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10134364616431 = 114147881542683
BaseRepresentation
bin1001001101111001011100…
…1100111111011011101111
31022212211120021221222121121
42103132113030333123233
52312020134320211211
633315355101041411
72064120000630016
oct223362714773357
938784507858547
1010134364616431
113257a61695070
121178136256267
13586888354813
14270712141a7d
15128941051271
hex9379733f6ef

10134364616431 has 32 divisors (see below), whose sum is σ = 11579435191296. Its totient is φ = 8787106944000.

The previous prime is 10134364616381. The next prime is 10134364616491. The reversal of 10134364616431 is 13461646343101.

It is not a de Polignac number, because 10134364616431 - 27 = 10134364616303 is a prime.

It is a super-2 number, since 2×101343646164312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10134364616491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18403216 + ... + 18945898.

It is an arithmetic number, because the mean of its divisors is an integer number (361857349728).

Almost surely, 210134364616431 is an apocalyptic number.

10134364616431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10134364616431 is a deficient number, since it is larger than the sum of its proper divisors (1445070574865).

10134364616431 is a wasteful number, since it uses less digits than its factorization.

10134364616431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543663.

The product of its (nonzero) digits is 373248, while the sum is 43.

The spelling of 10134364616431 in words is "ten trillion, one hundred thirty-four billion, three hundred sixty-four million, six hundred sixteen thousand, four hundred thirty-one".

Divisors: 1 11 41 47 451 517 881 1927 9691 21197 36121 41407 397331 455477 542683 1697687 5969513 18674557 22250003 25506101 244750033 280567111 478103723 1045750141 5259140953 11503251551 19602252643 22470874981 215624779073 247179624791 921305874221 10134364616431