| Base | Representation |
|---|---|
| bin | 100000110000001110001111… |
| … | …011110000110101100000000 |
| 3 | 200220001011121211111011220200 |
| 4 | 200300032033132012230000 |
| 5 | 122340114043141033034 |
| 6 | 1230212132143205200 |
| 7 | 42225235610055000 |
| oct | 4060161736065400 |
| 9 | 626034554434820 |
| 10 | 144051315174144 |
| 11 | 41998902007744 |
| 12 | 141a6139ba6800 |
| 13 | 624bc998977b1 |
| 14 | 27801998ac000 |
| 15 | 119c18a527a99 |
| hex | 83038f786b00 |
144051315174144 has 864 divisors, whose sum is σ = 493188224256000. Its totient is φ = 40408820121600.
The previous prime is 144051315174139. The next prime is 144051315174163. The reversal of 144051315174144 is 441471513150441.
It is a happy number.
144051315174144 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 51 + 3 + 1 + 517 + 41 + 44 = 666.
It is a super-2 number, since 2×1440513151741442 (a number of 29 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 144051315174144.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51428529544 + ... + 51428532344.
It is an arithmetic number, because the mean of its divisors is an integer number (570819704000).
Almost surely, 2144051315174144 is an apocalyptic number.
144051315174144 is a gapful number since it is divisible by the number (14) 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 144051315174144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246594112128000).
144051315174144 is an abundant number, since it is smaller than the sum of its proper divisors (349136909081856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144051315174144 is a wasteful number, since it uses less digits than its factorization.
144051315174144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4006 (or 3975 counting only the distinct ones).
The product of its (nonzero) digits is 537600, while the sum is 45.
The spelling of 144051315174144 in words is "one hundred forty-four trillion, fifty-one billion, three hundred fifteen million, one hundred seventy-four thousand, one hundred forty-four".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.084 sec. • engine limits •