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10140044026455 = 335760117853919
BaseRepresentation
bin1001001110001110100110…
…1110001110001001010111
31022220101020002202220112000
42103203221232032021113
52312113302232321310
633322134422330343
72064410513051520
oct223435156161127
938811202686460
1010140044026455
11325a406558962
1211792602899b3
13587281b93975
14270ad053b847
15128b7495e4c0
hex938e9b8e257

10140044026455 has 64 divisors (see below), whose sum is σ = 20636274892800. Its totient is φ = 4627735545600.

The previous prime is 10140044026451. The next prime is 10140044026543. The reversal of 10140044026455 is 55462044004101.

10140044026455 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 0 + 0 + 4 + 4 + 0 + 2 + 645 + 5 = 666.

It is not a de Polignac number, because 10140044026455 - 22 = 10140044026451 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140044026451) 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 63 ways as a sum of consecutive naturals, for example, 8359015 + ... + 9494904.

It is an arithmetic number, because the mean of its divisors is an integer number (322441795200).

Almost surely, 210140044026455 is an apocalyptic number.

10140044026455 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10140044026455 is an abundant number, since it is smaller than the sum of its proper divisors (10496230866345).

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

10140044026455 is a wasteful number, since it uses less digits than its factorization.

10140044026455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17854541 (or 17854535 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 10140044026455 in words is "ten trillion, one hundred forty billion, forty-four million, twenty-six thousand, four hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 601 945 1803 3005 4207 5409 9015 12621 16227 21035 27045 37863 63105 81135 113589 189315 567945 17853919 53561757 89269595 124977433 160685271 267808785 374932299 482055813 624887165 803426355 1124796897 1874661495 2410279065 3374390691 5623984485 10730205319 16871953455 32190615957 53651026595 75111437233 96571847871 160953079785 225334311699 289715543613 375557186165 482859239355 676002935097 1126671558495 1448577718065 2028008805291 3380014675485 10140044026455