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231997841497728 = 2734173129342977
BaseRepresentation
bin110100110000000000110100…
…111011100101111010000000
31010102102202222110120101120000
4310300000310323211322000
5220402023034410411403
62141230200445320000
766603201533366415
oct6460006473457200
91112382873511500
10231997841497728
1167a15806399509
122202a89b866000
139c5b3c1a002c7
144140a80d0610c
151bc4be25c47a3
hexd30034ee5e80

231997841497728 has 160 divisors (see below), whose sum is σ = 694412699997060. Its totient is φ = 76885603909632.

The previous prime is 231997841497663. The next prime is 231997841497757. The reversal of 231997841497728 is 827794148799132.

231997841497728 is a `hidden beast` number, since 2 + 3 + 1 + 9 + 97 + 8 + 414 + 97 + 7 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 202370199073344 + 29627642424384 = 14225688^2 + 5443128^2 .

It is a super-4 number, since 4×2319978414977284 (a number of 59 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62877825 + ... + 66465152.

Almost surely, 2231997841497728 is an apocalyptic number.

It is an amenable number.

231997841497728 is an abundant number, since it is smaller than the sum of its proper divisors (462414858499332).

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

231997841497728 is a wasteful number, since it uses less digits than its factorization.

231997841497728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129343176 (or 129343155 counting only the distinct ones).

The product of its digits is 3072577536, while the sum is 81.

The spelling of 231997841497728 in words is "two hundred thirty-one trillion, nine hundred ninety-seven billion, eight hundred forty-one million, four hundred ninety-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 173 192 216 288 324 346 384 432 519 576 648 692 864 1038 1152 1296 1384 1557 1728 2076 2592 2768 3114 3456 4152 4671 5184 5536 6228 8304 9342 10368 11072 12456 14013 16608 18684 22144 24912 28026 33216 37368 49824 56052 66432 74736 99648 112104 149472 199296 224208 298944 448416 597888 896832 1793664 129342977 258685954 388028931 517371908 776057862 1034743816 1164086793 1552115724 2069487632 2328173586 3104231448 3492260379 4138975264 4656347172 6208462896 6984520758 8277950528 9312694344 10476781137 12416925792 13969041516 16555901056 18625388688 20953562274 22376335021 24833851584 27938083032 37250777376 41907124548 44752670042 49667703168 55876166064 67129005063 74501554752 83814249096 89505340084 111752332128 134258010126 149003109504 167628498192 179010680168 201387015189 223504664256 268516020252 335256996384 358021360336 402774030378 447009328512 537032040504 604161045567 670513992768 716042720672 805548060756 1074064081008 1208322091134 1341027985536 1432085441344 1611096121512 1812483136701 2148128162016 2416644182268 2864170882688 3222192243024 3624966273402 4296256324032 4833288364536 6444384486048 7249932546804 8592512648064 9666576729072 12888768972096 14499865093608 19333153458144 25777537944192 28999730187216 38666306916288 57999460374432 77332613832576 115998920748864 231997841497728