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14031402340224 = 273612137928019
BaseRepresentation
bin1100110000101111000011…
…0000001000111110000000
31211200101111112222010021110
43030023300300020332000
53314342302444341344
645501534240123320
72645510142006633
oct314136060107600
954611445863243
1014031402340224
11451a758906685
1216a7468306540
137aa203a06a59
143671a2c37c1a
15194ec7bd03b9
hexcc2f0c08f80

14031402340224 has 128 divisors (see below), whose sum is σ = 37885035024000. Its totient is φ = 4600080414720.

The previous prime is 14031402340223. The next prime is 14031402340243. The reversal of 14031402340224 is 42204320413041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 14031402340191 and 14031402340200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14031402340223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500767687 + ... + 500795705.

It is an arithmetic number, because the mean of its divisors is an integer number (295976836125).

Almost surely, 214031402340224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14031402340224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18942517512000).

14031402340224 is an abundant number, since it is smaller than the sum of its proper divisors (23853632683776).

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

14031402340224 is a wasteful number, since it uses less digits than its factorization.

14031402340224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49476 (or 49464 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 14031402340224 its reverse (42204320413041), we get a palindrome (56235722753265).

The spelling of 14031402340224 in words is "fourteen trillion, thirty-one billion, four hundred two million, three hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 366 384 488 732 976 1464 1952 2928 3904 5856 7808 11712 21379 23424 28019 42758 56038 64137 84057 85516 112076 128274 168114 171032 224152 256548 336228 342064 448304 513096 672456 684128 896608 1026192 1304119 1344912 1368256 1709159 1793216 2052384 2608238 2689824 2736512 3418318 3586432 3912357 4104768 5127477 5216476 5379648 6836636 7824714 8209536 10254954 10432952 10759296 13673272 15649428 20509908 20865904 27346544 31298856 41019816 41731808 54693088 62597712 82039632 83463616 109386176 125195424 164079264 166927232 218772352 250390848 328158528 500781696 599018201 656317056 1198036402 1797054603 2396072804 3594109206 4792145608 7188218412 9584291216 14376436824 19168582432 28752873648 36540110261 38337164864 57505747296 73080220522 76674329728 109620330783 115011494592 146160441044 219240661566 230022989184 292320882088 438481323132 584641764176 876962646264 1169283528352 1753925292528 2338567056704 3507850585056 4677134113408 7015701170112 14031402340224