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421149231360 = 283351121361127
BaseRepresentation
bin1100010000011100111…
…00110100100100000000
31111021001121120122022000
412020032130310210000
523400003200400420
6521250121344000
742266320254444
oct6101634644400
91437047518260
10421149231360
11152676841a00
1269756038000
1330939143220
1416552d60824
15ae4d4c2690
hex620e734900

421149231360 has 1728 divisors, whose sum is σ = 1812230676480. Its totient is φ = 91968307200.

The previous prime is 421149231359. The next prime is 421149231379. The reversal of 421149231360 is 63132941124.

421149231360 is a `hidden beast` number, since 4 + 21 + 1 + 49 + 231 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3316135617 + ... + 3316135743.

Almost surely, 2421149231360 is an apocalyptic number.

421149231360 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 421149231360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906115338240).

421149231360 is an abundant number, since it is smaller than the sum of its proper divisors (1391081445120).

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

421149231360 is a wasteful number, since it uses less digits than its factorization.

421149231360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 421149231360 in words is "four hundred twenty-one billion, one hundred forty-nine million, two hundred thirty-one thousand, three hundred sixty".