Search a number
-
+
142575323904 = 283713191031
BaseRepresentation
bin1000010011001000100…
…1101100101100000000
3111122000022121220000000
42010302021230230000
54313443240331104
6145255340000000
713205102154156
oct2046211545400
9448008556000
10142575323904
1155514065102
1223770230000
13105a22a52b0
146c876893d6
153a96d7a639
hex213226cb00

142575323904 has 576 divisors, whose sum is σ = 484320076800. Its totient is φ = 41520107520.

The previous prime is 142575323861. The next prime is 142575323939. The reversal of 142575323904 is 409323575241.

It is a happy number.

142575323904 is a `hidden beast` number, since 1 + 4 + 25 + 7 + 532 + 3 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 142575323904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138287869 + ... + 138288899.

Almost surely, 2142575323904 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 142575323904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242160038400).

142575323904 is an abundant number, since it is smaller than the sum of its proper divisors (341744752896).

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

142575323904 is an equidigital number, since it uses as much as digits as its factorization.

142575323904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 142575323904 in words is "one hundred forty-two billion, five hundred seventy-five million, three hundred twenty-three thousand, nine hundred four".