Search a number
-
+
14415013420431 = 3132199257555931
BaseRepresentation
bin1101000111000100000111…
…0000010001110110001111
31220001001200001220002210220
43101301001300101312033
53342133421413423211
650354055445002423
73015310320254451
oct321610160216617
956031601802726
1014415013420431
114658411305a68
1217498869b3413
13807439b29a00
1437b99454a2d1
1519ee7a8ac806
hexd1c41c11d8f

14415013420431 has 48 divisors (see below), whose sum is σ = 20998218758400. Its totient is φ = 8791841710080.

The previous prime is 14415013420429. The next prime is 14415013420441. The reversal of 14415013420431 is 13402431051441.

It is not a de Polignac number, because 14415013420431 - 21 = 14415013420429 is a prime.

It is a super-2 number, since 2×144150134204312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14415013420392 and 14415013420401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14415013420441) 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, 25651536 + ... + 26207466.

It is an arithmetic number, because the mean of its divisors is an integer number (437462890800).

Almost surely, 214415013420431 is an apocalyptic number.

14415013420431 is a deficient number, since it is larger than the sum of its proper divisors (6583205337969).

14415013420431 is a wasteful number, since it uses less digits than its factorization.

14415013420431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556416 (or 556403 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 14415013420431 its reverse (13402431051441), we get a palindrome (27817444471872).

The spelling of 14415013420431 in words is "fourteen trillion, four hundred fifteen billion, thirteen million, four hundred twenty thousand, four hundred thirty-one".

Divisors: 1 3 13 39 169 199 257 507 597 771 2587 3341 7761 10023 33631 43433 51143 100893 130299 153429 555931 664859 1667793 1994577 7227103 8643167 21681309 25929501 93952339 110630269 142874267 281857017 331890807 428622801 1438193497 1857365471 4314580491 5572096413 18696515461 24145751123 28431979133 56089546383 72437253369 85295937399 369615728729 1108847186187 4805004473477 14415013420431