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142474235904 = 212357112132
BaseRepresentation
bin1000010010110000100…
…0000101000000000000
3111121202021102002100000
42010230020011000000
54313241401022104
6145241325200000
713202434011030
oct2045410050000
9447667362300
10142474235904
1155471aa0200
1223742400000
1310587370500
146c780938c0
153a8d05d639
hex212c205000

142474235904 has 1404 divisors, whose sum is σ = 580538501088. Its totient is φ = 34159656960.

The previous prime is 142474235881. The next prime is 142474235929. The reversal of 142474235904 is 409532474241.

142474235904 is a `hidden beast` number, since 14 + 2 + 4 + 7 + 42 + 3 + 590 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1404).

It is a self number, because there is not a number n which added to its sum of digits gives 142474235904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 10959556602 + ... + 10959556614.

Almost surely, 2142474235904 is an apocalyptic number.

142474235904 is a gapful number since it is divisible by the number (14) 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 142474235904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290269250544).

142474235904 is an abundant number, since it is smaller than the sum of its proper divisors (438064265184).

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

142474235904 is an equidigital number, since it uses as much as digits as its factorization.

142474235904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 142474235904 in words is "one hundred forty-two billion, four hundred seventy-four million, two hundred thirty-five thousand, nine hundred four".