| Base | Representation |
|---|---|
| bin | 1110110010101001… |
| … | …0011010100010000 |
| 3 | 101020201012220201100 |
| 4 | 3230222103110100 |
| 5 | 31112422342034 |
| 6 | 1453553504400 |
| 7 | 200251540104 |
| oct | 35452232420 |
| 9 | 11221186640 |
| 10 | 3970512144 |
| 11 | 17582835a5 |
| 12 | 929872100 |
| 13 | 4b3798891 |
| 14 | 299479904 |
| 15 | 18389d099 |
| hex | eca93510 |
3970512144 has 135 divisors (see below), whose sum is σ = 11431881253. Its totient is φ = 1286452992.
The previous prime is 3970512109. The next prime is 3970512167. The reversal of 3970512144 is 4412150793.
The square root of 3970512144 is 63012.
It is a perfect power (a square), and thus also a powerful number.
3970512144 is a `hidden beast` number, since 39 + 70 + 512 + 1 + 44 = 666.
It can be written as a sum of positive squares in only one way, i.e., 762422544 + 3208089600 = 27612^2 + 56640^2 .
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 3970512099 and 3970512108.
It is an unprimeable number.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44612452 + ... + 44612540.
Almost surely, 23970512144 is an apocalyptic number.
3970512144 is the 63012-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3970512144
3970512144 is an abundant number, since it is smaller than the sum of its proper divisors (7461369109).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3970512144 is an equidigital number, since it uses as much as digits as its factorization.
3970512144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 310 (or 153 counting only the distinct ones).
The product of its (nonzero) digits is 30240, while the sum is 36.
The cubic root of 3970512144 is about 1583.4906726401.
Multiplying 3970512144 by its sum of digits (36), we get a square (142938437184 = 3780722).
3970512144 divided by its sum of digits (36) gives a square (110292004 = 105022).
The spelling of 3970512144 in words is "three billion, nine hundred seventy million, five hundred twelve thousand, one hundred forty-four".
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