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13231113432414 = 23179756314511637
BaseRepresentation
bin1100000010001001101111…
…0100001110110101011110
31201211212211001012100021120
43000202123310032311132
53213234310014314124
644050142315311410
72533626216354033
oct300423364166536
951755731170246
1013231113432414
1142413136641a9
12159834114b566
1374c8c4c44317
1433a56438938a
1517e289370d79
hexc089bd0ed5e

13231113432414 has 128 divisors (see below), whose sum is σ = 28394841226752. Its totient is φ = 4095517900800.

The previous prime is 13231113432379. The next prime is 13231113432419. The reversal of 13231113432414 is 41423431113231.

It is a happy number.

13231113432414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132311134324142 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13231113432419) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8082536404 + ... + 8082538040.

It is an arithmetic number, because the mean of its divisors is an integer number (221834697084).

Almost surely, 213231113432414 is an apocalyptic number.

13231113432414 is an abundant number, since it is smaller than the sum of its proper divisors (15163727794338).

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

13231113432414 is a wasteful number, since it uses less digits than its factorization.

13231113432414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3770.

The product of its digits is 20736, while the sum is 33.

Adding to 13231113432414 its reverse (41423431113231), we get a palindrome (54654544545645).

The spelling of 13231113432414 in words is "thirteen trillion, two hundred thirty-one billion, one hundred thirteen million, four hundred thirty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 17 34 51 97 102 194 291 563 582 1126 1451 1637 1649 1689 2902 3274 3298 3378 4353 4911 4947 8706 9571 9822 9894 19142 24667 27829 28713 49334 54611 55658 57426 74001 83487 109222 140747 148002 158789 163833 166974 281494 317578 327666 422241 476367 816913 844482 921631 928387 952734 1633826 1843262 1856774 2375287 2392699 2450739 2699413 2764893 2785161 4750574 4785398 4901478 5398826 5529786 5570322 7125861 7178097 8098239 13887521 14251722 14356194 15667727 16196478 27775042 31335454 40379879 41662563 47003181 79240561 80759758 83325126 89398207 94006362 121139637 158481122 178796414 230402839 237721683 242279274 268194621 460805678 475443366 536389242 691208517 1337286581 1347089537 1382417034 1519769519 2674573162 2694179074 3039539038 3916848263 4011859743 4041268611 4559308557 7833696526 8023719486 8082537222 9118617114 11750544789 22733871877 23501089578 45467743754 68201615631 129716798357 136403231262 259433596714 389150395071 778300790142 2205185572069 4410371144138 6615556716207 13231113432414