Search a number
-
+
14031585180 = 2233531838207
BaseRepresentation
bin11010001000101100…
…01111111110011100
31100012212220101022000
431010112033332130
5212214041211210
610240201322300
71004500335414
oct150426177634
940185811260
1014031585180
115a50511698
122877196390
13142801a532
14971779644
15571cc1ac0
hex34458ff9c

14031585180 has 96 divisors (see below), whose sum is σ = 45062062080. Its totient is φ = 3621049920.

The previous prime is 14031585167. The next prime is 14031585181. The reversal of 14031585180 is 8158513041.

14031585180 is a `hidden beast` number, since 1 + 40 + 31 + 585 + 1 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14031585181) 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 31 ways as a sum of consecutive naturals, for example, 402364 + ... + 435843.

It is an arithmetic number, because the mean of its divisors is an integer number (469396480).

Almost surely, 214031585180 is an apocalyptic number.

14031585180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14031585180 is an abundant number, since it is smaller than the sum of its proper divisors (31030476900).

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

14031585180 is a wasteful number, since it uses less digits than its factorization.

14031585180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838256 (or 838248 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 14031585180 in words is "fourteen billion, thirty-one million, five hundred eighty-five thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 837 930 1116 1395 1674 1860 2790 3348 4185 5580 8370 16740 838207 1676414 2514621 3352828 4191035 5029242 7543863 8382070 10058484 12573105 15087726 16764140 22631589 25146210 25984417 30175452 37719315 45263178 50292420 51968834 75438630 77953251 90526356 103937668 113157945 129922085 150877260 155906502 226315890 233859753 259844170 311813004 389766255 452631780 467719506 519688340 701579259 779532510 935439012 1169298765 1403158518 1559065020 2338597530 2806317036 3507896295 4677195060 7015792590 14031585180