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143093412864 = 21034192931101
BaseRepresentation
bin1000010101000100001…
…0000011010000000000
3111200100102111112110000
42011101002003100000
54321023403202424
6145423004240000
713223662640463
oct2052102032000
9450312445400
10143093412864
115575a556aa6
1223895840000
13106557219cc
146cd63cd2da
153ac75b83c9
hex2151083400

143093412864 has 880 divisors, whose sum is σ = 485070220800. Its totient is φ = 41803776000.

The previous prime is 143093412751. The next prime is 143093412901. The reversal of 143093412864 is 468214390341.

143093412864 is a `hidden beast` number, since 1 + 430 + 9 + 34 + 128 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1416766414 + ... + 1416766514.

It is an arithmetic number, because the mean of its divisors is an integer number (551216160).

Almost surely, 2143093412864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 143093412864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242535110400).

143093412864 is an abundant number, since it is smaller than the sum of its proper divisors (341976807936).

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

143093412864 is a wasteful number, since it uses less digits than its factorization.

143093412864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 143093412864 in words is "one hundred forty-three billion, ninety-three million, four hundred twelve thousand, eight hundred sixty-four".