Search a number
-
+
14429024520 = 2335791522049
BaseRepresentation
bin11010111000000100…
…10111000100001000
31101020120202101120120
431130002113010020
5214022312241040
610343440023240
71020364453611
oct153402270410
941216671516
1014429024520
116134898759
122968301b20
13148c473441
149ac474c08
15596b2b7d0
hex35c097108

14429024520 has 64 divisors (see below), whose sum is σ = 43835040000. Its totient is φ = 3799031808.

The previous prime is 14429024509. The next prime is 14429024531. The reversal of 14429024520 is 2542092441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14429024509) and next prime (14429024531).

It is a super-2 number, since 2×144290245202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 751545 + ... + 770504.

It is an arithmetic number, because the mean of its divisors is an integer number (684922500).

Almost surely, 214429024520 is an apocalyptic number.

14429024520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14429024520 is an abundant number, since it is smaller than the sum of its proper divisors (29406015480).

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

14429024520 is a wasteful number, since it uses less digits than its factorization.

14429024520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522142 (or 1522138 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 14429024520 in words is "fourteen billion, four hundred twenty-nine million, twenty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 790 948 1185 1580 1896 2370 3160 4740 9480 1522049 3044098 4566147 6088196 7610245 9132294 12176392 15220490 18264588 22830735 30440980 36529176 45661470 60881960 91322940 120241871 182645880 240483742 360725613 480967484 601209355 721451226 961934968 1202418710 1442902452 1803628065 2404837420 2885804904 3607256130 4809674840 7214512260 14429024520