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14145682616 = 23132531131747
BaseRepresentation
bin11010010110010010…
…11111110010111000
31100111211121010112222
431023021133302320
5212432243320431
610255355023212
71010354214122
oct151311376270
940454533488
1014145682616
115aa996179a
1228a943ab08
131445858900
1498299a212
1557bd0d57b
hex34b25fcb8

14145682616 has 96 divisors (see below), whose sum is σ = 29538088560. Its totient is φ = 6345271296.

The previous prime is 14145682547. The next prime is 14145682619. The reversal of 14145682616 is 61628654141.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14145682619) 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 23 ways as a sum of consecutive naturals, for example, 8096255 + ... + 8098001.

Almost surely, 214145682616 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 14145682616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14769044280).

14145682616 is an abundant number, since it is smaller than the sum of its proper divisors (15392405944).

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

14145682616 is a wasteful number, since it uses less digits than its factorization.

14145682616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1928 counting only the distinct ones).

The product of its digits is 276480, while the sum is 44.

The spelling of 14145682616 in words is "fourteen billion, one hundred forty-five million, six hundred eighty-two thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 26 52 53 104 106 113 169 212 226 338 424 452 676 689 904 1352 1378 1469 1747 2756 2938 3494 5512 5876 5989 6988 8957 11752 11978 13976 17914 19097 22711 23956 35828 38194 45422 47912 71656 76388 77857 90844 92591 152776 155714 181688 185182 197411 295243 311428 370364 394822 590486 622856 740728 789644 1012141 1180972 1203683 1579288 2024282 2361944 2407366 2566343 4048564 4814732 5132686 8097128 9629464 10265372 10462783 15647879 20530744 20925566 31295758 33362459 41851132 62591516 66724918 83702264 125183032 133449836 136016179 266899672 272032358 544064716 1088129432 1768210327 3536420654 7072841308 14145682616