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142340950080 = 2634572321483
BaseRepresentation
bin1000010010010000101…
…1101000100001000000
3111121101222121110120000
42010210023220201000
54313003240400310
6145220204320000
713166225053440
oct2044413504100
9447358543500
10142340950080
115540383462a
1223705843000
1310565874264
146c644ba120
153a814d14c0
hex21242e8840

142340950080 has 840 divisors, whose sum is σ = 605326045632. Its totient is φ = 31099521024.

The previous prime is 142340950061. The next prime is 142340950093. The reversal of 142340950080 is 80059043241.

142340950080 is a `hidden beast` number, since 1 + 42 + 34 + 0 + 9 + 500 + 80 = 666.

142340950080 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 95981019 + ... + 95982501.

Almost surely, 2142340950080 is an apocalyptic number.

142340950080 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 142340950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302663022816).

142340950080 is an abundant number, since it is smaller than the sum of its proper divisors (462985095552).

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

142340950080 is a wasteful number, since it uses less digits than its factorization.

142340950080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 142340950080 in words is "one hundred forty-two billion, three hundred forty million, nine hundred fifty thousand, eighty".