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14072271486 = 23721314712503
BaseRepresentation
bin11010001101100010…
…11101001001111110
31100022201110110102020
431012301131021332
5212310000141421
610244213341010
71005503222400
oct150661351176
940281413366
1014072271486
115a71480939
122888937766
131433594580
14976d2ab70
1557565bdc6
hex346c5d27e

14072271486 has 96 divisors (see below), whose sum is σ = 35296063488. Its totient is φ = 3707363520.

The previous prime is 14072271481. The next prime is 14072271487. The reversal of 14072271486 is 68417227041.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14072271481) 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 47 ways as a sum of consecutive naturals, for example, 5620911 + ... + 5623413.

It is an arithmetic number, because the mean of its divisors is an integer number (367667328).

Almost surely, 214072271486 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14072271486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17648031744).

14072271486 is an abundant number, since it is smaller than the sum of its proper divisors (21223792002).

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

14072271486 is a wasteful number, since it uses less digits than its factorization.

14072271486 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4006 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 14072271486 in words is "fourteen billion, seventy-two million, two hundred seventy-one thousand, four hundred eighty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 546 637 1274 1471 1911 2503 2942 3822 4413 5006 7509 8826 10297 15018 17521 19123 20594 30891 32539 35042 38246 52563 57369 61782 65078 72079 97617 105126 114738 122647 133861 144158 195234 216237 227773 245294 267722 367941 401583 432474 455546 683319 735882 803166 937027 1366638 1594411 1874054 2811081 3188822 3681913 4783233 5622162 7363826 9566466 11045739 22091478 25773391 47864869 51546782 77320173 95729738 143594607 154640346 180413737 287189214 335054083 360827474 541241211 670108166 1005162249 1082482422 2010324498 2345378581 4690757162 7036135743 14072271486