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100414730034 = 23218195332341
BaseRepresentation
bin101110110000100101…
…1110010111100110010
3100121012002000210220100
41131201023302330302
53121122132330114
6114044020053230
710153241056653
oct1354113627462
9317162023810
10100414730034
11396495519a3
1217564834216
13961370a828
144c0817b52a
15292a85c909
hex17612f2f32

100414730034 has 48 divisors (see below), whose sum is σ = 219003594264. Its totient is φ = 33250694400.

The previous prime is 100414730027. The next prime is 100414730057. The reversal of 100414730034 is 430037414001.

It can be written as a sum of positive squares in 4 ways, for example, as 28806575625 + 71608154409 = 169725^2 + 267597^2 .

It is a super-2 number, since 2×1004147300342 (a number of 23 digits) contains 22 as substring.

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, 3088704 + ... + 3121044.

Almost surely, 2100414730034 is an apocalyptic number.

100414730034 is an abundant number, since it is smaller than the sum of its proper divisors (118588864230).

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

100414730034 is a wasteful number, since it uses less digits than its factorization.

100414730034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33483 (or 33480 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 100414730034 in words is "one hundred billion, four hundred fourteen million, seven hundred thirty thousand, thirty-four".

Divisors: 1 2 3 6 9 18 181 362 543 953 1086 1629 1906 2859 3258 5718 8577 17154 32341 64682 97023 172493 194046 291069 344986 517479 582138 1034958 1552437 3104874 5853721 11707442 17561163 30820973 35122326 52683489 61641946 92462919 105366978 184925838 277388757 554777514 5578596113 11157192226 16735788339 33471576678 50207365017 100414730034