Search a number
-
+
1404464512 = 27114124329
BaseRepresentation
bin101001110110110…
…0110110110000000
310121212202012010011
41103231212312000
510334020331022
6351210314304
746542515503
oct12355466600
93555665104
101404464512
11660868a80
12332428994
13194c828b9
14d475513a
1583477977
hex53b66d80

1404464512 has 64 divisors (see below), whose sum is σ = 3126891600. Its totient is φ = 622796800.

The previous prime is 1404464459. The next prime is 1404464527. The reversal of 1404464512 is 2154644041.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45564 + ... + 69892.

Almost surely, 21404464512 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 1404464512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563445800).

1404464512 is an abundant number, since it is smaller than the sum of its proper divisors (1722427088).

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

1404464512 is a wasteful number, since it uses less digits than its factorization.

1404464512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24395 (or 24383 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 1404464512 is about 37476.1859318688. The cubic root of 1404464512 is about 1119.8768231883.

The spelling of 1404464512 in words is "one billion, four hundred four million, four hundred sixty-four thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 128 164 176 328 352 451 656 704 902 1312 1408 1804 2624 3608 5248 7216 14432 24329 28864 48658 57728 97316 194632 267619 389264 535238 778528 997489 1070476 1557056 1994978 2140952 3114112 3989956 4281904 7979912 8563808 10972379 15959824 17127616 21944758 31919648 34255232 43889516 63839296 87779032 127678592 175558064 351116128 702232256 1404464512