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14190655104 = 2732471491759
BaseRepresentation
bin11010011011101010…
…00011011010000000
31100121222012222012200
431031311003122000
5213030301430404
610304042553200
71011441402213
oct151565033200
940558188180
1014190655104
11602228923a
122900508800
131451c73852
1498894577a
15580c43839
hex34dd43680

14190655104 has 192 divisors, whose sum is σ = 42007680000. Its totient is φ = 4595890176.

The previous prime is 14190655091. The next prime is 14190655121. The reversal of 14190655104 is 40155609141.

14190655104 is a `hidden beast` number, since 14 + 1 + 90 + 6 + 551 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8066577 + ... + 8068335.

It is an arithmetic number, because the mean of its divisors is an integer number (218790000).

Almost surely, 214190655104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14190655104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21003840000).

14190655104 is an abundant number, since it is smaller than the sum of its proper divisors (27817024896).

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

14190655104 is a wasteful number, since it uses less digits than its factorization.

14190655104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 14190655104 in words is "fourteen billion, one hundred ninety million, six hundred fifty-five thousand, one hundred four".