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142119774720 = 293657112343
BaseRepresentation
bin1000010001011011111…
…1111010101000000000
3111120211120102121000000
42010112333322220000
54312030130242340
6145142224000000
713160601103350
oct2042677725000
9446746377000
10142119774720
11552aa9a9280
1223663760000
131052bab4871
146c42d84b60
153a6bd92d30
hex2116ffaa00

142119774720 has 2240 divisors, whose sum is σ = 680114755584. Its totient is φ = 27590492160.

The previous prime is 142119774707. The next prime is 142119774737. The reversal of 142119774720 is 27477911241.

142119774720 is a `hidden beast` number, since 1 + 421 + 1 + 97 + 74 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3305111019 + ... + 3305111061.

Almost surely, 2142119774720 is an apocalyptic number.

142119774720 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 142119774720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340057377792).

142119774720 is an abundant number, since it is smaller than the sum of its proper divisors (537994980864).

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

142119774720 is an equidigital number, since it uses as much as digits as its factorization.

142119774720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 142119774720 in words is "one hundred forty-two billion, one hundred nineteen million, seven hundred seventy-four thousand, seven hundred twenty".