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14020414212300 = 223521011331334757
BaseRepresentation
bin1100110000000110000111…
…0011110000100011001100
31211122100010202212101110120
43030001201303300203030
53314202302014243200
645452520034304540
72644640635321356
oct314014163604314
954570122771416
1014020414212300
11451602a347521
1216a5300428150
137a91723a8102
1436683d7780d6
15194a831d89a0
hexcc061cf08cc

14020414212300 has 144 divisors (see below), whose sum is σ = 40971628710432. Its totient is φ = 3701374976000.

The previous prime is 14020414212251. The next prime is 14020414212331. The reversal of 14020414212300 is 321241402041.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 403366522 + ... + 403401278.

It is an arithmetic number, because the mean of its divisors is an integer number (284525199378).

Almost surely, 214020414212300 is an apocalyptic number.

14020414212300 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 14020414212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20485814355216).

14020414212300 is an abundant number, since it is smaller than the sum of its proper divisors (26951214498132).

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

14020414212300 is a wasteful number, since it uses less digits than its factorization.

14020414212300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48188 (or 48181 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14020414212300 its reverse (321241402041), we get a palindrome (14341655614341).

The spelling of 14020414212300 in words is "fourteen trillion, twenty billion, four hundred fourteen million, two hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 1010 1212 1515 2020 2525 3030 5050 6060 7575 10100 13313 15150 26626 30300 34757 39939 53252 66565 69514 79878 104271 133130 139028 159756 173785 199695 208542 266260 332825 347570 399390 417084 521355 665650 695140 798780 868925 998475 1042710 1331300 1344613 1737850 1996950 2085420 2606775 2689226 3475700 3510457 3993900 4033839 5213550 5378452 6723065 7020914 8067678 10427100 10531371 13446130 14041828 16135356 17552285 20169195 21062742 26892260 33615325 35104570 40338390 42125484 52656855 67230650 70209140 80676780 87761425 100845975 105313710 134461300 175522850 201691950 210627420 263284275 351045700 403383900 462719941 526568550 925439882 1053137100 1388159823 1850879764 2313599705 2776319646 4627199410 5552639292 6940799115 9254398820 11567998525 13881598230 23135997050 27763196460 34703995575 46271994100 46734714041 69407991150 93469428082 138815982300 140204142123 186938856164 233673570205 280408284246 467347140410 560816568492 701020710615 934694280820 1168367851025 1402041421230 2336735702050 2804082842460 3505103553075 4673471404100 7010207106150 14020414212300