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142001222400 = 2832522465299
BaseRepresentation
bin1000010000111111101…
…1101011001100000000
3111120112022100111210100
42010033323223030000
54311304303104100
6145122351002400
713154631321642
oct2041773531400
9446468314710
10142001222400
1155249a96154
122362bb09400
131051037686b
146c31324892
153a61776400
hex210feeb300

142001222400 has 162 divisors, whose sum is σ = 507686624900. Its totient is φ = 37866977280.

The previous prime is 142001222399. The next prime is 142001222437. The reversal of 142001222400 is 4222100241.

142001222400 is a `hidden beast` number, since 1 + 42 + 0 + 0 + 1 + 222 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 17 ways as a sum of consecutive naturals, for example, 1175050 + ... + 1290249.

Almost surely, 2142001222400 is an apocalyptic number.

142001222400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142001222400 is an abundant number, since it is smaller than the sum of its proper divisors (365685402500).

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

142001222400 is a wasteful number, since it uses less digits than its factorization.

142001222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465331 (or 2465309 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 142001222400 its reverse (4222100241), we get a palindrome (146223322641).

The spelling of 142001222400 in words is "one hundred forty-two billion, one million, two hundred twenty-two thousand, four hundred".