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455414039040 = 2935177173673
BaseRepresentation
bin1101010000010001100…
…10101100001000000000
31121112111120212012222010
412220020302230020000
524430141443222130
6545114143212520
744621404314102
oct6501062541000
91545446765863
10455414039040
1116615a397084
12743192a7140
1333c39c5535c
1418083971572
15bca672d0b0
hex6a08cac200

455414039040 has 640 divisors, whose sum is σ = 1587023995392. Its totient is φ = 110981283840.

The previous prime is 455414039029. The next prime is 455414039149. The reversal of 455414039040 is 40930414554.

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 455414039040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 676692144 + ... + 676692816.

Almost surely, 2455414039040 is an apocalyptic number.

455414039040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455414039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793511997696).

455414039040 is an abundant number, since it is smaller than the sum of its proper divisors (1131609956352).

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

455414039040 is a wasteful number, since it uses less digits than its factorization.

455414039040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 455414039040 in words is "four hundred fifty-five billion, four hundred fourteen million, thirty-nine thousand, forty".