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142430055465600 = 273252717231806901
BaseRepresentation
bin100000011000101000010100…
…110111001000001010000000
3200200022011212110022121102200
4200120220110313020022000
5122132033223144344400
61222531244133113200
742000142356654240
oct4030502467101200
9620264773277380
10142430055465600
114142327a1915a1
1213b83a95488800
1361621342c8276
1427259198a5b20
15116edec7e5b00
hex818a14dc8280

142430055465600 has 1152 divisors, whose sum is σ = 641731797607680. Its totient is φ = 29308207104000.

The previous prime is 142430055465571. The next prime is 142430055465613. The reversal of 142430055465600 is 6564550034241.

142430055465600 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 30 + 0 + 5 + 5 + 4 + 6 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 77922150 + ... + 79729050.

It is an arithmetic number, because the mean of its divisors is an integer number (557058852090).

Almost surely, 2142430055465600 is an apocalyptic number.

142430055465600 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 142430055465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320865898803840).

142430055465600 is an abundant number, since it is smaller than the sum of its proper divisors (499301742142080).

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

142430055465600 is a wasteful number, since it uses less digits than its factorization.

142430055465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806978 (or 1806958 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 142430055465600 in words is "one hundred forty-two trillion, four hundred thirty billion, fifty-five million, four hundred sixty-five thousand, six hundred".