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14020570368 = 283372343293
BaseRepresentation
bin11010000111011000…
…01110110100000000
31100012010011202211000
431003230032310000
5212203231222433
610235125252000
71004304611310
oct150354166400
940163152730
1014020570368
115a45279042
122873564000
131425961aac
1497010d440
15570d48113
hex343b0ed00

14020570368 has 576 divisors, whose sum is σ = 50767073280. Its totient is φ = 3729825792.

The previous prime is 14020570357. The next prime is 14020570381. The reversal of 14020570368 is 86307502041.

14020570368 is a `hidden beast` number, since 1 + 4 + 0 + 20 + 570 + 3 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 47851630 + ... + 47851922.

It is an arithmetic number, because the mean of its divisors is an integer number (88137280).

Almost surely, 214020570368 is an apocalyptic number.

14020570368 is a gapful number since it is divisible by the number (18) 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 14020570368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25383536640).

14020570368 is an abundant number, since it is smaller than the sum of its proper divisors (36746502912).

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

14020570368 is a wasteful number, since it uses less digits than its factorization.

14020570368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 14020570368 in words is "fourteen billion, twenty million, five hundred seventy thousand, three hundred sixty-eight".