Base | Representation |
---|---|
bin | 101101000011000001101000… |
… | …0110000011010111111000000 |
3 | 1220221222011201020201112200000 |
4 | 1122012003100300122333000 |
5 | 403413444012313323034 |
6 | 3522422051225400000 |
7 | 146314252466401500 |
oct | 13206032060327700 |
9 | 1827864636645600 |
10 | 396240005214144 |
11 | 105288495a95783 |
12 | 38535b74039000 |
13 | 1401336cc2b140 |
14 | 6dbc193553a00 |
15 | 30c21a27ae599 |
hex | 16860d0c1afc0 |
396240005214144 has 2016 divisors, whose sum is σ = 1604548772648640. Its totient is φ = 95695866298368.
The previous prime is 396240005214143. The next prime is 396240005214191. The reversal of 396240005214144 is 441412500042693.
396240005214144 is a `hidden beast` number, since 3 + 9 + 6 + 2 + 40 + 0 + 0 + 521 + 41 + 44 = 666.
It is a tau number, because it is divible by the number of its divisors (2016).
It is a super-2 number, since 2×3962400052141442 (a number of 30 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 396240005214144.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (396240005214143) by changing a digit.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6231234702 + ... + 6231298290.
It is an arithmetic number, because the mean of its divisors is an integer number (795907129290).
Almost surely, 2396240005214144 is an apocalyptic number.
396240005214144 is a gapful number since it is divisible by the number (34) 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 396240005214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802274386324320).
396240005214144 is an abundant number, since it is smaller than the sum of its proper divisors (1208308767434496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
396240005214144 is a wasteful number, since it uses less digits than its factorization.
396240005214144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 63697 (or 63668 counting only the distinct ones).
The product of its (nonzero) digits is 829440, while the sum is 45.
The spelling of 396240005214144 in words is "three hundred ninety-six trillion, two hundred forty billion, five million, two hundred fourteen thousand, one hundred forty-four".
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