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14231454936 = 23317191979319
BaseRepresentation
bin11010100000100001…
…01100010011011000
31100201210222211001120
431100100230103120
5213121223024221
610312101245240
71012445241156
oct152020542330
940653884046
1014231454936
116043315806
122912103820
13145a55a46a
149901263d6
155846025c6
hex35042c4d8

14231454936 has 128 divisors (see below), whose sum is σ = 39859776000. Its totient is φ = 4207859712.

The previous prime is 14231454893. The next prime is 14231454947. The reversal of 14231454936 is 63945413241.

It is a super-3 number, since 3×142314549363 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1522485 + ... + 1531803.

It is an arithmetic number, because the mean of its divisors is an integer number (311404500).

Almost surely, 214231454936 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 14231454936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19929888000).

14231454936 is an abundant number, since it is smaller than the sum of its proper divisors (25628321064).

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

14231454936 is a wasteful number, since it uses less digits than its factorization.

14231454936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9561 (or 9557 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The spelling of 14231454936 in words is "fourteen billion, two hundred thirty-one million, four hundred fifty-four thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 152 197 204 228 323 394 408 456 591 646 788 969 1182 1292 1576 1938 2364 2584 3349 3743 3876 4728 6698 7486 7752 9319 10047 11229 13396 14972 18638 20094 22458 26792 27957 29944 37276 40188 44916 55914 63631 74552 80376 89832 111828 127262 158423 177061 190893 223656 254524 316846 354122 381786 475269 509048 531183 633692 708244 763572 950538 1062366 1267384 1416488 1527144 1835843 1901076 2124732 3010037 3671686 3802152 4249464 5507529 6020074 7343372 9030111 11015058 12040148 14686744 18060222 22030116 24080296 31209331 34881017 36120444 44060232 62418662 69762034 72240888 93627993 104643051 124837324 139524068 187255986 209286102 249674648 279048136 374511972 418572204 592977289 749023944 837144408 1185954578 1778931867 2371909156 3557863734 4743818312 7115727468 14231454936