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13214015304 = 2337116367631
BaseRepresentation
bin11000100111001110…
…11101111101001000
31021002220111112021020
430103213131331020
5204030241442204
610023114112440
7645312163650
oct142347357510
937086445236
1013214015304
115670a70306
12268941b720
131327825389
148d4d59360
15525128bd9
hex3139ddf48

13214015304 has 64 divisors (see below), whose sum is σ = 37787351040. Its totient is φ = 3772130880.

The previous prime is 13214015293. The next prime is 13214015317. The reversal of 13214015304 is 40351041231.

It is a happy number.

It is a super-2 number, since 2×132140153042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161569 + ... + 229199.

It is an arithmetic number, because the mean of its divisors is an integer number (590427360).

Almost surely, 213214015304 is an apocalyptic number.

13214015304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13214015304 is an abundant number, since it is smaller than the sum of its proper divisors (24573335736).

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

13214015304 is a wasteful number, since it uses less digits than its factorization.

13214015304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68810 (or 68806 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 13214015304 its reverse (40351041231), we get a palindrome (53565056535).

The spelling of 13214015304 in words is "thirteen billion, two hundred fourteen million, fifteen thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1163 2326 3489 4652 6978 8141 9304 13956 16282 24423 27912 32564 48846 65128 67631 97692 135262 195384 202893 270524 405786 473417 541048 811572 946834 1420251 1623144 1893668 2840502 3787336 5681004 11362008 78654853 157309706 235964559 314619412 471929118 550583971 629238824 943858236 1101167942 1651751913 1887716472 2202335884 3303503826 4404671768 6607007652 13214015304