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40157433351 = 3272351271127
BaseRepresentation
bin100101011001100100…
…011100111000000111
310211122122021222110100
4211121210130320013
51124220300331401
630240441055143
72621065360110
oct453144347007
9124578258410
1040157433351
1116037908052
1279487874b3
133a2c8849a9
141d2d46d207
1510a0733b86
hex95991ce07

40157433351 has 24 divisors (see below), whose sum is σ = 66320077824. Its totient is φ = 22937259600.

The previous prime is 40157433341. The next prime is 40157433361. The reversal of 40157433351 is 15333475104.

40157433351 is a `hidden beast` number, since 4 + 0 + 1 + 574 + 3 + 33 + 51 = 666.

It is an interprime number because it is at equal distance from previous prime (40157433341) and next prime (40157433361).

It is not a de Polignac number, because 40157433351 - 214 = 40157416967 is a prime.

It is a super-2 number, since 2×401574333512 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40157433301) 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 23 ways as a sum of consecutive naturals, for example, 12550 + ... + 283676.

It is an arithmetic number, because the mean of its divisors is an integer number (2763336576).

Almost surely, 240157433351 is an apocalyptic number.

40157433351 is a deficient number, since it is larger than the sum of its proper divisors (26162644473).

40157433351 is a wasteful number, since it uses less digits than its factorization.

40157433351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273491 (or 273488 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 40157433351 in words is "forty billion, one hundred fifty-seven million, four hundred thirty-three thousand, three hundred fifty-one".

Divisors: 1 3 7 9 21 63 2351 7053 16457 21159 49371 148113 271127 813381 1897889 2440143 5693667 17081001 637419577 1912258731 4461937039 5736776193 13385811117 40157433351