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40014053460972 = 2234292694219487
BaseRepresentation
bin10010001100100011111110…
…11100010100101111101100
312020200022021011222210120000
421012101333130110233230
520221042240141222342
6221034111414424300
711266630355353113
oct1106217734245754
9166608234883500
1040014053460972
1111827957018328
1245a2ba9662090
131943402ca4146
149c4994b0ac7a
15495ccd8b044c
hex24647f714bec

40014053460972 has 60 divisors (see below), whose sum is σ = 104608238454720. Its totient is φ = 13337558954784.

The previous prime is 40014053460971. The next prime is 40014053460977. The reversal of 40014053460972 is 27906435041004.

40014053460972 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 4 + 0 + 5 + 34 + 609 + 7 + 2 = 666.

It is a super-2 number, since 2×400140534609722 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40014053460971) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7373413 + ... + 11592899.

It is an arithmetic number, because the mean of its divisors is an integer number (1743470640912).

Almost surely, 240014053460972 is an apocalyptic number.

It is an amenable number.

40014053460972 is an abundant number, since it is smaller than the sum of its proper divisors (64594184993748).

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

40014053460972 is a wasteful number, since it uses less digits than its factorization.

40014053460972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248772 (or 4248761 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 40014053460972 in words is "forty trillion, fourteen billion, fifty-three million, four hundred sixty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 29269 58538 87807 117076 175614 263421 351228 526842 790263 1053684 1580526 2370789 3161052 4219487 4741578 8438974 9483156 12658461 16877948 25316922 37975383 50633844 75950766 113926149 151901532 227852298 341778447 455704596 683556894 1367113788 123500165003 247000330006 370500495009 494000660012 741000990018 1111501485027 1482001980036 2223002970054 3334504455081 4446005940108 6669008910162 10003513365243 13338017820324 20007026730486 40014053460972