Search a number
-
+
14224022310300 = 223521123918034769
BaseRepresentation
bin1100111011111100100111…
…0011000000110110011100
31212100210200120102102221020
43032333021303000312130
53331021244202412200
650130231534404140
72665436350515465
oct316771163006634
955323616372836
1014224022310300
1145944128580a0
121718864360650
137c24200812ca
14372636b15d6c
15199eed2bdea0
hexcefc9cc0d9c

14224022310300 has 144 divisors (see below), whose sum is σ = 45084039436800. Its totient is φ = 3433819827200.

The previous prime is 14224022310259. The next prime is 14224022310301. The reversal of 14224022310300 is 301322042241.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14224022310301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8228685 + ... + 9806084.

It is an arithmetic number, because the mean of its divisors is an integer number (313083607200).

Almost surely, 214224022310300 is an apocalyptic number.

14224022310300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14224022310300 is an abundant number, since it is smaller than the sum of its proper divisors (30860017126500).

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

14224022310300 is a wasteful number, since it uses less digits than its factorization.

14224022310300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18035036 (or 18035029 counting only the distinct ones).

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

Adding to 14224022310300 its reverse (301322042241), we get a palindrome (14525344352541).

The spelling of 14224022310300 in words is "fourteen trillion, two hundred twenty-four billion, twenty-two million, three hundred ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 239 275 300 330 478 550 660 717 825 956 1100 1195 1434 1650 2390 2629 2868 3300 3585 4780 5258 5975 7170 7887 10516 11950 13145 14340 15774 17925 23900 26290 31548 35850 39435 52580 65725 71700 78870 131450 157740 197175 262900 394350 788700 18034769 36069538 54104307 72139076 90173845 108208614 180347690 198382459 216417228 270521535 360695380 396764918 450869225 541043070 595147377 793529836 901738450 991912295 1082086140 1190294754 1352607675 1803476900 1983824590 2380589508 2705215350 2975736885 3967649180 4310309791 4959561475 5410430700 5951473770 8620619582 9919122950 11902947540 12930929373 14878684425 17241239164 19838245900 21551548955 25861858746 29757368850 43103097910 47413407701 51723717492 59514737700 64654646865 86206195820 94826815402 107757744775 129309293730 142240223103 189653630804 215515489550 237067038505 258618587460 284480446206 323273234325 431030979100 474134077010 568960892412 646546468650 711201115515 948268154020 1185335192525 1293092937300 1422402231030 2370670385050 2844804462060 3556005577575 4741340770100 7112011155150 14224022310300