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142466052000 = 253531743109149
BaseRepresentation
bin1000010010101110100…
…0110110111110100000
3111121201201000022010110
42010223220312332200
54313232302131000
6145240433531320
713202304314166
oct2045350667640
9447651008113
10142466052000
1155468410548
122373b713b40
131058576646c
146c76d63236
153a8c493850
hex212ba36fa0

142466052000 has 768 divisors, whose sum is σ = 513729216000. Its totient is φ = 34371993600.

The previous prime is 142466051993. The next prime is 142466052041. The reversal of 142466052000 is 250664241.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 956147926 + ... + 956148074.

It is an arithmetic number, because the mean of its divisors is an integer number (668918250).

Almost surely, 2142466052000 is an apocalyptic number.

142466052000 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 142466052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256864608000).

142466052000 is an abundant number, since it is smaller than the sum of its proper divisors (371263164000).

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

142466052000 is a wasteful number, since it uses less digits than its factorization.

142466052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 142466052000 in words is "one hundred forty-two billion, four hundred sixty-six million, fifty-two thousand".