| Base | Representation |
|---|---|
| bin | 1000100000011010000… |
| … | …1001000111101001000 |
| 3 | 111222012121212201101200 |
| 4 | 2020012201020331020 |
| 5 | 4343242342120132 |
| 6 | 151045053344200 |
| 7 | 13362304351140 |
| oct | 2100641107510 |
| 9 | 458177781350 |
| 10 | 146138238792 |
| 11 | 56a82253867 |
| 12 | 243a5498060 |
| 13 | 10a1c49c560 |
| 14 | 7104943920 |
| 15 | 3c04a63d7c |
| hex | 2206848f48 |
146138238792 has 384 divisors, whose sum is σ = 492956755200. Its totient is φ = 38084069376.
The previous prime is 146138238749. The next prime is 146138238817. The reversal of 146138238792 is 297832831641.
It is a happy number.
146138238792 is a `hidden beast` number, since 1 + 46 + 138 + 2 + 387 + 92 = 666.
It is a super-2 number, since 2×1461382387922 (a number of 23 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.
It is a nude number because it is divisible by every one of its digits.
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 95 ways as a sum of consecutive naturals, for example, 259570303 + ... + 259570865.
It is an arithmetic number, because the mean of its divisors is an integer number (1283741550).
Almost surely, 2146138238792 is an apocalyptic number.
146138238792 is a gapful number since it is divisible by the number (12) 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 146138238792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246478377600).
146138238792 is an abundant number, since it is smaller than the sum of its proper divisors (346818516408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146138238792 is a wasteful number, since it uses less digits than its factorization.
146138238792 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 997 (or 990 counting only the distinct ones).
The product of its digits is 3483648, while the sum is 54.
The spelling of 146138238792 in words is "one hundred forty-six billion, one hundred thirty-eight million, two hundred thirty-eight thousand, seven hundred ninety-two".
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