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12314031504 = 2432910187587
BaseRepresentation
bin10110111011111100…
…10011010110010000
31011210012000121120220
423131332103112100
5200204343002004
65353524233040
7614103353325
oct133576232620
934705017526
1012314031504
115249a4a145
122477b3b780
131213236198
1484b604b4c
154c1101dd9
hex2ddf93590

12314031504 has 80 divisors (see below), whose sum is σ = 33234390720. Its totient is φ = 3923852800.

The previous prime is 12314031503. The next prime is 12314031511. The reversal of 12314031504 is 40513041321.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (12314031503) by changing a digit.

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, 96799 + ... + 184385.

It is an arithmetic number, because the mean of its divisors is an integer number (415429884).

Almost surely, 212314031504 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 12314031504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16617195360).

12314031504 is an abundant number, since it is smaller than the sum of its proper divisors (20920359216).

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

12314031504 is a wasteful number, since it uses less digits than its factorization.

12314031504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87728 (or 87722 counting only the distinct ones).

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

Adding to 12314031504 its reverse (40513041321), we get a palindrome (52827072825).

The spelling of 12314031504 in words is "twelve billion, three hundred fourteen million, thirty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 101 116 174 202 232 303 348 404 464 606 696 808 1212 1392 1616 2424 2929 4848 5858 8787 11716 17574 23432 35148 46864 70296 87587 140592 175174 262761 350348 525522 700696 1051044 1401392 2102088 2540023 4204176 5080046 7620069 8846287 10160092 15240138 17692574 20320184 26538861 30480276 35385148 40640368 53077722 60960552 70770296 106155444 121921104 141540592 212310888 256542323 424621776 513084646 769626969 1026169292 1539253938 2052338584 3078507876 4104677168 6157015752 12314031504