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131142340232244 = 2232111917429869781
BaseRepresentation
bin11101110100010111110100…
…100110101100010000110100
3122012100002022011200201010100
4131310113310212230100310
5114142114003044412434
61142525543121354100
736423502305364365
oct3564276446542064
9565302264621110
10131142340232244
11388711772073a0
1212860320498930
135823892203303
142455474975b6c
1510264a71ed699
hex7745f49ac434

131142340232244 has 72 divisors (see below), whose sum is σ = 380668356038880. Its totient is φ = 37648518724800.

The previous prime is 131142340232237. The next prime is 131142340232303. The reversal of 131142340232244 is 442232043241131.

131142340232244 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 4 + 2 + 3 + 402 + 3 + 2 + 244 = 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 = 131142340232199 and 131142340232208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8714927367 + ... + 8714942414.

It is an arithmetic number, because the mean of its divisors is an integer number (5287060500540).

Almost surely, 2131142340232244 is an apocalyptic number.

It is an amenable number.

131142340232244 is an abundant number, since it is smaller than the sum of its proper divisors (249526015806636).

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

131142340232244 is a wasteful number, since it uses less digits than its factorization.

131142340232244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17429869821 (or 17429869816 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 131142340232244 its reverse (442232043241131), we get a palindrome (573374383473375).

The spelling of 131142340232244 in words is "one hundred thirty-one trillion, one hundred forty-two billion, three hundred forty million, two hundred thirty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 7524 17429869781 34859739562 52289609343 69719479124 104579218686 156868828029 191728567591 209158437372 313737656058 331167525839 383457135182 575185702773 627475312116 662335051678 766914270364 993502577517 1150371405546 1324670103356 1725557108319 1987005155034 2300742811092 2980507732551 3451114216638 3642842784229 3974010310068 5961015465102 6902228433276 7285685568458 10928528352687 11922030930204 14571371136916 21857056705374 32785585058061 43714113410748 65571170116122 131142340232244