| Base | Representation |
|---|---|
| bin | 1010110110111010… |
| … | …1101101100010000 |
| 3 | 21112010112022102100 |
| 4 | 2231232231230100 |
| 5 | 21432131013034 |
| 6 | 1201120120400 |
| 7 | 132141401502 |
| oct | 25556555420 |
| 9 | 7463468370 |
| 10 | 2914704144 |
| 11 | 1266302400 |
| 12 | 694166100 |
| 13 | 375b1b811 |
| 14 | 1d9161d72 |
| 15 | 120d46099 |
| hex | adbadb10 |
2914704144 has 135 divisors (see below), whose sum is σ = 8988069909. Its totient is φ = 881084160.
The previous prime is 2914704137. The next prime is 2914704167. The reversal of 2914704144 is 4414074192.
The square root of 2914704144 is 53988.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 2663798544 + 250905600 = 51612^2 + 15840^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 2914704099 and 2914704108.
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 26 ways as a sum of consecutive naturals, for example, 7126212 + ... + 7126620.
Almost surely, 22914704144 is an apocalyptic number.
2914704144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
2914704144 is the 53988-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2914704144
2914704144 is an abundant number, since it is smaller than the sum of its proper divisors (6073365765).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2914704144 is a wasteful number, since it uses less digits than its factorization.
2914704144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 854 (or 425 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The cubic root of 2914704144 is about 1428.4492854580.
Multiplying 2914704144 by its sum of digits (36), we get a square (104929349184 = 3239282).
2914704144 divided by its sum of digits (36) gives a square (80964004 = 89982).
The spelling of 2914704144 in words is "two billion, nine hundred fourteen million, seven hundred four thousand, one hundred forty-four".
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