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231415144000 = 2653231257691
BaseRepresentation
bin1101011110000101101…
…0101101111001000000
3211010022201102100111021
43113201122231321000
512242414234102000
6254151033355224
722501453161055
oct3274132557100
9733281370437
10231415144000
118a1628a7927
1238a24568b14
1318a8c935a91
14b2b446102c
15604643511a
hex35e16ade40

231415144000 has 112 divisors (see below), whose sum is σ = 598017453696. Its totient is φ = 88541376000.

The previous prime is 231415143997. The next prime is 231415144063. The reversal of 231415144000 is 441514132.

231415144000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444846 + ... + 812845.

Almost surely, 2231415144000 is an apocalyptic number.

231415144000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231415144000 is an abundant number, since it is smaller than the sum of its proper divisors (366602309696).

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

231415144000 is a wasteful number, since it uses less digits than its factorization.

231415144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257741 (or 1257721 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 231415144000 its reverse (441514132), we get a palindrome (231856658132).

The spelling of 231415144000 in words is "two hundred thirty-one billion, four hundred fifteen million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 125 160 184 200 230 250 320 368 400 460 500 575 736 800 920 1000 1150 1472 1600 1840 2000 2300 2875 3680 4000 4600 5750 7360 8000 9200 11500 18400 23000 36800 46000 92000 184000 1257691 2515382 5030764 6288455 10061528 12576910 20123056 25153820 28926893 31442275 40246112 50307640 57853786 62884550 80492224 100615280 115707572 125769100 144634465 157211375 201230560 231415144 251538200 289268930 314422750 402461120 462830288 503076400 578537860 628845500 723172325 925660576 1006152800 1157075720 1257691000 1446344650 1851321152 2012305600 2314151440 2515382000 2892689300 3615861625 4628302880 5030764000 5785378600 7231723250 9256605760 10061528000 11570757200 14463446500 23141514400 28926893000 46283028800 57853786000 115707572000 231415144000