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142837098624 = 27331117213001
BaseRepresentation
bin1000010100000111000…
…0010010100010000000
3111122200120012102102000
42011001300102202000
54320012244123444
6145341330424000
713214431206603
oct2050160224200
9448616172360
10142837098624
1155638900350
1223823a32000
13106145ab28c
146cb034c33a
153aaed38469
hex2141c12880

142837098624 has 384 divisors, whose sum is σ = 488573553600. Its totient is φ = 40734720000.

The previous prime is 142837098619. The next prime is 142837098643. The reversal of 142837098624 is 426890738241.

142837098624 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 3 + 7 + 0 + 9 + 8 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 10980124 + ... + 10993124.

Almost surely, 2142837098624 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 142837098624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244286776800).

142837098624 is an abundant number, since it is smaller than the sum of its proper divisors (345736454976).

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

142837098624 is a wasteful number, since it uses less digits than its factorization.

142837098624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13069 (or 13034 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 142837098624 in words is "one hundred forty-two billion, eight hundred thirty-seven million, ninety-eight thousand, six hundred twenty-four".