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23142256410504 = 23371153236280491
BaseRepresentation
bin1010100001100001110011…
…11110001111111110001000
310000221101012122021012011110
411100300321332033332020
511013130320120114004
6121115223354130320
74605654454561410
oct520607176177610
9100841178235143
1023142256410504
117412637476520
12271915aa209a0
13cbb3c7cc846a
145a013c305640
152a1eb345c589
hex150c39f8ff88

23142256410504 has 128 divisors (see below), whose sum is σ = 73492684231680. Its totient is φ = 5897561030400.

The previous prime is 23142256410487. The next prime is 23142256410593. The reversal of 23142256410504 is 40501465224132.

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, 118042302 + ... + 118238189.

It is an arithmetic number, because the mean of its divisors is an integer number (574161595560).

Almost surely, 223142256410504 is an apocalyptic number.

23142256410504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23142256410504 is an abundant number, since it is smaller than the sum of its proper divisors (50350427821176).

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

23142256410504 is a wasteful number, since it uses less digits than its factorization.

23142256410504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236280571 (or 236280567 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 23142256410504 in words is "twenty-three trillion, one hundred forty-two billion, two hundred fifty-six million, four hundred ten thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 53 56 66 77 84 88 106 132 154 159 168 212 231 264 308 318 371 424 462 583 616 636 742 924 1113 1166 1272 1484 1749 1848 2226 2332 2968 3498 4081 4452 4664 6996 8162 8904 12243 13992 16324 24486 32648 48972 97944 236280491 472560982 708841473 945121964 1417682946 1653963437 1890243928 2599085401 2835365892 3307926874 4961890311 5198170802 5670731784 6615853748 7797256203 9923780622 10396341604 12522866023 13231707496 15594512406 18193597807 19847561244 20792683208 25045732046 31189024812 36387195614 37568598069 39695122488 50091464092 54580793421 62378049624 72774391228 75137196138 87660062161 100182928184 109161586842 137751526253 145548782456 150274392276 175320124322 218323173684 262980186483 275503052506 300548784552 350640248644 413254578759 436646347368 525960372966 551006105012 701280497288 826509157518 964260683771 1051920745932 1102012210024 1653018315036 1928521367542 2103841491864 2892782051313 3306036630072 3857042735084 5785564102626 7714085470168 11571128205252 23142256410504