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423401465760 = 253572138915559
BaseRepresentation
bin1100010100101001011…
…00011010011110100000
31111110212120120000001220
412022110230122132200
523414111233401020
6522301414455040
742406166035500
oct6122454323640
91443776500056
10423401465760
111536220a8a49
126a084364480
1330c07932cc0
14166c8117a00
15b0310ab240
hex6294b1a7a0

423401465760 has 576 divisors, whose sum is σ = 1689689030400. Its totient is φ = 88323637248.

The previous prime is 423401465759. The next prime is 423401465761. The reversal of 423401465760 is 67564104324.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (423401465759) and next prime (423401465761).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (423401465761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27204861 + ... + 27220419.

It is an arithmetic number, because the mean of its divisors is an integer number (2933487900).

Almost surely, 2423401465760 is an apocalyptic number.

423401465760 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 423401465760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844844515200).

423401465760 is an abundant number, since it is smaller than the sum of its proper divisors (1266287564640).

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

423401465760 is a wasteful number, since it uses less digits than its factorization.

423401465760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15693 (or 15678 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 423401465760 in words is "four hundred twenty-three billion, four hundred one million, four hundred sixty-five thousand, seven hundred sixty".