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14210444442420 = 223252328219121637
BaseRepresentation
bin1100111011001010000001…
…1111100011101100110100
31212022111122022021021202200
43032302200133203230310
53330310442234124140
650120104341504500
72664446026531032
oct316624037435464
955274568237680
1014210444442420
114589685470a86
1217160b5112130
137c1068062765
14371b09725552
151999a6272030
hexceca07e3b34

14210444442420 has 144 divisors (see below), whose sum is σ = 44981109613440. Its totient is φ = 3624534828288.

The previous prime is 14210444442199. The next prime is 14210444442457. The reversal of 14210444442420 is 2424444401241.

14210444442420 is a `hidden beast` number, since 14 + 210 + 4 + 4 + 4 + 4 + 4 + 2 + 420 = 666.

It is a super-2 number, since 2×142104444424202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116765842 + ... + 116887478.

It is an arithmetic number, because the mean of its divisors is an integer number (312368816760).

Almost surely, 214210444442420 is an apocalyptic number.

14210444442420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14210444442420 is an abundant number, since it is smaller than the sum of its proper divisors (30770665171020).

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

14210444442420 is a wasteful number, since it uses less digits than its factorization.

14210444442420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149894 (or 149889 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 14210444442420 its reverse (2424444401241), we get a palindrome (16634888843661).

The spelling of 14210444442420 in words is "fourteen trillion, two hundred ten billion, four hundred forty-four million, four hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 28219 56438 84657 112876 121637 141095 169314 243274 253971 282190 338628 364911 423285 486548 507942 564380 608185 649037 729822 846570 1015884 1094733 1216370 1269855 1298074 1459644 1693140 1824555 1947111 2189466 2432740 2539710 2596148 2797651 3245185 3649110 3894222 4378932 5079420 5473665 5595302 5841333 6490370 7298220 7788444 8392953 9735555 10947330 11190604 11682666 12980740 13988255 16785906 19471110 21894660 23365332 25178859 27976510 29206665 33571812 38942220 41964765 50357718 55953020 58413330 83929530 100715436 116826660 125894295 167859060 251788590 503577180 3432474503 6864949006 10297423509 13729898012 17162372515 20594847018 30892270527 34324745030 41189694036 51487117545 61784541054 68649490060 78946913569 102974235090 123569082108 154461352635 157893827138 205948470180 236840740707 308922705270 315787654276 394734567845 473681481414 617845410540 710522222121 789469135690 947362962828 1184203703535 1421044444242 1578938271380 2368407407070 2842088888484 3552611110605 4736814814140 7105222221210 14210444442420