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230014143402400 = 25527377811087159
BaseRepresentation
bin110100010011001001010111…
…010011111001000110100000
31010011102010201010122002202001
4310103021113103321012200
5220122022431202334100
62133111012210533344
766306654616653250
oct6423112723710640
91104363633562661
10230014143402400
11673204a5548a15
122196a347297254
139b46318938b96
1440b2a5b535960
151b8d2e0875d6a
hexd132574f91a0

230014143402400 has 144 divisors (see below), whose sum is σ = 641757036170880. Its totient is φ = 78859832140800.

The previous prime is 230014143402383. The next prime is 230014143402479. The reversal of 230014143402400 is 4204341410032.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 211030021 + ... + 212117179.

It is an arithmetic number, because the mean of its divisors is an integer number (4456646084520).

Almost surely, 2230014143402400 is an apocalyptic number.

230014143402400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230014143402400 is an abundant number, since it is smaller than the sum of its proper divisors (411742892768480).

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

230014143402400 is a wasteful number, since it uses less digits than its factorization.

230014143402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124967 (or 1124954 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 230014143402400 its reverse (4204341410032), we get a palindrome (234218484812432).

The spelling of 230014143402400 in words is "two hundred thirty trillion, fourteen billion, one hundred forty-three million, four hundred two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2800 5600 37781 75562 151124 188905 264467 302248 377810 528934 604496 755620 944525 1057868 1087159 1208992 1322335 1511240 1889050 2115736 2174318 2644670 3022480 3778100 4231472 4348636 5289340 5435795 6044960 6611675 7556200 7610113 8462944 8697272 10578680 10871590 13223350 15112400 15220226 17394544 21157360 21743180 26446700 27178975 30224800 30440452 34789088 38050565 42314720 43486360 52893400 54357950 60880904 76101130 86972720 105786800 108715900 121761808 152202260 173945440 190252825 211573600 217431800 243523616 304404520 380505650 434863600 608809040 761011300 869727200 1217618080 1522022600 3044045200 6088090400 41073954179 82147908358 164295816716 205369770895 287517679253 328591633432 410739541790 575035358506 657183266864 821479083580 1026848854475 1150070717012 1314366533728 1437588396265 1642958167160 2053697708950 2300141434024 2875176792530 3285916334320 4107395417900 4600282868048 5750353585060 6571832668640 7187941981325 8214790835800 9200565736096 11500707170120 14375883962650 16429581671600 23001414340240 28751767925300 32859163343200 46002828680480 57503535850600 115007071701200 230014143402400