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142398507120 = 243523412692339
BaseRepresentation
bin1000010010011110011…
…1001100100001110000
3111121112222220122222020
42010213213030201300
54313113004211440
6145230022111440
713200524224302
oct2044747144160
9447488818866
10142398507120
1155433277031
1223720b7b580
131057477728c
146c6bdbd972
153a865a03d0
hex21279cc870

142398507120 has 320 divisors, whose sum is σ = 473819673600. Its totient is φ = 35289210880.

The previous prime is 142398507089. The next prime is 142398507169. The reversal of 142398507120 is 21705893241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60878911 + ... + 60881249.

It is an arithmetic number, because the mean of its divisors is an integer number (1480686480).

Almost surely, 2142398507120 is an apocalyptic number.

142398507120 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 142398507120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236909836800).

142398507120 is an abundant number, since it is smaller than the sum of its proper divisors (331421166480).

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

142398507120 is a wasteful number, since it uses less digits than its factorization.

142398507120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 142398507120 in words is "one hundred forty-two billion, three hundred ninety-eight million, five hundred seven thousand, one hundred twenty".