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142870970880 = 2933511187909
BaseRepresentation
bin1000010100001111000…
…1100000001000000000
3111122202220221022102000
42011003301200020000
54320044432032010
6145344540424000
713215322133541
oct2050361401000
9448686838360
10142870970880
1155655a36050
1223833248000
131061b60a931
146cb4a484c8
153ab2cc97c0
hex2143c60200

142870970880 has 320 divisors, whose sum is σ = 553627958400. Its totient is φ = 34635202560.

The previous prime is 142870970833. The next prime is 142870970909. The reversal of 142870970880 is 88079078241.

It is a happy number.

142870970880 is a `hidden beast` number, since 1 + 428 + 70 + 9 + 70 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1428709708802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 666366 + ... + 854274.

It is an arithmetic number, because the mean of its divisors is an integer number (1730087370).

Almost surely, 2142870970880 is an apocalyptic number.

142870970880 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 142870970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276813979200).

142870970880 is an abundant number, since it is smaller than the sum of its proper divisors (410756987520).

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

142870970880 is a wasteful number, since it uses less digits than its factorization.

142870970880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187952 (or 187930 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 142870970880 in words is "one hundred forty-two billion, eight hundred seventy million, nine hundred seventy thousand, eight hundred eighty".