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211427536140304 = 24112192173932
BaseRepresentation
bin110000000100101011001111…
…001011111111100000010000
31000201121021102111221222010221
4300010223033023333200100
5210203012043222442204
62025400245204202424
762351064304653451
oct6004531713774020
91021537374858127
10211427536140304
1161404a07279400
121b8680a6099414
1390c86b9acb9c3
143a2d20c483128
151969aae7cd654
hexc04acf2ff810

211427536140304 has 135 divisors (see below), whose sum is σ = 475239220216509. Its totient is φ = 91040115893760.

The previous prime is 211427536140193. The next prime is 211427536140313. The reversal of 211427536140304 is 403041635724112.

The square root of 211427536140304 is 14540548.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 46365477008400 + 165062059131904 = 6809220^2 + 12847648^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12155889432 + ... + 12155906824.

Almost surely, 2211427536140304 is an apocalyptic number.

211427536140304 is the 14540548-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211427536140304

211427536140304 is an abundant number, since it is smaller than the sum of its proper divisors (263811684076205).

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

211427536140304 is an frugal number, since it uses more digits than its factorization.

211427536140304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34854 (or 17425 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 211427536140304 in words is "two hundred eleven trillion, four hundred twenty-seven billion, five hundred thirty-six million, one hundred forty thousand, three hundred four".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 121 152 176 209 242 304 361 418 484 722 836 968 1444 1672 1936 2299 2888 3344 3971 4598 5776 7942 9196 15884 17393 18392 31768 34786 36784 43681 63536 69572 87362 139144 174724 191323 278288 330467 349448 382646 660934 698896 765292 1321868 1530584 2104553 2643736 3061168 3635137 4209106 5287472 6278873 7270274 8418212 12557746 14540548 16836424 25115492 29081096 33672848 39986507 50230984 58162192 69067603 79973014 100461968 138135206 159946028 276270412 302516449 319892056 552540824 605032898 639784112 759743633 1105081648 1210065796 1519487266 2420131592 3038974532 3327680939 4840263184 5747812531 6077949064 6655361878 11495625062 12155898128 13310723756 22991250124 26621447512 36604490329 45982500248 53242895024 63225937841 73208980658 91965000496 109208438089 126451875682 146417961316 218416876178 252903751364 292835922632 436833752356 505807502728 585671845264 695485316251 873667504712 1011615005456 1201292818979 1390970632502 1747335009424 2402585637958 2781941265004 4805171275916 5563882530008 9610342551832 11127765060016 13214221008769 19220685103664 26428442017538 52856884035076 105713768070152 211427536140304