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3071168166144 = 28313714332521
BaseRepresentation
bin101100101100001111111…
…000110011100100000000
3101212121012222201201000110
4230230033320303210000
5400304223022304034
610310513012151320
7434612260454661
oct54541770634400
911777188651013
103071168166144
11a84525401311
12417268008540
131937c0ca4110
14a8906b13368
1554d4c6a2de9
hex2cb0fe33900

3071168166144 has 144 divisors (see below), whose sum is σ = 8926520367744. Its totient is φ = 931665100800.

The previous prime is 3071168166127. The next prime is 3071168166149. The reversal of 3071168166144 is 4416618611703.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3071168166093 and 3071168166102.

It is not an unprimeable number, because it can be changed into a prime (3071168166149) 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 15 ways as a sum of consecutive naturals, for example, 1457397 + ... + 2875124.

It is an arithmetic number, because the mean of its divisors is an integer number (61989724776).

Almost surely, 23071168166144 is an apocalyptic number.

It is an amenable number.

3071168166144 is an abundant number, since it is smaller than the sum of its proper divisors (5855352201600).

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

3071168166144 is a wasteful number, since it uses less digits than its factorization.

3071168166144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4332624 (or 4332610 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 3071168166144 in words is "three trillion, seventy-one billion, one hundred sixty-eight million, one hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 71 78 96 104 128 142 156 192 208 213 256 284 312 384 416 426 568 624 768 832 852 923 1136 1248 1664 1704 1846 2272 2496 2769 3328 3408 3692 4544 4992 5538 6816 7384 9088 9984 11076 13632 14768 18176 22152 27264 29536 44304 54528 59072 88608 118144 177216 236288 354432 708864 4332521 8665042 12997563 17330084 25995126 34660168 51990252 56322773 69320336 103980504 112645546 138640672 168968319 207961008 225291092 277281344 307608991 337936638 415922016 450582184 554562688 615217982 675873276 831844032 901164368 922826973 1109125376 1230435964 1351746552 1663688064 1802328736 1845653946 2460871928 2703493104 3327376128 3604657472 3691307892 3998916883 4921743856 5406986208 7209314944 7382615784 7997833766 9843487712 10813972416 11996750649 14418629888 14765231568 15995667532 19686975424 21627944832 23993501298 29530463136 31991335064 39373950848 43255889664 47987002596 59060926272 63982670128 78747901696 95974005192 118121852544 127965340256 191948010384 236243705088 255930680512 383896020768 511861361024 767792041536 1023722722048 1535584083072 3071168166144