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142894561005 = 325710325717137
BaseRepresentation
bin1000010100010100101…
…1011111011011101101
3111122211120022210222100
42011011023133123231
54320122001423010
6145351142205313
713216026504450
oct2050513373355
9448746283870
10142894561005
1155668288719
122383b123839
131062347a1a1
146cb7c29497
153ab4dd92c0
hex21452df6ed

142894561005 has 96 divisors (see below), whose sum is σ = 286944413184. Its totient is φ = 64433553408.

The previous prime is 142894561003. The next prime is 142894561057. The reversal of 142894561005 is 500165498241.

142894561005 is a `hidden beast` number, since 1 + 4 + 2 + 89 + 4 + 561 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 142894561005 - 21 = 142894561003 is a prime.

It is a super-2 number, since 2×1428945610052 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142894561003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8329797 + ... + 8346933.

It is an arithmetic number, because the mean of its divisors is an integer number (2989004304).

Almost surely, 2142894561005 is an apocalyptic number.

142894561005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

142894561005 is an abundant number, since it is smaller than the sum of its proper divisors (144049852179).

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

142894561005 is a wasteful number, since it uses less digits than its factorization.

142894561005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17515 (or 17512 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 142894561005 in words is "one hundred forty-two billion, eight hundred ninety-four million, five hundred sixty-one thousand, five".

Divisors: 1 3 5 7 9 15 21 35 45 63 103 105 257 309 315 515 721 771 927 1285 1545 1799 2163 2313 3605 3855 4635 5397 6489 8995 10815 11565 16191 17137 26471 26985 32445 51411 79413 80955 85685 119959 132355 154233 185297 238239 257055 359877 397065 555891 599795 771165 926485 1079631 1191195 1667673 1765111 1799385 2779455 4404209 5295333 5398155 8338365 8825555 12355777 13212627 15885999 22021045 26476665 30829463 37067331 39637881 61778885 66063135 79429995 92488389 111201993 154147315 185336655 198189405 277465167 453633527 462441945 556009965 1360900581 1387325835 2268167635 3175434689 4082701743 6804502905 9526304067 15877173445 20413508715 28578912201 47631520335 142894561005