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12914031408 = 243795935743
BaseRepresentation
bin11000000011011110…
…00111101100110000
31020100000000202201120
430001233013230300
5202421443001113
65533240302240
7635010312225
oct140157075460
936300022646
1012914031408
1155276a7a33
122604a71980
1312aa631a05
148a718b94c
15508b1ea23
hex301bc7b30

12914031408 has 80 divisors (see below), whose sum is σ = 33846405120. Its totient is φ = 4242281472.

The previous prime is 12914031407. The next prime is 12914031479. The reversal of 12914031408 is 80413041921.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12914031407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2245785 + ... + 2251527.

It is an arithmetic number, because the mean of its divisors is an integer number (423080064).

Almost surely, 212914031408 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 12914031408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16923202560).

12914031408 is an abundant number, since it is smaller than the sum of its proper divisors (20932373712).

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

12914031408 is a wasteful number, since it uses less digits than its factorization.

12914031408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6426 (or 6420 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 12914031408 in words is "twelve billion, nine hundred fourteen million, thirty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 593 632 948 1186 1264 1779 1896 2372 3558 3792 4744 5743 7116 9488 11486 14232 17229 22972 28464 34458 45944 46847 68916 91888 93694 137832 140541 187388 275664 281082 374776 453697 562164 749552 907394 1124328 1361091 1814788 2248656 2722182 3405599 3629576 5444364 6811198 7259152 10216797 10888728 13622396 20433594 21777456 27244792 40867188 54489584 81734376 163468752 269042321 538084642 807126963 1076169284 1614253926 2152338568 3228507852 4304677136 6457015704 12914031408