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109128445413120 = 2833572416723459
BaseRepresentation
bin11000110100000001110010…
…001110010100011100000000
3112022101120120222211101222000
4120310001302032110130000
5103300430024011204440
61024032525444144000
731662161415666600
oct3064016216243400
9468346528741860
10109128445413120
1131854128510291
12102a59a7698000
1348b79caab5063
141cd3bb8730c00
15c93a345d1730
hex634072394700

109128445413120 has 1728 divisors, whose sum is σ = 468374463244800. Its totient is φ = 23971028336640.

The previous prime is 109128445413077. The next prime is 109128445413137. The reversal of 109128445413120 is 21314544821901.

It is a happy number.

109128445413120 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 2 + 84 + 4 + 541 + 3 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

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 191 ways as a sum of consecutive naturals, for example, 4651867951 + ... + 4651891409.

It is an arithmetic number, because the mean of its divisors is an integer number (271050036600).

Almost surely, 2109128445413120 is an apocalyptic number.

109128445413120 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 109128445413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234187231622400).

109128445413120 is an abundant number, since it is smaller than the sum of its proper divisors (359246017831680).

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

109128445413120 is a wasteful number, since it uses less digits than its factorization.

109128445413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23611 (or 23584 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 109128445413120 in words is "one hundred nine trillion, one hundred twenty-eight billion, four hundred forty-five million, four hundred thirteen thousand, one hundred twenty".