| Base | Representation |
|---|---|
| bin | 11000110100010000111111… |
| … | …011000101001100000000000 |
| 3 | 112022110010201211211211121000 |
| 4 | 120310100333120221200000 |
| 5 | 103301211443210231000 |
| 6 | 1024044225523132000 |
| 7 | 31663310130455520 |
| oct | 3064207730514000 |
| 9 | 468403654754530 |
| 10 | 109144772352000 |
| 11 | 3186004665a100 |
| 12 | 102a8ba3514000 |
| 13 | 48b940050b938 |
| 14 | 1cd48c6c89680 |
| 15 | c9418cb58000 |
| hex | 63443f629800 |
109144772352000 has 4608 divisors, whose sum is σ = 514617855897600. Its totient is φ = 22335160320000.
The previous prime is 109144772351969. The next prime is 109144772352017. The reversal of 109144772352000 is 253277441901.
109144772352000 is a `hidden beast` number, since 1 + 0 + 9 + 14 + 47 + 72 + 3 + 520 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (4608).
It is a super-3 number, since 3×1091447723520003 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 603009791910 + ... + 603009792090.
It is an arithmetic number, because the mean of its divisors is an integer number (111679222200).
Almost surely, 2109144772352000 is an apocalyptic number.
109144772352000 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 109144772352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257308927948800).
109144772352000 is an abundant number, since it is smaller than the sum of its proper divisors (405473083545600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
109144772352000 is a wasteful number, since it uses less digits than its factorization.
109144772352000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 359 (or 312 counting only the distinct ones).
The product of its (nonzero) digits is 423360, while the sum is 45.
The spelling of 109144772352000 in words is "one hundred nine trillion, one hundred forty-four billion, seven hundred seventy-two million, three hundred fifty-two thousand".
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