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142213929000 = 233531113331501
BaseRepresentation
bin1000010001110010011…
…1000101100000101000
3111121002010121010101120
42010130213011200220
54312223231212000
6145155430015240
713163123310543
oct2043447054050
9447063533346
10142213929000
1155349067830
122368b1a7520
131054545c660
146c5169385a
153a752906a0
hex211c9c5828

142213929000 has 256 divisors, whose sum is σ = 521280264960. Its totient is φ = 31824000000.

The previous prime is 142213928981. The next prime is 142213929037. The reversal of 142213929000 is 929312241.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 263250 + ... + 594750.

It is an arithmetic number, because the mean of its divisors is an integer number (2036251035).

Almost surely, 2142213929000 is an apocalyptic number.

142213929000 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 142213929000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260640132480).

142213929000 is an abundant number, since it is smaller than the sum of its proper divisors (379066335960).

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

142213929000 is a wasteful number, since it uses less digits than its factorization.

142213929000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331549 (or 331535 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 142213929000 in words is "one hundred forty-two billion, two hundred thirteen million, nine hundred twenty-nine thousand".