Base | Representation |
---|---|
bin | 1000101100111010001… |
… | …0101010010111000000 |
3 | 112021212111111011102100 |
4 | 2023032202222113000 |
5 | 4422130441042320 |
6 | 152402052550400 |
7 | 13541413502430 |
oct | 2131642522700 |
9 | 467774434370 |
10 | 149494080960 |
11 | 58444569744 |
12 | 24b81322400 |
13 | 11135804193 |
14 | 73424d82c0 |
15 | 3d4e497790 |
hex | 22ce8aa5c0 |
149494080960 has 336 divisors, whose sum is σ = 588297528000. Its totient is φ = 34132672512.
The previous prime is 149494080959. The next prime is 149494081039. The reversal of 149494080960 is 69080494941.
It is a happy number.
149494080960 is a `hidden beast` number, since 1 + 494 + 94 + 0 + 8 + 0 + 9 + 60 = 666.
It is a tau number, because it is divible by the number of its divisors (336).
It is a junction number, because it is equal to n+sod(n) for n = 149494080897 and 149494080906.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21144306 + ... + 21151374.
It is an arithmetic number, because the mean of its divisors is an integer number (1750885500).
Almost surely, 2149494080960 is an apocalyptic number.
149494080960 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 149494080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294148764000).
149494080960 is an abundant number, since it is smaller than the sum of its proper divisors (438803447040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
149494080960 is a wasteful number, since it uses less digits than its factorization.
149494080960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8148 (or 8135 counting only the distinct ones).
The product of its (nonzero) digits is 2239488, while the sum is 54.
The spelling of 149494080960 in words is "one hundred forty-nine billion, four hundred ninety-four million, eighty thousand, nine hundred sixty".
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