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142320650234400 = 253252118920190763
BaseRepresentation
bin100000010111000010011011…
…110011010010101000100000
3200122220201110211002000110200
4200113002123303102220200
5122123240142430000100
61222405112031225200
741656220246564511
oct4027023363225040
9618821424060420
10142320650234400
1141390937847050
1213b66841978200
136154a1a0b4b81
1427204db6a6a08
15116c147a35e00
hex81709bcd2a20

142320650234400 has 432 divisors, whose sum is σ = 553633171771680. Its totient is φ = 34114311475200.

The previous prime is 142320650234387. The next prime is 142320650234453. The reversal of 142320650234400 is 4432056023241.

142320650234400 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 206 + 5 + 0 + 2 + 3 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3046582 + ... + 17144181.

It is an arithmetic number, because the mean of its divisors is an integer number (1281558267990).

Almost surely, 2142320650234400 is an apocalyptic number.

142320650234400 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 142320650234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276816585885840).

142320650234400 is an abundant number, since it is smaller than the sum of its proper divisors (411312521537280).

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

142320650234400 is a wasteful number, since it uses less digits than its factorization.

142320650234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20190889 (or 20190873 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 142320650234400 in words is "one hundred forty-two trillion, three hundred twenty billion, six hundred fifty million, two hundred thirty-four thousand, four hundred".