Base | Representation |
---|---|
bin | 110111001100011011110000… |
… | …100011001100000000000000 |
3 | 1011211111101102121210011111100 |
4 | 313030123300203030000000 |
5 | 223304131322313010420 |
6 | 2220140233041214400 |
7 | 102062614614056550 |
oct | 6714336043140000 |
9 | 1154441377704440 |
10 | 242746997391360 |
11 | 7038a472698600 |
12 | 23285bb2331400 |
13 | a55ac3620b947 |
14 | 43d30358dd160 |
15 | 1d0e616cc9190 |
hex | dcc6f08cc000 |
242746997391360 has 4320 divisors, whose sum is σ = 1142147522880000. Its totient is φ = 46527204556800.
The previous prime is 242746997391331. The next prime is 242746997391421. The reversal of 242746997391360 is 63193799647242.
242746997391360 is a `hidden beast` number, since 2 + 4 + 2 + 7 + 469 + 9 + 73 + 91 + 3 + 6 + 0 = 666.
It is a super-2 number, since 2×2427469973913602 (a number of 30 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is an unprimeable number.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 486466928391 + ... + 486466928889.
Almost surely, 2242746997391360 is an apocalyptic number.
242746997391360 is a gapful number since it is divisible by the number (20) 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 242746997391360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571073761440000).
242746997391360 is an abundant number, since it is smaller than the sum of its proper divisors (899400525488640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
242746997391360 is a wasteful number, since it uses less digits than its factorization.
242746997391360 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 627 (or 587 counting only the distinct ones).
The product of its (nonzero) digits is 740710656, while the sum is 72.
The spelling of 242746997391360 in words is "two hundred forty-two trillion, seven hundred forty-six billion, nine hundred ninety-seven million, three hundred ninety-one thousand, three hundred sixty".
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