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231381819394944 = 27323143113183059
BaseRepresentation
bin110100100111000011000111…
…001001110000101110000000
31010100020212220211022011221120
4310213003013021300232000
5220311424431231114234
62140035201305552240
766510533120043441
oct6447030711605600
91110225824264846
10231381819394944
11677a8529a33a59
1221b4b41b1a5680
139c1529a84b30a
14411cd22bb92c8
151bb3b8ad47049
hexd270c7270b80

231381819394944 has 128 divisors (see below), whose sum is σ = 641338027603200. Its totient is φ = 73772994932736.

The previous prime is 231381819394889. The next prime is 231381819394981. The reversal of 231381819394944 is 449493918183132.

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 (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1263882487 + ... + 1264065545.

It is an arithmetic number, because the mean of its divisors is an integer number (5010453340650).

Almost surely, 2231381819394944 is an apocalyptic number.

231381819394944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

231381819394944 is an abundant number, since it is smaller than the sum of its proper divisors (409956208208256).

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

231381819394944 is a wasteful number, since it uses less digits than its factorization.

231381819394944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326212 (or 326200 counting only the distinct ones).

The product of its digits is 161243136, while the sum is 69.

The spelling of 231381819394944 in words is "two hundred thirty-one trillion, three hundred eighty-one billion, eight hundred nineteen million, three hundred ninety-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 8832 143113 183059 286226 366118 429339 549177 572452 732236 858678 1098354 1144904 1464472 1717356 2196708 2289808 2928944 3291599 3434712 4210357 4393416 4579616 5857888 6583198 6869424 8420714 8786832 9159232 9874797 11715776 12631071 13166396 13738848 16841428 17573664 18318464 19749594 23431552 25262142 26332792 27477696 33682856 35147328 39499188 50524284 52665584 54955392 67365712 70294656 78998376 101048568 105331168 134731424 157996752 202097136 210662336 269462848 315993504 404194272 421324672 538925696 631987008 808388544 1263974016 1616777088 26198122667 52396245334 78594368001 104792490668 157188736002 209584981336 314377472004 419169962672 602556821341 628754944008 838339925344 1205113642682 1257509888016 1676679850688 1807670464023 2410227285364 2515019776032 3353359701376 3615340928046 4820454570728 5030039552064 7230681856092 9640909141456 10060079104128 14461363712184 19281818282912 28922727424368 38563636565824 57845454848736 77127273131648 115690909697472 231381819394944