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414445957704 = 23325756193857
BaseRepresentation
bin1100000011111101110…
…01110111001001001000
31110121202110012001112100
412001332321313021020
523242241131121304
6514221023113400
741641233341532
oct6017671671110
91417673161470
10414445957704
1114a846a36219
12683a5142860
133010b45cccc
14160b89a4852
15aba9c6c439
hex607ee77248

414445957704 has 24 divisors (see below), whose sum is σ = 1122457802310. Its totient is φ = 138148652544.

The previous prime is 414445957693. The next prime is 414445957753. The reversal of 414445957704 is 407759544414.

It is a happy number.

414445957704 is a `hidden beast` number, since 4 + 1 + 4 + 44 + 595 + 7 + 7 + 0 + 4 = 666.

414445957704 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 356889149604 + 57556808100 = 597402^2 + 239910^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2878096857 + ... + 2878097000.

Almost surely, 2414445957704 is an apocalyptic number.

It is an amenable number.

414445957704 is an abundant number, since it is smaller than the sum of its proper divisors (708011844606).

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

414445957704 is a wasteful number, since it uses less digits than its factorization.

414445957704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5756193869 (or 5756193862 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 414445957704 in words is "four hundred fourteen billion, four hundred forty-five million, nine hundred fifty-seven thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5756193857 11512387714 17268581571 23024775428 34537163142 46049550856 51805744713 69074326284 103611489426 138148652568 207222978852 414445957704