| Base | Representation |
|---|---|
| bin | 11000001000100101110000… |
| … | …011011110100010100000000 |
| 3 | 111220211012200221221202011000 |
| 4 | 120020211300123310110000 |
| 5 | 102403023202230021100 |
| 6 | 1013425335534452000 |
| 7 | 31233415504130526 |
| oct | 3010456033642400 |
| 9 | 456735627852130 |
| 10 | 106143413126400 |
| 11 | 30903194614091 |
| 12 | baa337a364000 |
| 13 | 472c386208440 |
| 14 | 1c2d523656316 |
| 15 | c41078e25900 |
| hex | 6089706f4500 |
106143413126400 has 1728 divisors, whose sum is σ = 425610209203200. Its totient is φ = 25728392724480.
The previous prime is 106143413126363. The next prime is 106143413126417. The reversal of 106143413126400 is 4621314341601.
106143413126400 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 4 + 3 + 4 + 1 + 3 + 1 + 2 + 640 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1728).
It is a super-2 number, since 2×1061434131264002 (a number of 29 digits) contains 22 as substring.
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 191 ways as a sum of consecutive naturals, for example, 43025297967 + ... + 43025300433.
It is an arithmetic number, because the mean of its divisors is an integer number (246302204400).
Almost surely, 2106143413126400 is an apocalyptic number.
106143413126400 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 106143413126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212805104601600).
106143413126400 is an abundant number, since it is smaller than the sum of its proper divisors (319466796076800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106143413126400 is a wasteful number, since it uses less digits than its factorization.
106143413126400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2801 (or 2776 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The spelling of 106143413126400 in words is "one hundred six trillion, one hundred forty-three billion, four hundred thirteen million, one hundred twenty-six thousand, four hundred".
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