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40813418831985 = 3256776117788159
BaseRepresentation
bin10010100011110100111010…
…10101001110000001110001
312100111201120022222001020100
421101322131111032001301
520322141340210110420
6222445231544503013
711411446365040632
oct1121723525160161
9170451508861210
1040813418831985
1112005967a21958
1246b1ab747aa69
1319a08c561bcb7
14a11546a73889
154ab9b60e4190
hex251e9d54e071

40813418831985 has 48 divisors (see below), whose sum is σ = 71893481287680. Its totient is φ = 21414096126720.

The previous prime is 40813418831869. The next prime is 40813418832023. The reversal of 40813418831985 is 58913881431804.

40813418831985 is a `hidden beast` number, since 4 + 0 + 8 + 134 + 188 + 319 + 8 + 5 = 666.

It is not a de Polignac number, because 40813418831985 - 29 = 40813418831473 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6599665 + ... + 11188494.

It is an arithmetic number, because the mean of its divisors is an integer number (1497780860160).

Almost surely, 240813418831985 is an apocalyptic number.

40813418831985 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40813418831985 is a deficient number, since it is larger than the sum of its proper divisors (31080062455695).

40813418831985 is a wasteful number, since it uses less digits than its factorization.

40813418831985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17788998 (or 17788995 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 40813418831985 in words is "forty trillion, eight hundred thirteen billion, four hundred eighteen million, eight hundred thirty-one thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 45 67 201 335 603 761 1005 2283 3015 3805 6849 11415 34245 50987 152961 254935 458883 764805 2294415 17788159 53364477 88940795 160093431 266822385 800467155 1191806653 3575419959 5959033265 10726259877 13536788999 17877099795 40610366997 53631299385 67683944995 121831100991 203051834985 609155504955 906964862933 2720894588799 4534824314665 8162683766397 13604472943995 40813418831985