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142453396800 = 2632521121319331
BaseRepresentation
bin1000010010101011100…
…0100101010101000000
3111121200211012100110100
42010222320211111000
54313221032144200
6145235302402400
713202061615441
oct2045270452500
9447624170410
10142453396800
1155461257500
1223737430400
1310582c55190
146c753cb2c8
153a8b2e3d00
hex212ae25540

142453396800 has 1512 divisors, whose sum is σ = 632785506080. Its totient is φ = 30108672000.

The previous prime is 142453396793. The next prime is 142453396801. The reversal of 142453396800 is 8693354241.

142453396800 is a `hidden beast` number, since 1 + 4 + 24 + 533 + 96 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142453396801) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 430372635 + ... + 430372965.

Almost surely, 2142453396800 is an apocalyptic number.

142453396800 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 142453396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316392753040).

142453396800 is an abundant number, since it is smaller than the sum of its proper divisors (490332109280).

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

142453396800 is a wasteful number, since it uses less digits than its factorization.

142453396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 142453396800 in words is "one hundred forty-two billion, four hundred fifty-three million, three hundred ninety-six thousand, eight hundred".