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14133110520 = 2335378338351
BaseRepresentation
bin11010010100110011…
…00010011011111000
31100110221221101212210
431022121202123320
5212421034014040
610254225335120
71010142312564
oct151231423370
940427841783
1014133110520
115aa2855131
1228a51974a0
1314430763b9
149810466a4
1557ab78480
hex34a6626f8

14133110520 has 128 divisors (see below), whose sum is σ = 44071050240. Its totient is φ = 3622694400.

The previous prime is 14133110503. The next prime is 14133110581. The reversal of 14133110520 is 2501133141.

14133110520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349345 + ... + 387695.

It is an arithmetic number, because the mean of its divisors is an integer number (344305080).

Almost surely, 214133110520 is an apocalyptic number.

14133110520 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 14133110520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22035525120).

14133110520 is an abundant number, since it is smaller than the sum of its proper divisors (29937939720).

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

14133110520 is a wasteful number, since it uses less digits than its factorization.

14133110520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38485 (or 38481 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 14133110520 its reverse (2501133141), we get a palindrome (16634243661).

The spelling of 14133110520 in words is "fourteen billion, one hundred thirty-three million, one hundred ten thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 83 111 120 148 166 185 222 249 296 332 370 415 444 498 555 664 740 830 888 996 1110 1245 1480 1660 1992 2220 2490 3071 3320 4440 4980 6142 9213 9960 12284 15355 18426 24568 30710 36852 38351 46065 61420 73704 76702 92130 115053 122840 153404 184260 191755 230106 306808 368520 383510 460212 575265 767020 920424 1150530 1418987 1534040 2301060 2837974 3183133 4256961 4602120 5675948 6366266 7094935 8513922 9549399 11351896 12732532 14189870 15915665 17027844 19098798 21284805 25465064 28379740 31831330 34055688 38197596 42569610 47746995 56759480 63662660 76395192 85139220 95493990 117775921 127325320 170278440 190987980 235551842 353327763 381975960 471103684 588879605 706655526 942207368 1177759210 1413311052 1766638815 2355518420 2826622104 3533277630 4711036840 7066555260 14133110520