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242451020034162 = 2321929103323664623
BaseRepresentation
bin110111001000001000000110…
…111011001011000001110010
31011210110002110110011120021200
4313020020012323023001302
5223234304142112043122
62215352243323232030
7102032336203044612
oct6710100673130162
91153402413146250
10242451020034162
117028599a140395
1223238770078616
13a5390578cba64
1443c2998b26a42
151d06a928645ac
hexdc8206ecb072

242451020034162 has 96 divisors (see below), whose sum is σ = 572579776454400. Its totient is φ = 73851795069696.

The previous prime is 242451020034137. The next prime is 242451020034173. The reversal of 242451020034162 is 261430020154242.

242451020034162 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 51 + 0 + 200 + 341 + 62 = 666.

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, 1587018 + ... + 22077605.

It is an arithmetic number, because the mean of its divisors is an integer number (5964372671400).

Almost surely, 2242451020034162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242451020034162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286289888227200).

242451020034162 is an abundant number, since it is smaller than the sum of its proper divisors (330128756420238).

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

242451020034162 is a wasteful number, since it uses less digits than its factorization.

242451020034162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23665712 (or 23665709 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 242451020034162 in words is "two hundred forty-two trillion, four hundred fifty-one billion, twenty million, thirty-four thousand, one hundred sixty-two".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 171 174 261 342 522 551 1033 1102 1653 2066 3099 3306 4959 6198 9297 9918 18594 19627 29957 39254 58881 59914 89871 117762 176643 179742 269613 353286 539226 569183 1138366 1707549 3415098 5122647 10245294 23664623 47329246 70993869 141987738 212981607 425963214 449627837 686274067 899255674 1348883511 1372548134 2058822201 2697767022 4046650533 4117644402 6176466603 8093301066 12352933206 13039207273 24445555559 26078414546 39117621819 48891111118 73336666677 78235243638 117352865457 146673333354 220010000031 234705730914 440020000062 464465555621 708921111211 928931111242 1393396666863 1417842222422 2126763333633 2786793333726 4180190000589 4253526667266 6380290000899 8360380001178 12760580001798 13469501113009 26939002226018 40408503339027 80817006678054 121225510017081 242451020034162