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140122123400025 = 3552133157234169
BaseRepresentation
bin11111110111000010111001…
…011000111111001101011001
3200101010112200200222001100000
4133313002321120333031121
5121331230102042300100
61214003114223203213
741341326562045104
oct3767027130771531
9611115620861300
10140122123400025
1140713505757218
1213870733746509
1360255c87b9790
142685d3865173b
15112ed70acc900
hex7f70b963f359

140122123400025 has 144 divisors (see below), whose sum is σ = 289332007677440. Its totient is φ = 66757933555200.

The previous prime is 140122123399997. The next prime is 140122123400053. The reversal of 140122123400025 is 520004321221041.

140122123400025 is a `hidden beast` number, since 1 + 40 + 1 + 2 + 212 + 3 + 400 + 0 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (140122123399997) and next prime (140122123400053).

It is not a de Polignac number, because 140122123400025 - 216 = 140122123334489 is a prime.

It is a super-2 number, since 2×1401221234000252 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 26168860 + ... + 31065309.

Almost surely, 2140122123400025 is an apocalyptic number.

140122123400025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

140122123400025 is an abundant number, since it is smaller than the sum of its proper divisors (149209884277415).

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

140122123400025 is a wasteful number, since it uses less digits than its factorization.

140122123400025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57234238 (or 57234221 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 140122123400025 its reverse (520004321221041), we get a palindrome (660126444621066).

The spelling of 140122123400025 in words is "one hundred forty trillion, one hundred twenty-two billion, one hundred twenty-three million, four hundred thousand, twenty-five".

Divisors: 1 3 5 9 13 15 25 27 31 39 45 65 75 81 93 117 135 155 195 225 243 279 325 351 403 405 465 585 675 775 837 975 1053 1209 1215 1395 1755 2015 2025 2325 2511 2925 3159 3627 4185 5265 6045 6075 6975 7533 8775 10075 10881 12555 15795 18135 20925 26325 30225 32643 37665 54405 62775 78975 90675 97929 163215 188325 272025 489645 816075 2448225 57234169 171702507 286170845 515107521 744044197 858512535 1430854225 1545322563 1774259239 2232132591 2575537605 3720220985 4292562675 4635967689 5322777717 6696397773 7726612815 8871296195 11160662955 12877688025 13907903067 15968333151 18601104925 20089193319 23065370107 23179838445 26613888585 33481988865 38633064075 44356480975 47904999453 55803314775 60267579957 69196110321 69539515335 79841665755 100445966595 115326850535 115899192225 133069442925 143714998359 167409944325 180802739871 207588330963 239524997265 301337899785 345980551605 347697576675 399208328775 431144995077 502229832975 576634252675 622764992889 718574991795 904013699355 1037941654815 1197624986325 1506689498925 1729902758025 1868294978667 2155724975385 3113824964445 3592874958975 4520068496775 5189708274075 5604884936001 9341474893335 10778624876925 15569124822225 28024424680005 46707374466675 140122123400025