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23121612544140 = 223251111677582093
BaseRepresentation
bin1010100000111011010111…
…00000001001100010001100
310000212101220221012010022100
411100131223200021202030
511012311030302403030
6121101531104315100
74604324053605165
oct520355340114214
9100771827163270
1023121612544140
117404903558140
122715159312a90
13cb9488106616
1459d1406d876c
152a16a5e0b360
hex15076b80988c

23121612544140 has 72 divisors (see below), whose sum is σ = 76511517879888. Its totient is φ = 5605239404160.

The previous prime is 23121612544109. The next prime is 23121612544157. The reversal of 23121612544140 is 4144521612132.

23121612544140 is a `hidden beast` number, since 2 + 3 + 1 + 21 + 612 + 5 + 4 + 4 + 14 + 0 = 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 = 23121612544095 and 23121612544104.

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, 5838789067 + ... + 5838793026.

It is an arithmetic number, because the mean of its divisors is an integer number (1062659970554).

Almost surely, 223121612544140 is an apocalyptic number.

23121612544140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23121612544140 is an abundant number, since it is smaller than the sum of its proper divisors (53389905335748).

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

23121612544140 is a wasteful number, since it uses less digits than its factorization.

23121612544140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11677582119 (or 11677582114 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 23121612544140 in words is "twenty-three trillion, one hundred twenty-one billion, six hundred twelve million, five hundred forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 11677582093 23355164186 35032746279 46710328372 58387910465 70065492558 105098238837 116775820930 128453403023 140130985116 175163731395 210196477674 233551641860 256906806046 350327462790 385360209069 420392955348 513813612092 525491194185 642267015115 700654925580 770720418138 1050982388370 1156080627207 1284534030230 1541440836276 1926801045345 2101964776740 2312161254414 2569068060460 3853602090690 4624322508828 5780403136035 7707204181380 11560806272070 23121612544140