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40261322316204 = 223211139731438891
BaseRepresentation
bin10010010011110000100011…
…10100001001100110101100
312021112221111202222010101100
421021320101310021212230
520234120142003104304
6221343443544243100
711323533046062513
oct1111702164114654
9167487452863340
1040261322316204
1111912804923040
124622ab7470490
13196081b293532
149d29308dd67a
1549c451a41439
hex249e11d099ac

40261322316204 has 72 divisors (see below), whose sum is σ = 111822377808960. Its totient is φ = 12112628018400.

The previous prime is 40261322316197. The next prime is 40261322316253.

40261322316204 is a `hidden beast` number, since 4 + 0 + 2 + 6 + 1 + 3 + 2 + 23 + 1 + 620 + 4 = 666.

40261322316204 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365664402 + ... + 365774489.

It is an arithmetic number, because the mean of its divisors is an integer number (1553088580680).

Almost surely, 240261322316204 is an apocalyptic number.

40261322316204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40261322316204 is an abundant number, since it is smaller than the sum of its proper divisors (71561055492756).

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

40261322316204 is a wasteful number, since it uses less digits than its factorization.

40261322316204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731439051 (or 731439046 counting only the distinct ones).

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

The spelling of 40261322316204 in words is "forty trillion, two hundred sixty-one billion, three hundred twenty-two million, three hundred sixteen thousand, two hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 139 198 278 396 417 556 834 1251 1529 1668 2502 3058 4587 5004 6116 9174 13761 18348 27522 55044 731438891 1462877782 2194316673 2925755564 4388633346 6582950019 8045827801 8777266692 13165900038 16091655602 24137483403 26331800076 32183311204 48274966806 72412450209 96549933612 101670005849 144824900418 203340011698 289649800836 305010017547 406680023396 610020035094 915030052641 1118370064339 1220040070188 1830060105282 2236740128678 3355110193017 3660120210564 4473480257356 6710220386034 10065330579051 13420440772068 20130661158102 40261322316204