Base | Representation |
---|---|
bin | 10010001010011110111001… |
… | …00111100011000100000000 |
3 | 12020102110211121220201010000 |
4 | 21011033130213203010000 |
5 | 20213404422133142011 |
6 | 220541213403040000 |
7 | 11261520630120222 |
oct | 1105173447430400 |
9 | 166373747821100 |
10 | 39942602240256 |
11 | 117aa6207326a1 |
12 | 4591188810000 |
13 | 1939756cb6111 |
14 | 9c133748c412 |
15 | 493eeab8d356 |
hex | 2453dc9e3100 |
39942602240256 has 135 divisors (see below), whose sum is σ = 119104326374341. Its totient is φ = 13313897385984.
The previous prime is 39942602240171. The next prime is 39942602240263. The reversal of 39942602240256 is 65204220624993.
The square root of 39942602240256 is 6320016.
It is a perfect power (a square), and thus also a powerful number.
39942602240256 is a `hidden beast` number, since 3 + 9 + 9 + 4 + 2 + 602 + 2 + 4 + 0 + 25 + 6 = 666.
It can be written as a sum of positive squares in only one way, i.e., 37699796480256 + 2242805760000 = 6140016^2 + 1497600^2 .
It is a super-2 number, since 2×399426022402562 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a Duffinian number.
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 14 ways as a sum of consecutive naturals, for example, 910060360 + ... + 910104248.
Almost surely, 239942602240256 is an apocalyptic number.
39942602240256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.
39942602240256 is the 6320016-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 39942602240256
39942602240256 is an abundant number, since it is smaller than the sum of its proper divisors (79161724134085).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
39942602240256 is an frugal number, since it uses more digits than its factorization.
39942602240256 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 87806 (or 43894 counting only the distinct ones).
The product of its (nonzero) digits is 11197440, while the sum is 54.
The spelling of 39942602240256 in words is "thirty-nine trillion, nine hundred forty-two billion, six hundred two million, two hundred forty thousand, two hundred fifty-six".
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