| Base | Representation |
|---|---|
| bin | 100000110010001101101001… |
| … | …111111101101011100010000 |
| 3 | 200220112020202101001220010000 |
| 4 | 200302031221333231130100 |
| 5 | 122344334240100343041 |
| 6 | 1230355035501210000 |
| 7 | 42241151106605451 |
| oct | 4062155177553420 |
| 9 | 626466671056100 |
| 10 | 144188125402896 |
| 11 | 41a409278a44a3 |
| 12 | 1420875b560900 |
| 13 | 625bb6065c983 |
| 14 | 2786a57615128 |
| 15 | 11a09e61bbbb6 |
| hex | 832369fed710 |
144188125402896 has 225 divisors, whose sum is σ = 427308224672901. Its totient is φ = 46938919112064.
The previous prime is 144188125402891. The next prime is 144188125402921. The reversal of 144188125402896 is 698204521881441.
The square root of 144188125402896 is 12007836.
It is a perfect power (a square), and thus also a powerful number.
144188125402896 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 8 + 8 + 1 + 2 + 540 + 2 + 89 + 6 = 666.
144188125402896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 118596020432400 + 25592104970496 = 10890180^2 + 5058864^2 .
It is not an unprimeable number, because it can be changed into a prime (144188125402891) by changing a digit.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 18588126250 + ... + 18588134006.
Almost surely, 2144188125402896 is an apocalyptic number.
144188125402896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
144188125402896 is the 12007836-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 144188125402896
144188125402896 is an abundant number, since it is smaller than the sum of its proper divisors (283120099270005).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144188125402896 is an frugal number, since it uses more digits than its factorization.
144188125402896 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15620 (or 7805 counting only the distinct ones).
The product of its (nonzero) digits is 35389440, while the sum is 63.
The spelling of 144188125402896 in words is "one hundred forty-four trillion, one hundred eighty-eight billion, one hundred twenty-five million, four hundred two thousand, eight hundred ninety-six".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.093 sec. • engine limits •