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14012010120420 = 22325135988038513
BaseRepresentation
bin1100101111100110110011…
…1000101100010011100100
31211121112110002002021201100
43023321230320230103210
53314033044042323140
645445010101400100
72644222446604644
oct313715470542344
954545402067640
1014012010120420
114512507469944
1216a3755a09030
137a8433220090
14366283562524
151947404bc530
hexcbe6ce2c4e4

14012010120420 has 72 divisors (see below), whose sum is σ = 45772566401016. Its totient is φ = 3449110182912.

The previous prime is 14012010120413. The next prime is 14012010120457. The reversal of 14012010120420 is 2402101021041.

14012010120420 is a `hidden beast` number, since 1 + 4 + 0 + 120 + 1 + 0 + 120 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 213266628864 + 13798743491556 = 461808^2 + 3714666^2 .

It is a super-2 number, since 2×140120101204202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14012010120393 and 14012010120402.

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 23 ways as a sum of consecutive naturals, for example, 2994016917 + ... + 2994021596.

It is an arithmetic number, because the mean of its divisors is an integer number (635730088903).

Almost surely, 214012010120420 is an apocalyptic number.

14012010120420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14012010120420 is an abundant number, since it is smaller than the sum of its proper divisors (31760556280596).

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

14012010120420 is a wasteful number, since it uses less digits than its factorization.

14012010120420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5988038541 (or 5988038536 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 14012010120420 its reverse (2402101021041), we get a palindrome (16414111141461).

The spelling of 14012010120420 in words is "fourteen trillion, twelve billion, ten million, one hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 5988038513 11976077026 17964115539 23952154052 29940192565 35928231078 53892346617 59880385130 71856462156 77844500669 89820577695 107784693234 119760770260 155689001338 179641155390 215569386468 233533502007 269461733085 311378002676 359282310780 389222503345 467067004014 538923466170 700600506021 778445006690 934134008028 1077846932340 1167667510035 1401201012042 1556890013380 2335335020070 2802402024084 3503002530105 4670670040140 7006005060210 14012010120420