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31514575520148 = 22372120114462261
BaseRepresentation
bin1110010101001100011110…
…00101000100000110010100
311010120202121221202001000020
413022212033011010012110
513112313322313121043
6151005332432545140
76431565363034500
oct712461705040624
9133522557661006
1031514575520148
11a050290330466
12364b89b6b21b0
131477a7246ba96
147ad456703300
15399b76a8ae83
hex1ca98f144194

31514575520148 has 72 divisors (see below), whose sum is σ = 85546703065824. Its totient is φ = 9003412756800.

The previous prime is 31514575520143. The next prime is 31514575520171. The reversal of 31514575520148 is 84102557541513.

It is a super-2 number, since 2×315145755201482 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 31514575520148.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31514575520143) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4831338 + ... + 9293598.

It is an arithmetic number, because the mean of its divisors is an integer number (1188148653692).

Almost surely, 231514575520148 is an apocalyptic number.

It is an amenable number.

31514575520148 is an abundant number, since it is smaller than the sum of its proper divisors (54032127545676).

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

31514575520148 is a wasteful number, since it uses less digits than its factorization.

31514575520148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4474293 (or 4474284 counting only the distinct ones).

The product of its (nonzero) digits is 3360000, while the sum is 51.

The spelling of 31514575520148 in words is "thirty-one trillion, five hundred fourteen billion, five hundred seventy-five million, five hundred twenty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 12011 24022 36033 48044 72066 84077 144132 168154 252231 336308 504462 588539 1008924 1177078 1765617 2354156 3531234 4462261 7062468 8924522 13386783 17849044 26773566 31235827 53547132 62471654 93707481 124943308 187414962 218650789 374829924 437301578 655952367 874603156 1311904734 2623809468 53596216871 107192433742 160788650613 214384867484 321577301226 375173518097 643154602452 750347036194 1125520554291 1500694072388 2251041108582 2626214626679 4502082217164 5252429253358 7878643880037 10504858506716 15757287760074 31514575520148