Base | Representation |
---|---|
bin | 1110000001101011010… |
… | …0101000101101110110 |
3 | 212000222111010120200000 |
4 | 3200122310220231312 |
5 | 12422000323040304 |
6 | 302411012132130 |
7 | 23260262454600 |
oct | 3403264505566 |
9 | 760874116600 |
10 | 240968174454 |
11 | 93215286017 |
12 | 3a84b907046 |
13 | 19952b47a17 |
14 | b93d0b4170 |
15 | 6404e52939 |
hex | 381ad28b76 |
240968174454 has 108 divisors (see below), whose sum is σ = 630030220092. Its totient is φ = 68826406320.
The previous prime is 240968174441. The next prime is 240968174477. The reversal of 240968174454 is 454471869042.
240968174454 is a `hidden beast` number, since 2 + 40 + 9 + 6 + 81 + 74 + 454 = 666.
240968174454 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2409681744542 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a Curzon number.
It is a self number, because there is not a number n which added to its sum of digits gives 240968174454.
It is a congruent 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 53 ways as a sum of consecutive naturals, for example, 75750744 + ... + 75753924.
It is an arithmetic number, because the mean of its divisors is an integer number (5833613149).
Almost surely, 2240968174454 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 240968174454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315015110046).
240968174454 is an abundant number, since it is smaller than the sum of its proper divisors (389062045638).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
240968174454 is an frugal number, since it uses more digits than its factorization.
240968174454 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6393 (or 3193 counting only the distinct ones).
The product of its (nonzero) digits is 7741440, while the sum is 54.
Multiplying 240968174454 by its sum of digits (54), we get a square (13012281420516 = 36072542).
240968174454 divided by its sum of digits (54) gives a square (4462373601 = 668012).
The spelling of 240968174454 in words is "two hundred forty billion, nine hundred sixty-eight million, one hundred seventy-four thousand, four hundred fifty-four".
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