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3164036004144 = 24337324157417
BaseRepresentation
bin101110000010101111001…
…111011111100100110000
3102012110221002221200022000
4232002233033133210300
5403314421204113034
610421312120214000
7444410522200161
oct56025717374460
912173832850260
103164036004144
11100a950924554
1243126530a300
1319c4a0cb6052
14ad1d6853768
15574856b9599
hex2e0af3df930

3164036004144 has 40 divisors (see below), whose sum is σ = 9081955198320. Its totient is φ = 1054678667904.

The previous prime is 3164036004139. The next prime is 3164036004169. The reversal of 3164036004144 is 4414006304613.

3164036004144 is a `hidden beast` number, since 3 + 1 + 6 + 4 + 0 + 3 + 600 + 4 + 1 + 44 = 666.

It is a super-2 number, since 2×31640360041442 (a number of 26 digits) contains 22 as substring.

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 = 3164036004099 and 3164036004108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3662078277 + ... + 3662079140.

It is an arithmetic number, because the mean of its divisors is an integer number (227048879958).

Almost surely, 23164036004144 is an apocalyptic number.

It is an amenable number.

3164036004144 is an abundant number, since it is smaller than the sum of its proper divisors (5917919194176).

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

3164036004144 is a wasteful number, since it uses less digits than its factorization.

3164036004144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7324157434 (or 7324157422 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 3164036004144 in words is "three trillion, one hundred sixty-four billion, thirty-six million, four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 7324157417 14648314834 21972472251 29296629668 43944944502 58593259336 65917416753 87889889004 117186518672 131834833506 175779778008 197752250259 263669667012 351559556016 395504500518 527339334024 791009001036 1054678668048 1582018002072 3164036004144