Base | Representation |
---|---|
bin | 100110001000110010000… |
… | …1000110110111101000000 |
3 | 200120002022221111211010000 |
4 | 1030101210020312331000 |
5 | 1141334133234114320 |
6 | 15051532540040000 |
7 | 1050455152055400 |
oct | 114214410667500 |
9 | 20502287454100 |
10 | 5241540144960 |
11 | 1740a19846479 |
12 | 707a19233000 |
13 | 2c0376572772 |
14 | 1419987c8800 |
15 | 915279a6c90 |
hex | 4c464236f40 |
5241540144960 has 3360 divisors, whose sum is σ = 24411147780096. Its totient is φ = 1059028992000.
The previous prime is 5241540144959. The next prime is 5241540144961. The reversal of 5241540144960 is 694410451425.
5241540144960 is a `hidden beast` number, since 5 + 2 + 4 + 1 + 540 + 1 + 4 + 49 + 60 = 666.
It is an interprime number because it is at equal distance from previous prime (5241540144959) and next prime (5241540144961).
It is a tau number, because it is divible by the number of its divisors (3360).
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (5241540144961) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 27442618465 + ... + 27442618655.
Almost surely, 25241540144960 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 5241540144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12205573890048).
5241540144960 is an abundant number, since it is smaller than the sum of its proper divisors (19169607635136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5241540144960 is a wasteful number, since it uses less digits than its factorization.
5241540144960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 323 (or 297 counting only the distinct ones).
The product of its (nonzero) digits is 691200, while the sum is 45.
The spelling of 5241540144960 in words is "five trillion, two hundred forty-one billion, five hundred forty million, one hundred forty-four thousand, nine hundred sixty".
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