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315133420644 = 223371288932341
BaseRepresentation
bin1001001010111110110…
…10100110010001100100
31010010102012010110011000
410211133122212101210
520130343123430034
6400434214513300
731524204610260
oct4453732462144
91103365113130
10315133420644
11111713667209
12510a9665830
13239421c0393
1411376d770a0
1582e607a599
hex495f6a6464

315133420644 has 96 divisors (see below), whose sum is σ = 933829971200. Its totient is φ = 90028350720.

The previous prime is 315133420621. The next prime is 315133420681. The reversal of 315133420644 is 446024331513.

315133420644 is a `hidden beast` number, since 3 + 1 + 5 + 1 + 3 + 3 + 4 + 2 + 0 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 315133420599 and 315133420608.

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 31 ways as a sum of consecutive naturals, for example, 9727914 + ... + 9760254.

Almost surely, 2315133420644 is an apocalyptic number.

It is an amenable number.

315133420644 is an abundant number, since it is smaller than the sum of its proper divisors (618696550556).

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

315133420644 is a wasteful number, since it uses less digits than its factorization.

315133420644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45250 (or 45242 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 315133420644 in words is "three hundred fifteen billion, one hundred thirty-three million, four hundred twenty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 12889 25778 32341 38667 51556 64682 77334 90223 97023 116001 129364 154668 180446 194046 226387 232002 270669 291069 348003 360892 388092 452774 464004 541338 582138 679161 696006 812007 873207 905548 1082676 1164276 1358322 1392012 1624014 1746414 2037483 2436021 2716644 3248028 3492828 4074966 4872042 6112449 8149932 9744084 12224898 24449796 416843149 833686298 1250529447 1667372596 2501058894 2917902043 3751588341 5002117788 5835804086 7503176682 8753706129 11254765023 11671608172 15006353364 17507412258 22509530046 26261118387 35014824516 45019060092 52522236774 78783355161 105044473548 157566710322 315133420644