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13414400531343 = 347194021309671
BaseRepresentation
bin1100001100110100100010…
…0101000001101110001111
31202111101220122012200120000
43003031020211001232033
53224240143014000333
644310253542055343
72553105231114660
oct303151045015617
952441818180500
1013414400531343
114302019429469
12160797371a553
13763c848a1a06
14345390963367
15183e1542e713
hexc3348941b8f

13414400531343 has 80 divisors (see below), whose sum is σ = 24112895178240. Its totient is φ = 7260101668800.

The previous prime is 13414400531333. The next prime is 13414400531359. The reversal of 13414400531343 is 34313500441431.

13414400531343 is a `hidden beast` number, since 1 + 3 + 41 + 4 + 40 + 0 + 531 + 3 + 43 = 666.

It is not a de Polignac number, because 13414400531343 - 210 = 13414400530319 is a prime.

It is a super-2 number, since 2×134144005313432 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13414400531298 and 13414400531307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13414400531333) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43163398 + ... + 43473068.

It is an arithmetic number, because the mean of its divisors is an integer number (301411189728).

Almost surely, 213414400531343 is an apocalyptic number.

13414400531343 is a deficient number, since it is larger than the sum of its proper divisors (10698494646897).

13414400531343 is a wasteful number, since it uses less digits than its factorization.

13414400531343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313730 (or 313721 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 13414400531343 its reverse (34313500441431), we get a palindrome (47727900972774).

The spelling of 13414400531343 in words is "thirteen trillion, four hundred fourteen billion, four hundred million, five hundred thirty-one thousand, three hundred forty-three".

Divisors: 1 3 7 9 19 21 27 57 63 81 133 171 189 399 513 567 1197 1539 3591 4021 10773 12063 28147 36189 76399 84441 108567 229197 253323 309671 325701 534793 687591 759969 929013 1604379 2062773 2167697 2279907 2787039 4813137 5883749 6188319 6503091 8361117 14439411 17651247 19509273 25083351 41186243 43318233 52953741 58527819 123558729 158861223 175583457 370676187 476583669 1112028561 1245187091 3336085683 3735561273 8716309637 11206683819 23658554729 26148928911 33620051457 70975664187 78446786733 100860154371 165609883103 212926992561 235340360199 496829649309 638780977683 706021080597 1490488947927 1916342933049 4471466843781 13414400531343