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414269875044 = 22321072732
BaseRepresentation
bin1100000011101000110…
…10001010001101100100
31110121022011212010112100
412001310122022031210
523241411042000134
6514151333052100
741633664560154
oct6016432121544
91417264763470
10414269875044
1114a7665a9763
1268356187030
13300b0b2b19c
141609d44a764
15ab99589999
hex607468a364

414269875044 has 27 divisors (see below), whose sum is σ = 1047191946073. Its totient is φ = 138088671072.

The previous prime is 414269874971. The next prime is 414269875049. The reversal of 414269875044 is 440578962414.

The square root of 414269875044 is 643638.

It is a perfect power (a square), and thus also a powerful number.

414269875044 is a `hidden beast` number, since 4 + 1 + 42 + 6 + 98 + 7 + 504 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15492780900 + 398777094144 = 124470^2 + 631488^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414269875049) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3808192 + ... + 3915464.

Almost surely, 2414269875044 is an apocalyptic number.

414269875044 is the 643638-th square number.

It is an amenable number.

414269875044 is an abundant number, since it is smaller than the sum of its proper divisors (632922071029).

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

414269875044 is an frugal number, since it uses more digits than its factorization.

414269875044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214556 (or 107278 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 414269875044 in words is "four hundred fourteen billion, two hundred sixty-nine million, eight hundred seventy-five thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 107273 214546 321819 429092 643638 965457 1287276 1930914 3861828 11507496529 23014993058 34522489587 46029986116 69044979174 103567468761 138089958348 207134937522 414269875044