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142241242320144 = 24321189798764091
BaseRepresentation
bin100000010101111000011110…
…101110001000110100010000
3200122122010111202002000102100
4200111320132232020310100
5122120440031013221034
61222304420304120400
741650406404500432
oct4025703656106420
9618563452060370
10142241242320144
1141360199082830
1213b53380306100
13614a3a3837566
14271a727414652
15116a04b520099
hex815e1eb88d10

142241242320144 has 60 divisors (see below), whose sum is σ = 434266823148912. Its totient is φ = 43103406763200.

The previous prime is 142241242320103. The next prime is 142241242320167. The reversal of 142241242320144 is 441023242142241.

142241242320144 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 412 + 4 + 232 + 0 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 142241242320099 and 142241242320108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44899380462 + ... + 44899383629.

Almost surely, 2142241242320144 is an apocalyptic number.

It is an amenable number.

142241242320144 is an abundant number, since it is smaller than the sum of its proper divisors (292025580828768).

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

142241242320144 is a wasteful number, since it uses less digits than its factorization.

142241242320144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89798764116 (or 89798764107 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 142241242320144 its reverse (441023242142241), we get a palindrome (583264484462385).

The spelling of 142241242320144 in words is "one hundred forty-two trillion, two hundred forty-one billion, two hundred forty-two million, three hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 89798764091 179597528182 269396292273 359195056364 538792584546 718390112728 808188876819 987786405001 1077585169092 1436780225456 1616377753638 1975572810002 2155170338184 2963359215003 3232755507276 3951145620004 4310340676368 5926718430006 6465511014552 7902291240008 8890077645009 11853436860012 12931022029104 15804582480016 17780155290018 23706873720024 35560310580036 47413747440048 71120621160072 142241242320144