Search a number
-
+
241540762463704 = 231119261312403381
BaseRepresentation
bin110110111010111000010111…
…010110000110110111011000
31011200020001221000221220200101
4312322320113112012313120
5223124400440142314304
62213414143332345144
7101606513156260054
oct6672702726066730
91150201830856611
10241540762463704
116aa64953502040
12231102747751b4
13a4a1271c92042
1443908c72d0c64
151cdd069a4c8a4
hexdbae17586dd8

241540762463704 has 96 divisors (see below), whose sum is σ = 522283097661840. Its totient is φ = 103843081900800.

The previous prime is 241540762463551. The next prime is 241540762463717. The reversal of 241540762463704 is 407364267045142.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13272094 + ... + 25675474.

Almost surely, 2241540762463704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241540762463704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261141548830920).

241540762463704 is an abundant number, since it is smaller than the sum of its proper divisors (280742335198136).

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

241540762463704 is a wasteful number, since it uses less digits than its factorization.

241540762463704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12404049 (or 12404026 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 55.

The spelling of 241540762463704 in words is "two hundred forty-one trillion, five hundred forty billion, seven hundred sixty-two million, four hundred sixty-three thousand, seven hundred four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 361 418 613 722 836 1226 1444 1672 2452 2888 3971 4904 6743 7942 11647 13486 15884 23294 26972 31768 46588 53944 93176 128117 221293 256234 442586 512468 885172 1024936 1770344 2434223 4868446 9736892 12403381 19473784 24806762 49613524 99227048 136437191 235664239 272874382 471328478 545748764 942656956 1091497528 1885313912 2592306629 4477620541 5184613258 7603272553 8955241082 10369226516 15206545106 17910482164 20738453032 30413090212 35820964328 49253825951 60826180424 83635998083 98507651902 144462178507 167271996166 197015303804 288924357014 334543992332 394030607608 577848714028 669087984664 1155697428056 1589083963577 2744781391633 3178167927154 5489562783266 6356335854308 10979125566532 12712671708616 21958251133064 30192595307963 60385190615926 120770381231852 241540762463704