Search a number
-
+
14400502011333 = 32181367149916069
BaseRepresentation
bin1101000110001110000011…
…0011101001010111000101
31212222200012202010010211200
43101203200303221113011
53341414212003330313
650343255503053113
73014254602313344
oct321434063512705
955880182103750
1014400502011333
114652244a68589
121746ab6ba1199
13805c6659c9c9
1437adb918bb5b
1519e8cb90ab73
hexd18e0ce95c5

14400502011333 has 48 divisors (see below), whose sum is σ = 20987934240000. Its totient is φ = 9514335841920.

The previous prime is 14400502011289. The next prime is 14400502011391. The reversal of 14400502011333 is 33311020500441.

It is a happy number.

14400502011333 is a `hidden beast` number, since 1 + 4 + 40 + 0 + 502 + 0 + 113 + 3 + 3 = 666.

It is not a de Polignac number, because 14400502011333 - 212 = 14400502007237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14400502011297 and 14400502011306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14400502011733) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 896158623 + ... + 896174691.

It is an arithmetic number, because the mean of its divisors is an integer number (437248630000).

Almost surely, 214400502011333 is an apocalyptic number.

It is an amenable number.

14400502011333 is a deficient number, since it is larger than the sum of its proper divisors (6587432228667).

14400502011333 is a wasteful number, since it uses less digits than its factorization.

14400502011333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18122 (or 18119 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 14400502011333 its reverse (33311020500441), we get a palindrome (47711522511774).

The spelling of 14400502011333 in words is "fourteen trillion, four hundred billion, five hundred two million, eleven thousand, three hundred thirty-three".

Divisors: 1 3 9 181 367 543 1101 1499 1629 3303 4497 13491 16069 48207 66427 144621 199281 271319 550133 597843 813957 1650399 2441871 2908489 4951197 5897323 8725467 17691969 24087431 26176401 53075907 72262293 99574073 216786879 298722219 896166657 1067415463 3202246389 4359825011 8840087177 9606739167 13079475033 26520261531 39238425099 79560784593 1600055779037 4800167337111 14400502011333