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104230361088000 = 214335371132383
BaseRepresentation
bin10111101100110000000101…
…101001011100000000000000
3111200001022210002000222201000
4113230300011221130000000
5102130202234414304000
61005402433350212000
730645252341116050
oct2754600551340000
9450038702028630
10104230361088000
1130235936610804
12b834661054000
134620b5b391974
141ba4ac25d3560
15c0b40e3a2000
hex5ecc05a5c000

104230361088000 has 1920 divisors, whose sum is σ = 444551786864640. Its totient is φ = 23603340902400.

The previous prime is 104230361087987. The next prime is 104230361088047. The reversal of 104230361088000 is 880163032401.

104230361088000 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 30 + 3 + 610 + 8 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 43739134809 + ... + 43739137191.

It is an arithmetic number, because the mean of its divisors is an integer number (231537388992).

Almost surely, 2104230361088000 is an apocalyptic number.

104230361088000 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 104230361088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222275893432320).

104230361088000 is an abundant number, since it is smaller than the sum of its proper divisors (340321425776640).

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

104230361088000 is an equidigital number, since it uses as much as digits as its factorization.

104230361088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 104230361088000 in words is "one hundred four trillion, two hundred thirty billion, three hundred sixty-one million, eighty-eight thousand".