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14430544304 = 2411293119091
BaseRepresentation
bin11010111000010000…
…01010000110110000
31101020200121121022212
431130020022012300
5214023204404204
610343532351252
71020413413511
oct153410120660
941220547285
1014430544304
116135736580
122968915528
13148c886117
149ac74ca08
15596d2bc6e
hex35c20a1b0

14430544304 has 80 divisors (see below), whose sum is σ = 31657616640. Its totient is φ = 6312096000.

The previous prime is 14430544277. The next prime is 14430544319. The reversal of 14430544304 is 40344503441.

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, 1582799 + ... + 1591889.

It is an arithmetic number, because the mean of its divisors is an integer number (395720208).

Almost surely, 214430544304 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 14430544304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15828808320).

14430544304 is an abundant number, since it is smaller than the sum of its proper divisors (17227072336).

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

14430544304 is a wasteful number, since it uses less digits than its factorization.

14430544304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9450 (or 9444 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

The spelling of 14430544304 in words is "fourteen billion, four hundred thirty million, five hundred forty-four thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 311 319 464 622 638 1244 1276 2488 2552 3421 4976 5104 6842 9019 9091 13684 18038 18182 27368 36076 36364 54736 72152 72728 99209 100001 144304 145456 198418 200002 263639 396836 400004 527278 793672 800008 1054556 1587344 1600016 2109112 2827301 2900029 4218224 5654602 5800058 11309204 11600116 22618408 23200232 31100311 45236816 46400464 62200622 81991729 124401244 163983458 248802488 327966916 497604976 655933832 901909019 1311867664 1803818038 3607636076 7215272152 14430544304