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231362331264 = 273371942889
BaseRepresentation
bin1101011101111001000…
…1010000001010000000
3211010012001001012001000
43113132101100022000
512242312224100024
6254141505412000
722500242240061
oct3273621201200
9733161035030
10231362331264
118a136005939
1238a0a93a000
1318a81a0433c
14b2ab434568
1560419a1cc9
hex35de450280

231362331264 has 128 divisors (see below), whose sum is σ = 692458416000. Its totient is φ = 76034488320.

The previous prime is 231362331247. The next prime is 231362331269. The reversal of 231362331264 is 462133263132.

231362331264 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 62 + 331 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (231362331269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226069 + ... + 716820.

It is an arithmetic number, because the mean of its divisors is an integer number (5409831375).

Almost surely, 2231362331264 is an apocalyptic number.

231362331264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

231362331264 is an abundant number, since it is smaller than the sum of its proper divisors (461096084736).

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

231362331264 is an equidigital number, since it uses as much as digits as its factorization.

231362331264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942983 (or 942965 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

Adding to 231362331264 its reverse (462133263132), we get a palindrome (693495594396).

The spelling of 231362331264 in words is "two hundred thirty-one billion, three hundred sixty-two million, three hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 96 108 128 142 144 192 213 216 284 288 384 426 432 568 576 639 852 864 1136 1152 1278 1704 1728 1917 2272 2556 3408 3456 3834 4544 5112 6816 7668 9088 10224 13632 15336 20448 27264 30672 40896 61344 81792 122688 245376 942889 1885778 2828667 3771556 5657334 7543112 8486001 11314668 15086224 16972002 22629336 25458003 30172448 33944004 45258672 50916006 60344896 66945119 67888008 90517344 101832012 120689792 133890238 135776016 181034688 200835357 203664024 267780476 271552032 362069376 401670714 407328048 535560952 543104064 602506071 803341428 814656096 1071121904 1086208128 1205012142 1606682856 1629312192 1807518213 2142243808 2410024284 3213365712 3258624384 3615036426 4284487616 4820048568 6426731424 7230072852 8568975232 9640097136 12853462848 14460145704 19280194272 25706925696 28920291408 38560388544 57840582816 77120777088 115681165632 231362331264