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23400531314325 = 3552112333150097
BaseRepresentation
bin1010101001000010111000…
…10110110100011010010101
310001212001212021001201100000
411110201130112310122111
511031343242004024300
6121434020005441513
74633426660205244
oct524413426643225
9101761767051300
1023400531314325
117502122970460
12275b21a710299
13100987854c339
145ac83db0095b
152a8a7c974c00
hex15485c5b4695

23400531314325 has 144 divisors (see below), whose sum is σ = 47437312942656. Its totient is φ = 11340773452800.

The previous prime is 23400531314309. The next prime is 23400531314353. The reversal of 23400531314325 is 52341313500432.

23400531314325 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 0 + 5 + 313 + 14 + 325 = 666.

It is not a de Polignac number, because 23400531314325 - 24 = 23400531314309 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 23400531314325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 155827677 + ... + 155977773.

It is an arithmetic number, because the mean of its divisors is an integer number (329425784324).

Almost surely, 223400531314325 is an apocalyptic number.

23400531314325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23400531314325 is an abundant number, since it is smaller than the sum of its proper divisors (24036781628331).

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

23400531314325 is a wasteful number, since it uses less digits than its factorization.

23400531314325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152466 (or 152449 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 23400531314325 its reverse (52341313500432), we get a palindrome (75741844814757).

The spelling of 23400531314325 in words is "twenty-three trillion, four hundred billion, five hundred thirty-one million, three hundred fourteen thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 135 165 225 243 275 297 405 495 675 825 891 1215 1485 2025 2333 2475 2673 4455 6075 6999 7425 11665 13365 20997 22275 25663 34995 58325 62991 66825 76989 104985 128315 150097 174975 188973 230967 314955 384945 450291 524925 566919 641575 692901 750485 944865 1154835 1350873 1574775 1651067 1924725 2078703 2251455 2834595 3464505 3752425 4052619 4724325 4953201 5774175 6236109 6754365 8255335 10393515 11257275 12157857 14172975 14859603 17322525 20263095 24766005 31180545 33771825 36473571 41276675 44578809 51967575 60789285 74298015 101315475 123830025 133736427 155902725 182367855 222894045 303946425 350176301 371490075 401209281 668682135 911839275 1050528903 1114470225 1750881505 2006046405 3151586709 3343410675 3851939311 5252644515 8754407525 9454760127 10030232025 11555817933 15757933545 19259696555 26263222575 28364280381 34667453799 47273800635 57779089665 78789667725 85092841143 96298482775 104002361397 141821401905 173337268995 236369003175 288895448325 312007084191 425464205715 520011806985 709107009525 866686344975 936021252573 1560035420955 2127321028575 2600059034925 4680106262865 7800177104775 23400531314325