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4014757104372 = 2232718917842183
BaseRepresentation
bin111010011011000010001…
…010111100101011110100
3112012210210022210021110100
4322123002022330223310
51011234210304314442
612312204241554100
7563025265220040
oct72330212745364
915183708707410
104014757104372
1113087157a25a3
1254a106045930
1323178921b961
14dc45b1b7020
156e6767e084c
hex3a6c22bcaf4

4014757104372 has 72 divisors (see below), whose sum is σ = 11598814071936. Its totient is φ = 1147011459264.

The previous prime is 4014757104349. The next prime is 4014757104377. The reversal of 4014757104372 is 2734017574104.

4014757104372 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 7 + 571 + 0 + 4 + 3 + 72 = 666.

It is a super-2 number, since 2×40147571043722 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4014757104377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4345993 + ... + 5188175.

It is an arithmetic number, because the mean of its divisors is an integer number (161094639888).

Almost surely, 24014757104372 is an apocalyptic number.

4014757104372 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4014757104372 is an abundant number, since it is smaller than the sum of its proper divisors (7584056967564).

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

4014757104372 is a wasteful number, since it uses less digits than its factorization.

4014757104372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861117 (or 861112 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 4014757104372 in words is "four trillion, fourteen billion, seven hundred fifty-seven million, one hundred four thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 18917 37834 56751 75668 113502 132419 170253 227004 264838 340506 397257 529676 681012 794514 842183 1191771 1589028 1684366 2383542 2526549 3368732 4767084 5053098 5895281 7579647 10106196 11790562 15159294 17685843 23581124 30318588 35371686 53057529 70743372 106115058 212230116 15931575811 31863151622 47794727433 63726303244 95589454866 111521030677 143384182299 191178909732 223042061354 286768364598 334563092031 446084122708 573536729196 669126184062 1003689276093 1338252368124 2007378552186 4014757104372