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140234213324322 = 232139742114675209
BaseRepresentation
bin11111111000101011010010…
…011110000111011000100010
3200101112021000102221011212200
4133320223102132013120202
5121340044132102334242
61214130412551234030
741352405351506235
oct3770532236073042
9611467012834780
10140234213324322
1140756aa5583397
121388a3b6378916
13603304cc87380
14268b52d21b41c
151132c313ec04c
hex7f8ad2787622

140234213324322 has 96 divisors (see below), whose sum is σ = 331371759678960. Its totient is φ = 42602715832320.

The previous prime is 140234213324299. The next prime is 140234213324341. The reversal of 140234213324322 is 223423312432041.

140234213324322 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 3 + 4 + 2 + 1 + 3 + 324 + 322 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1659667934961 + 138574545389361 = 1288281^2 + 11771769^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2218254 + ... + 16893462.

Almost surely, 2140234213324322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140234213324322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165685879839480).

140234213324322 is an abundant number, since it is smaller than the sum of its proper divisors (191137546354638).

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

140234213324322 is a wasteful number, since it uses less digits than its factorization.

140234213324322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14675748 (or 14675745 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 140234213324322 its reverse (223423312432041), we get a palindrome (363657525756363).

The spelling of 140234213324322 in words is "one hundred forty trillion, two hundred thirty-four billion, two hundred thirteen million, three hundred twenty-four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 97 117 194 234 291 421 582 842 873 1261 1263 1746 2522 2526 3783 3789 5473 7566 7578 10946 11349 16419 22698 32838 40837 49257 81674 98514 122511 245022 367533 530881 735066 1061762 1592643 3185286 4777929 9555858 14675209 29350418 44025627 88051254 132076881 190777717 264153762 381555434 572333151 1144666302 1423495273 1716999453 2846990546 3433998906 4270485819 6178262989 8540971638 12356525978 12811457457 18505438549 18534788967 25622914914 37010877098 37069577934 55516315647 55604366901 80317418857 111032631294 111208733802 160634837714 166548946941 240952256571 333097893882 481904513142 599291509933 722856769713 1198583019866 1445713539426 1797874529799 3595749059598 5393623589397 7790789629129 10787247178794 15581579258258 23372368887387 46744737774774 70117106662161 140234213324322