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142398616248 = 2335729734943
BaseRepresentation
bin1000010010011110011…
…1100111001010111000
3111121120000010012200000
42010213213213022320
54313113021204443
6145230024313000
713200525160410
oct2044747471270
9447500105600
10142398616248
1155433341019
1223721012760
13105747b4b55
146c6c00b640
153a865c28d3
hex21279e72b8

142398616248 has 384 divisors, whose sum is σ = 479417702400. Its totient is φ = 38736423936.

The previous prime is 142398616169. The next prime is 142398616253. The reversal of 142398616248 is 842616893241.

142398616248 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 9 + 8 + 6 + 1 + 624 + 8 = 666.

142398616248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 142398616194 and 142398616203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28805665 + ... + 28810607.

It is an arithmetic number, because the mean of its divisors is an integer number (1248483600).

Almost surely, 2142398616248 is an apocalyptic number.

142398616248 is a gapful number since it is divisible by the number (18) 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 142398616248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239708851200).

142398616248 is an abundant number, since it is smaller than the sum of its proper divisors (337019086152).

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

142398616248 is a wasteful number, since it uses less digits than its factorization.

142398616248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5073 (or 5057 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 142398616248 in words is "one hundred forty-two billion, three hundred ninety-eight million, six hundred sixteen thousand, two hundred forty-eight".