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230860349074944 = 293336389458929
BaseRepresentation
bin110100011111011101011101…
…000110010110111000000000
31010021102000220122220012121000
4310133131131012112320000
5220224403443330344234
62134555440311132000
766425052443336001
oct6437353506267000
91107360818805530
10230860349074944
1167617362599346
1221a86347974000
139ba8064525aa4
1441019b42d51a8
151ba531a362899
hexd1f75d196e00

230860349074944 has 160 divisors (see below), whose sum is σ = 683382933684000. Its totient is φ = 76951167270912.

The previous prime is 230860349074913. The next prime is 230860349074969. The reversal of 230860349074944 is 449470943068032.

It is a happy number.

230860349074944 is a `hidden beast` number, since 2 + 3 + 0 + 8 + 60 + 3 + 490 + 7 + 49 + 44 = 666.

230860349074944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2308603490749443 (a number of 44 digits) contains 333 as substring.

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, 502812072 + ... + 503271000.

It is an arithmetic number, because the mean of its divisors is an integer number (4271143335525).

Almost surely, 2230860349074944 is an apocalyptic number.

230860349074944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230860349074944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341691466842000).

230860349074944 is an abundant number, since it is smaller than the sum of its proper divisors (452522584609056).

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

230860349074944 is an equidigital number, since it uses as much as digits as its factorization.

230860349074944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495345 (or 495323 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 230860349074944 in words is "two hundred thirty trillion, eight hundred sixty billion, three hundred forty-nine million, seventy-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 36389 72778 109167 145556 218334 291112 327501 436668 458929 582224 655002 873336 917858 982503 1164448 1310004 1376787 1746672 1835716 1965006 2328896 2620008 2753574 3493344 3671432 3930012 4130361 4657792 5240016 5507148 6986688 7342864 7860024 8260722 9315584 10480032 11014296 12391083 13973376 14685728 15720048 16521444 18631168 20960064 22028592 24782166 27946752 29371456 31440096 33042888 41920128 44057184 49564332 55893504 58742912 62880192 66085776 83840256 88114368 99128664 117485824 125760384 132171552 167680512 176228736 198257328 234971648 251520768 264343104 352457472 396514656 503041536 528686208 704914944 793029312 1057372416 1586058624 2114744832 3172117248 6344234496 16699967381 33399934762 50099902143 66799869524 100199804286 133599739048 150299706429 200399608572 267199478096 300599412858 400799217144 450899119287 534398956192 601198825716 801598434288 901798238574 1068797912384 1202397651432 1603196868576 1803596477148 2137595824768 2404795302864 3206393737152 3607192954296 4275191649536 4809590605728 6412787474304 7214385908592 8550383299072 9619181211456 12825574948608 14428771817184 19238362422912 25651149897216 28857543634368 38476724845824 57715087268736 76953449691648 115430174537472 230860349074944