Search a number
-
+
461143240046544 = 24311873377348573
BaseRepresentation
bin110100011011010000100011…
…1000000110111011111010000
32020110202212022021111100122010
41220312201013000313133100
5440420332323422442134
64312434140243142520
7166063333243060206
oct15066410700673720
92213685267440563
10461143240046544
11123a30828032750
1243878796074a40
1316a4080c2a7363
1481c3648067076
15384a5d9827ce9
hex1a368470377d0

461143240046544 has 40 divisors (see below), whose sum is σ = 1299585494678112. Its totient is φ = 139740375771520.

The previous prime is 461143240046543. The next prime is 461143240046551. The reversal of 461143240046544 is 445640042341164.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 461143240046493 and 461143240046502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461143240046543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 436688673759 + ... + 436688674814.

Almost surely, 2461143240046544 is an apocalyptic number.

461143240046544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

461143240046544 is an abundant number, since it is smaller than the sum of its proper divisors (838442254631568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

461143240046544 is a wasteful number, since it uses less digits than its factorization.

461143240046544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873377348595 (or 873377348589 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 48.

The spelling of 461143240046544 in words is "four hundred sixty-one trillion, one hundred forty-three billion, two hundred forty million, forty-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 873377348573 1746754697146 2620132045719 3493509394292 5240264091438 6987018788584 9607150834303 10480528182876 13974037577168 19214301668606 20961056365752 28821452502909 38428603337212 41922112731504 57642905005818 76857206674424 115285810011636 153714413348848 230571620023272 461143240046544