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53142344324136 = 23331937349970657
BaseRepresentation
bin11000001010101001010101…
…00011100101010000101000
320222011100200100101102111000
430011110222203211100220
523431141010121333021
6305005131141435000
714123256555443604
oct1405245243452050
9228140610342430
1053142344324136
1115a295a5a53371
125b6341370ba60
1323863bc708ac2
14d1a163218504
1562254aceeb26
hex30552a8e5428

53142344324136 has 128 divisors (see below), whose sum is σ = 159586620048000. Its totient is φ = 16328230926336.

The previous prime is 53142344324119. The next prime is 53142344324183. The reversal of 53142344324136 is 63142344324135.

53142344324136 is a `hidden beast` number, since 5 + 3 + 142 + 3 + 4 + 432 + 41 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 53142344324091 and 53142344324100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174833481 + ... + 175137176.

It is an arithmetic number, because the mean of its divisors is an integer number (1246770469125).

Almost surely, 253142344324136 is an apocalyptic number.

It is an amenable number.

53142344324136 is an abundant number, since it is smaller than the sum of its proper divisors (106444275723864).

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

53142344324136 is a wasteful number, since it uses less digits than its factorization.

53142344324136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349970728 (or 349970718 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 45.

Subtracting 53142344324136 from its reverse (63142344324135), we obtain a palindrome (9999999999999).

The spelling of 53142344324136 in words is "fifty-three trillion, one hundred forty-two billion, three hundred forty-four million, three hundred twenty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 37 38 54 57 72 74 76 108 111 114 148 152 171 216 222 228 296 333 342 444 456 513 666 684 703 888 999 1026 1332 1368 1406 1998 2052 2109 2664 2812 3996 4104 4218 5624 6327 7992 8436 12654 16872 18981 25308 37962 50616 75924 151848 349970657 699941314 1049911971 1399882628 2099823942 2799765256 3149735913 4199647884 6299471826 6649442483 8399295768 9449207739 12598943652 12948914309 13298884966 18898415478 19948327449 25197887304 25897828618 26597769932 37796830956 38846742927 39896654898 51795657236 53195539864 59844982347 75593661912 77693485854 79793309796 103591314472 116540228781 119689964694 155386971708 159586619592 179534947041 233080457562 239379929388 246029371871 310773943416 349620686343 359069894082 466160915124 478759858776 492058743742 699241372686 718139788164 738088115613 932321830248 984117487484 1398482745372 1436279576328 1476176231226 1968234974968 2214264346839 2796965490744 2952352462452 4428528693678 5904704924904 6642793040517 8857057387356 13285586081034 17714114774712 26571172162068 53142344324136