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142869845232576 = 263271137139626341
BaseRepresentation
bin100000011111000001111010…
…010111111100101111000000
3200201212020001011100120102200
4200133001322113330233000
5122211234420334420301
61223505300102113200
742044001644211630
oct4037017227745700
9621766034316380
10142869845232576
114158284102a830
121403517211b800
13619475128ac07
14273cd1a34c6c0
15117b58c4e9c86
hex81f07a5fcbc0

142869845232576 has 672 divisors, whose sum is σ = 528130772682240. Its totient is φ = 35846290022400.

The previous prime is 142869845232553. The next prime is 142869845232589. The reversal of 142869845232576 is 675232548968241.

142869845232576 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 6 + 9 + 8 + 4 + 523 + 25 + 76 = 666.

142869845232576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 227789166 + ... + 228415506.

It is an arithmetic number, because the mean of its divisors is an integer number (785908887920).

Almost surely, 2142869845232576 is an apocalyptic number.

142869845232576 is a gapful number since it is divisible by the number (16) 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 142869845232576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264065386341120).

142869845232576 is an abundant number, since it is smaller than the sum of its proper divisors (385260927449664).

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

142869845232576 is a wasteful number, since it uses less digits than its factorization.

142869845232576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626553 (or 626540 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 72.

The spelling of 142869845232576 in words is "one hundred forty-two trillion, eight hundred sixty-nine billion, eight hundred forty-five million, two hundred thirty-two thousand, five hundred seventy-six".