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10421994240 = 283257237499
BaseRepresentation
bin10011011010011001…
…10000001100000000
3222220022211011101200
421231030300030000
5132321012303430
64442055301200
7516160326600
oct115514601400
928808734350
1010421994240
114468a42589
12202a37a800
13ca125cac8
1470c210c00
1540ee68460
hex26d330300

10421994240 has 648 divisors, whose sum is σ = 43166214000. Its totient is φ = 2313142272.

The previous prime is 10421994227. The next prime is 10421994281. The reversal of 10421994240 is 4249912401.

10421994240 is a `hidden beast` number, since 1 + 0 + 42 + 199 + 424 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10421994195 and 10421994204.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20885511 + ... + 20886009.

Almost surely, 210421994240 is an apocalyptic number.

10421994240 is a gapful number since it is divisible by the number (10) 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 10421994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21583107000).

10421994240 is an abundant number, since it is smaller than the sum of its proper divisors (32744219760).

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

10421994240 is a wasteful number, since it uses less digits than its factorization.

10421994240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10421994240 in words is "ten billion, four hundred twenty-one million, nine hundred ninety-four thousand, two hundred forty".