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14022034014300 = 22352135903609079
BaseRepresentation
bin1100110000001100001001…
…0110110100000001011100
31211122111022122210212002020
43030003002112310001130
53314214111201424200
645453344500300140
72645026034364234
oct314030226640134
954574278725066
1014022034014300
114516790713764
1216a56929a1650
137a936cb55130
14366954944cc4
15194b2a4e9ea0
hexcc0c25b405c

14022034014300 has 144 divisors (see below), whose sum is σ = 43698693104640. Its totient is φ = 3450987221760.

The previous prime is 14022034014293. The next prime is 14022034014319. The reversal of 14022034014300 is 341043022041.

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 47 ways as a sum of consecutive naturals, for example, 22717161 + ... + 23326239.

It is an arithmetic number, because the mean of its divisors is an integer number (303463146560).

Almost surely, 214022034014300 is an apocalyptic number.

14022034014300 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 14022034014300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21849346552320).

14022034014300 is an abundant number, since it is smaller than the sum of its proper divisors (29676659090340).

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

14022034014300 is a wasteful number, since it uses less digits than its factorization.

14022034014300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615012 (or 615005 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14022034014300 its reverse (341043022041), we get a palindrome (14363077036341).

The spelling of 14022034014300 in words is "fourteen trillion, twenty-two billion, thirty-four million, fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 5903 11806 17709 23612 29515 35418 59030 70836 76739 88545 118060 147575 153478 177090 230217 295150 306956 354180 383695 442725 460434 590300 609079 767390 885450 920868 1151085 1218158 1534780 1770900 1827237 1918475 2302170 2436316 3045395 3654474 3836950 4604340 5755425 6090790 7308948 7673900 7918027 9136185 11510850 12181580 15226975 15836054 18272370 23021700 23754081 30453950 31672108 36544740 39590135 45680925 47508162 60907900 79180270 91361850 95016324 118770405 158360540 182723700 197950675 237540810 395901350 475081620 593852025 791802700 1187704050 2375408100 3595393337 7190786674 10786180011 14381573348 17976966685 21572360022 35953933370 43144720044 46740113381 53930900055 71907866740 89884833425 93480226762 107861800110 140220340143 179769666850 186960453524 215723600220 233700566905 269654500275 280440680286 359539333700 467401133810 539309000550 560881360572 701101700715 934802267620 1078618001100 1168502834525 1402203401430 2337005669050 2804406802860 3505508503575 4674011338100 7011017007150 14022034014300