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14014146690 = 2335175951749
BaseRepresentation
bin11010000110100111…
…01110100010000010
31100011200002102012000
431003103232202002
5212200110143230
610234335444430
71004166165345
oct150323564202
940150072160
1014014146690
115a41690915
122871386716
131424522cbb
1496d31a45c
155704c9b60
hex3434ee882

14014146690 has 128 divisors (see below), whose sum is σ = 40240800000. Its totient is φ = 3457594368.

The previous prime is 14014146613. The next prime is 14014146691. The reversal of 14014146690 is 9664141041.

It is a super-2 number, since 2×140141466902 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14014146691) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 244936 + ... + 296684.

It is an arithmetic number, because the mean of its divisors is an integer number (314381250).

Almost surely, 214014146690 is an apocalyptic number.

14014146690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14014146690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20120400000).

14014146690 is an abundant number, since it is smaller than the sum of its proper divisors (26226653310).

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

14014146690 is a wasteful number, since it uses less digits than its factorization.

14014146690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51841 (or 51835 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 14014146690 in words is "fourteen billion, fourteen million, one hundred forty-six thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 59 85 90 102 118 135 153 170 177 255 270 295 306 354 459 510 531 590 765 885 918 1003 1062 1530 1593 1770 2006 2295 2655 3009 3186 4590 5015 5310 6018 7965 9027 10030 15045 15930 18054 27081 30090 45135 51749 54162 90270 103498 135405 155247 258745 270810 310494 465741 517490 776235 879733 931482 1397223 1552470 1759466 2328705 2639199 2794446 3053191 4398665 4657410 5278398 6106382 6986115 7917597 8797330 9159573 13195995 13972230 15265955 15835194 18319146 23752791 26391990 27478719 30531910 39587985 45797865 47505582 51904247 54957438 79175970 82436157 91595730 103808494 118763955 137393595 155712741 164872314 237527910 259521235 274787190 311425482 412180785 467138223 519042470 778563705 824361570 934276446 1401414669 1557127410 2335691115 2802829338 4671382230 7007073345 14014146690