| Base | Representation |
|---|---|
| bin | 10000100011111100100… |
| … | …000101110000000000000 |
| 3 | 11000210122200121200000000 |
| 4 | 100203330200232000000 |
| 5 | 122121321044122400 |
| 6 | 2230501200000000 |
| 7 | 145140241460640 |
| oct | 20437440560000 |
| 9 | 4023580550000 |
| 10 | 1138107801600 |
| 11 | 3a973a202400 |
| 12 | 1646a6000000 |
| 13 | 83427b28cc3 |
| 14 | 3d12863c520 |
| 15 | 1e9112bb600 |
| hex | 108fc82e000 |
1138107801600 has 2268 divisors, whose sum is σ = 5317848797352. Its totient is φ = 236489932800.
The previous prime is 1138107801569. The next prime is 1138107801617. The reversal of 1138107801600 is 61087018311.
It is a happy number.
1138107801600 is a `hidden beast` number, since 1 + 1 + 38 + 10 + 7 + 8 + 0 + 1 + 600 = 666.
It is a tau number, because it is divible by the number of its divisors (2268).
It is a super-3 number, since 3×11381078016003 (a number of 37 digits) contains 333 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 (13) of ones.
It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 103464345595 + ... + 103464345605.
Almost surely, 21138107801600 is an apocalyptic number.
1138107801600 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 1138107801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658924398676).
1138107801600 is an abundant number, since it is smaller than the sum of its proper divisors (4179740995752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1138107801600 is an frugal number, since it uses more digits than its factorization.
1138107801600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 89 (or 28 counting only the distinct ones).
The product of its (nonzero) digits is 8064, while the sum is 36.
1138107801600 divided by its product of nonzero digits (8064) gives a square (141134400 = 118802).
The spelling of 1138107801600 in words is "one trillion, one hundred thirty-eight billion, one hundred seven million, eight hundred one thousand, six hundred".
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