Search a number
-
+
14120401040343 = 3313312801463303
BaseRepresentation
bin1100110101111010100101…
…1111001111001111010111
31211222220020000201112012000
43031132221133033033113
53322322040131242333
650010453411130343
72655110462326563
oct315365137171727
954886200645160
1014120401040343
1145544792a6304
1217007658a39b3
137b57182552a0
1436b606b6a6a3
151974861c0713
hexcd7a97cf3d7

14120401040343 has 64 divisors (see below), whose sum is σ = 23263346319360. Its totient is φ = 8406151488000.

The previous prime is 14120401040323. The next prime is 14120401040399. The reversal of 14120401040343 is 34304010402141.

14120401040343 is a `hidden beast` number, since 1 + 4 + 1 + 204 + 0 + 10 + 403 + 43 = 666.

It is not a de Polignac number, because 14120401040343 - 210 = 14120401039319 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14120401040323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30246030 + ... + 30709332.

It is an arithmetic number, because the mean of its divisors is an integer number (363489786240).

Almost surely, 214120401040343 is an apocalyptic number.

14120401040343 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

14120401040343 is a deficient number, since it is larger than the sum of its proper divisors (9142945279017).

14120401040343 is a wasteful number, since it uses less digits than its factorization.

14120401040343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466157 (or 466151 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14120401040343 its reverse (34304010402141), we get a palindrome (48424411442484).

The spelling of 14120401040343 in words is "fourteen trillion, one hundred twenty billion, four hundred one million, forty thousand, three hundred forty-three".

Divisors: 1 3 9 13 27 31 39 93 117 279 351 403 837 1209 2801 3627 8403 10881 25209 36413 75627 86831 109239 260493 327717 463303 781479 983151 1128803 1389909 2344437 3386409 4169727 6022939 10159227 12509181 14362393 18068817 30477681 43087179 54206451 129261537 162619353 186711109 387784611 560133327 1297711703 1680399981 3893135109 5041199943 11679405327 16870252139 35038215981 40229062793 50610756417 120687188379 151832269251 362061565137 455496807753 522977816309 1086184695411 1568933448927 4706800346781 14120401040343