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14233220220320 = 2551271492946919
BaseRepresentation
bin1100111100011110111000…
…0010010000010110100000
31212101200102120220200110022
43033013232002100112200
53331144113334022240
650134352345453012
72666213315460623
oct317075602202640
955350376820408
1014233220220320
114598302834022
12171a5b07a1168
137c325783650a
14372c6a527dba
1519a38aa409b5
hexcf1ee0905a0

14233220220320 has 96 divisors (see below), whose sum is σ = 33893746790400. Its totient is φ = 5647960313856.

The previous prime is 14233220220299. The next prime is 14233220220341. The reversal of 14233220220320 is 2302202233241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14233220220299) and next prime (14233220220341).

It is a super-2 number, since 2×142332202203202 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14233220220320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303333821 + ... + 303380739.

It is an arithmetic number, because the mean of its divisors is an integer number (353059862400).

Almost surely, 214233220220320 is an apocalyptic number.

14233220220320 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 14233220220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16946873395200).

14233220220320 is an abundant number, since it is smaller than the sum of its proper divisors (19660526570080).

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

14233220220320 is a wasteful number, since it uses less digits than its factorization.

14233220220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61990 (or 61982 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 14233220220320 its reverse (2302202233241), we get a palindrome (16535422453561).

The spelling of 14233220220320 in words is "fourteen trillion, two hundred thirty-three billion, two hundred twenty million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 127 160 254 508 635 1016 1270 2032 2540 4064 5080 10160 14929 20320 29858 46919 59716 74645 93838 119432 149290 187676 234595 238864 298580 375352 469190 477728 597160 750704 938380 1194320 1501408 1876760 1895983 2388640 3753520 3791966 5958713 7507040 7583932 9479915 11917426 15167864 18959830 23834852 29793565 30335728 37919660 47669704 59587130 60671456 75839320 95339408 119174260 151678640 190678816 238348520 303357280 476697040 700453751 953394080 1400907502 2801815004 3502268755 5603630008 7004537510 11207260016 14009075020 22414520032 28018150040 56036300080 88957626377 112072600160 177915252754 355830505508 444788131885 711661011016 889576263770 1423322022032 1779152527540 2846644044064 3558305055080 7116610110160 14233220220320