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14402241333320 = 2353173469327421
BaseRepresentation
bin1101000110010100100001…
…1110101000100001001000
31212222211200221221212001112
43101211020132220201020
53341431242240131240
650344144234505452
73014345652311051
oct321451036504110
955884627855045
1014402241333320
114652a57848975
121747301595288
13806182a36309
1437b10218b728
1519e97e47a665
hexd19487a8848

14402241333320 has 64 divisors (see below), whose sum is σ = 32516737210800. Its totient is φ = 5741050383360.

The previous prime is 14402241333257. The next prime is 14402241333397. The reversal of 14402241333320 is 2333314220441.

It can be written as a sum of positive squares in 8 ways, for example, as 791292086116 + 13610949247204 = 889546^2 + 3689302^2 .

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 15 ways as a sum of consecutive naturals, for example, 43823210 + ... + 44150630.

Almost surely, 214402241333320 is an apocalyptic number.

14402241333320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14402241333320 is an abundant number, since it is smaller than the sum of its proper divisors (18114495877480).

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

14402241333320 is a wasteful number, since it uses less digits than its factorization.

14402241333320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331218 (or 331214 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 14402241333320 its reverse (2333314220441), we get a palindrome (16735555553761).

The spelling of 14402241333320 in words is "fourteen trillion, four hundred two billion, two hundred forty-one million, three hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 317 634 1268 1585 2536 3170 3469 6340 6938 12680 13876 17345 27752 34690 69380 138760 327421 654842 1099673 1309684 1637105 2199346 2619368 3274210 4398692 5498365 6548420 8797384 10996730 13096840 21993460 43986920 103792457 207584914 415169828 518962285 830339656 1037924570 1135823449 2075849140 2271646898 4151698280 4543293796 5679117245 9086587592 11358234490 22716468980 45432937960 360056033333 720112066666 1440224133332 1800280166665 2880448266664 3600560333330 7201120666660 14402241333320