024324
731535141143315
oct4456237020374
91104214115817
10315453350140
11111868212a55
12511788320a4
1323993578486
14113a765760c
1583141c447a
hex49727c20fc

315453350140 has 48 divisors (see below), whose sum is σ = 720377122752. Its totient is φ = 115549203456.

The previous prime is 315453350131. The next prime is 315453350153. The reversal of 315453350140 is 41053354513.

It is a super-2 number, since 2×3154533501402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 315453350096 and 315453350105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12525312 + ... + 12550471.

It is an arithmetic number, because the mean of its divisors is an integer number (15007856724).

Almost surely, 2315453350140 is an apocalyptic number.

It is an amenable number.

315453350140 is an abundant number, since it is smaller than the sum of its proper divisors (404923772612).

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

315453350140 is a wasteful number, since it uses less digits than its factorization.

315453350140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25075846 (or 25075844 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 34.

The spelling of 315453350140 in words is "three hundred fifteen billion, four hundred fifty-three million, three hundred fifty thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 37 68 74 85 148 170 185 340 370 629 740 1258 2516 3145 6290 12580 25075783 50151566 100303132 125378915 250757830 426288311 501515660 852576622 927803971 1705153244 1855607942 2131441555 3711215884 4262883110 4639019855 8525766220 9278039710 15772667507 18556079420 31545335014 63090670028 78863337535 157726675070 315453350140