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142296321024 = 2103611133143
BaseRepresentation
bin1000010010000110000…
…1011000110000000000
3111121021212122002000000
42010201201120300000
54312410324233044
6145211532000000
713165143525534
oct2044141306000
9447255562000
10142296321024
1155390622110
12236b2900000
1310559549730
146c5c5bdbc4
153a7c617d69
hex2121858c00

142296321024 has 1232 divisors, whose sum is σ = 529236685824. Its totient is φ = 37623398400.

The previous prime is 142296321019. The next prime is 142296321073. The reversal of 142296321024 is 420123692241.

It is a happy number.

142296321024 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 9 + 632 + 10 + 2 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 142296321024.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3309216747 + ... + 3309216789.

It is an arithmetic number, because the mean of its divisors is an integer number (429575232).

Almost surely, 2142296321024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142296321024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264618342912).

142296321024 is an abundant number, since it is smaller than the sum of its proper divisors (386940364800).

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

142296321024 is a wasteful number, since it uses less digits than its factorization.

142296321024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 142296321024 in words is "one hundred forty-two billion, two hundred ninety-six million, three hundred twenty-one thousand, twenty-four".