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40634165401121 = 2323712290132537
BaseRepresentation
bin10010011110100111000001…
…11111101001011000100001
312022212120212212000021022102
421033103200333221120201
520311222232320313441
6222231024453420145
711362502333030135
oct1117234077513041
9168776785007272
1040634165401121
1111a46942047166
12468320b93a655
131989a29570746
14a069c00953c5
154a6ec420b69b
hex24f4e0fe9621

40634165401121 has 16 divisors (see below), whose sum is σ = 42421907392128. Its totient is φ = 38848179216000.

The previous prime is 40634165401099. The next prime is 40634165401133. The reversal of 40634165401121 is 12110456143604.

40634165401121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 40634165401121 - 242 = 36236118890017 is a prime.

It is a super-2 number, since 2×406341654011212 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40634165601121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1248843965 + ... + 1248876501.

It is an arithmetic number, because the mean of its divisors is an integer number (2651369212008).

Almost surely, 240634165401121 is an apocalyptic number.

It is an amenable number.

40634165401121 is a deficient number, since it is larger than the sum of its proper divisors (1787741991007).

40634165401121 is a wasteful number, since it uses less digits than its factorization.

40634165401121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57832.

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 40634165401121 in words is "forty trillion, six hundred thirty-four billion, one hundred sixty-five million, four hundred one thousand, one hundred twenty-one".

Divisors: 1 23 2371 22901 32537 54533 526723 748351 54298271 77145227 745129837 1248860233 1774340221 17137986251 1766702843527 40634165401121