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142997557248000 = 215335371321093
BaseRepresentation
bin100000100000111000110110…
…100110101000000000000000
3200202022102200122001011021000
4200200320312212220000000
5122220332444123414000
61224044100525532000
742056142526350210
oct4040706646500000
9622272618034230
10142997557248000
1141621a18145214
1214055a74714000
1361a37c5136600
1427451939d6240
15117ea64562000
hex820e369a8000

142997557248000 has 3072 divisors, whose sum is σ = 654962284454400. Its totient is φ = 30143309414400.

The previous prime is 142997557247989. The next prime is 142997557248037. The reversal of 142997557248000 is 842755799241.

142997557248000 is a `hidden beast` number, since 1 + 429 + 97 + 55 + 72 + 4 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 130830335454 + ... + 130830336546.

Almost surely, 2142997557248000 is an apocalyptic number.

142997557248000 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 142997557248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327481142227200).

142997557248000 is an abundant number, since it is smaller than the sum of its proper divisors (511964727206400).

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

142997557248000 is an equidigital number, since it uses as much as digits as its factorization.

142997557248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 142997557248000 in words is "one hundred forty-two trillion, nine hundred ninety-seven billion, five hundred fifty-seven million, two hundred forty-eight thousand".