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40153561137 = 3419113230891
BaseRepresentation
bin100101011001010101…
…101011100000110001
310211122101000020210000
4211121111223200301
51124213302424022
630240222100213
72621020431624
oct453125534061
9124571006700
1040153561137
1116035702878
12794741a669
133a2bb2a341
141d2cb41dbb
1510a021b6ac
hex95956b831

40153561137 has 40 divisors (see below), whose sum is σ = 63698484960. Its totient is φ = 25135608960.

The previous prime is 40153561127. The next prime is 40153561139. The reversal of 40153561137 is 73116535104.

40153561137 is a `hidden beast` number, since 4 + 0 + 1 + 5 + 3 + 5 + 611 + 37 = 666.

It is not a de Polignac number, because 40153561137 - 219 = 40153036849 is a prime.

It is a super-2 number, since 2×401535611372 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40153561139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58462 + ... + 289352.

It is an arithmetic number, because the mean of its divisors is an integer number (1592462124).

Almost surely, 240153561137 is an apocalyptic number.

It is an amenable number.

40153561137 is a deficient number, since it is larger than the sum of its proper divisors (23544923823).

40153561137 is a wasteful number, since it uses less digits than its factorization.

40153561137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231035 (or 231026 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 40153561137 in words is "forty billion, one hundred fifty-three million, five hundred sixty-one thousand, one hundred thirty-seven".

Divisors: 1 3 9 19 27 57 81 113 171 339 513 1017 1539 2147 3051 6441 9153 19323 57969 173907 230891 692673 2078019 4386929 6234057 13160787 18702171 26090683 39482361 78272049 118447083 234816147 355341249 495722977 704448441 1487168931 2113345323 4461506793 13384520379 40153561137