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14529711120 = 2435677011289
BaseRepresentation
bin11011000100000100…
…11100110000010000
31101111121012210121220
431202002130300100
5214224101223440
610401434045040
71023026335551
oct154202346020
941447183556
1014529711120
116186709021
122995b79780
1314a7297602
149bb9a4328
155a08b98d0
hex36209cc10

14529711120 has 160 divisors (see below), whose sum is σ = 45815103360. Its totient is φ = 3808358400.

The previous prime is 14529711101. The next prime is 14529711139. The reversal of 14529711120 is 2111792541.

It is an interprime number because it is at equal distance from previous prime (14529711101) and next prime (14529711139).

It is a super-2 number, since 2×145297111202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11271436 + ... + 11272724.

It is an arithmetic number, because the mean of its divisors is an integer number (286344396).

Almost surely, 214529711120 is an apocalyptic number.

14529711120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14529711120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22907551680).

14529711120 is an abundant number, since it is smaller than the sum of its proper divisors (31285392240).

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

14529711120 is a wasteful number, since it uses less digits than its factorization.

14529711120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The spelling of 14529711120 in words is "fourteen billion, five hundred twenty-nine million, seven hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 701 804 1005 1072 1289 1340 1402 1608 2010 2103 2578 2680 2804 3216 3505 3867 4020 4206 5156 5360 5608 6445 7010 7734 8040 8412 10312 10515 11216 12890 14020 15468 16080 16824 19335 20624 21030 25780 28040 30936 33648 38670 42060 46967 51560 56080 61872 77340 84120 86363 93934 103120 140901 154680 168240 172726 187868 234835 259089 281802 309360 345452 375736 431815 469670 518178 563604 690904 704505 751472 863630 903589 939340 1036356 1127208 1295445 1381808 1409010 1727260 1807178 1878680 2072712 2254416 2590890 2710767 2818020 3454520 3614356 3757360 4145424 4517945 5181780 5421534 5636040 6909040 7228712 9035890 10363560 10843068 11272080 13553835 14457424 18071780 20727120 21686136 27107670 36143560 43372272 54215340 60540463 72287120 108430680 121080926 181621389 216861360 242161852 302702315 363242778 484323704 605404630 726485556 908106945 968647408 1210809260 1452971112 1816213890 2421618520 2905942224 3632427780 4843237040 7264855560 14529711120