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14071490368 = 261335947111
BaseRepresentation
bin11010001101011100…
…11110011101000000
31100022122222202220221
431012232132131000
5212304300142433
610244144512424
71005463460155
oct150656363500
940278882827
1014071490368
115a70a97a91
12288861b714
13143337cb80
14976ba622c
1557555572d
hex346b9e740

14071490368 has 56 divisors (see below), whose sum is σ = 30155448960. Its totient is φ = 6476305920.

The previous prime is 14071490347. The next prime is 14071490369. The reversal of 14071490368 is 86309417041.

14071490368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14071490369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275133 + ... + 322243.

It is an arithmetic number, because the mean of its divisors is an integer number (538490160).

Almost surely, 214071490368 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 14071490368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15077724480).

14071490368 is an abundant number, since it is smaller than the sum of its proper divisors (16083958592).

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

14071490368 is a wasteful number, since it uses less digits than its factorization.

14071490368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47495 (or 47485 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 14071490368 in words is "fourteen billion, seventy-one million, four hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 359 416 718 832 1436 2872 4667 5744 9334 11488 18668 22976 37336 47111 74672 94222 149344 188444 298688 376888 612443 753776 1224886 1507552 2449772 3015104 4899544 9799088 16912849 19598176 33825698 39196352 67651396 135302792 219867037 270605584 439734074 541211168 879468148 1082422336 1758936296 3517872592 7035745184 14071490368