Search a number
-
+
12314031440 = 2451311175003
BaseRepresentation
bin10110111011111100…
…10011010101010000
31011210012000121111112
423131332103111100
5200204343001230
65353524232452
7614103353204
oct133576232520
934705017445
1012314031440
115249a4a097
122477b3b728
131213236149
1484b604b04
154c1101d95
hex2ddf93550

12314031440 has 40 divisors (see below), whose sum is σ = 28848698208. Its totient is φ = 4888008320.

The previous prime is 12314031439. The next prime is 12314031487. The reversal of 12314031440 is 4413041321.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 577022 + ... + 597981.

Almost surely, 212314031440 is an apocalyptic number.

12314031440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12314031440 is an abundant number, since it is smaller than the sum of its proper divisors (16534666768).

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

12314031440 is a wasteful number, since it uses less digits than its factorization.

12314031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175147 (or 1175141 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 12314031440 its reverse (4413041321), we get a palindrome (16727072761).

The spelling of 12314031440 in words is "twelve billion, three hundred fourteen million, thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 1048 1310 2096 2620 5240 10480 1175003 2350006 4700012 5875015 9400024 11750030 18800048 23500060 47000120 94000240 153925393 307850786 615701572 769626965 1231403144 1539253930 2462806288 3078507860 6157015720 12314031440