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414431252093 = 232783423917
BaseRepresentation
bin1100000011111100000…
…01110000111001111101
31110121201102111221020002
412001332001300321331
523242223400031333
6514215340004045
741640664343165
oct6017601607175
91417642457202
10414431252093
1114a839701721
12683a0230625
13301083b1671
14160b6a575a5
15aba88150e8
hex607e070e7d

414431252093 has 6 divisors (see below), whose sum is σ = 433233426654. Its totient is φ = 396412501496.

The previous prime is 414431252083. The next prime is 414431252101. The reversal of 414431252093 is 390252134414.

It can be written as a sum of positive squares in only one way, i.e., 356120110564 + 58311141529 = 596758^2 + 241477^2 .

It is not a de Polignac number, because 414431252093 - 218 = 414430989949 is a prime.

It is a super-2 number, since 2×4144312520932 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414431252063) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 391711430 + ... + 391712487.

It is an arithmetic number, because the mean of its divisors is an integer number (72205571109).

Almost surely, 2414431252093 is an apocalyptic number.

It is an amenable number.

414431252093 is a deficient number, since it is larger than the sum of its proper divisors (18802174561).

414431252093 is an equidigital number, since it uses as much as digits as its factorization.

414431252093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783423963 (or 783423940 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 414431252093 in words is "four hundred fourteen billion, four hundred thirty-one million, two hundred fifty-two thousand, ninety-three".

Divisors: 1 23 529 783423917 18018750091 414431252093