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1343454543431 = 711213294397843
BaseRepresentation
bin10011100011001100001…
…000010111111001000111
311202102200122201222102122
4103203030020113321013
5134002343330342211
62505101405200155
7166030025126360
oct23431410277107
94672618658378
101343454543431
1147883507a900
1219845426005b
13998c1a8bc30
1449048880b67
1524e2dd3a6db
hex138cc217e47

1343454543431 has 96 divisors (see below), whose sum is σ = 1923879175680. Its totient is φ = 911292560640.

The previous prime is 1343454543421. The next prime is 1343454543479.

1343454543431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1343454543431 - 214 = 1343454527047 is a prime.

It is a super-2 number, since 2×13434545434312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1343454543401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13681796 + ... + 13779638.

It is an arithmetic number, because the mean of its divisors is an integer number (20040408080).

Almost surely, 21343454543431 is an apocalyptic number.

1343454543431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1343454543431 is a deficient number, since it is larger than the sum of its proper divisors (580424632249).

1343454543431 is a wasteful number, since it uses less digits than its factorization.

1343454543431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97957 (or 97946 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 44.

The spelling of 1343454543431 in words is "one trillion, three hundred forty-three billion, four hundred fifty-four million, five hundred forty-three thousand, four hundred thirty-one".

Divisors: 1 7 11 13 29 43 77 91 121 143 203 301 319 377 473 559 847 1001 1247 1573 2233 2639 3311 3509 3913 4147 5203 6149 8729 11011 13717 16211 24563 29029 36421 43043 45617 67639 96019 97843 113477 150887 178321 319319 473473 684901 1056209 1076273 1248247 1271959 1961531 2837447 4207249 7533911 8903713 11839003 13730717 13991549 19862129 29450743 31211917 36886811 46279739 54694237 82873021 97940843 122010221 153907039 218483419 258207677 323958173 343331087 382859659 405754921 509077129 601636607 854071547 1077349273 1342112431 1586132873 2403317609 2840284447 3563539903 4211456249 4463304131 6618002677 9394787017 11102930111 14763236741 17447461603 31243128917 46326018739 103342657187 122132231221 191922077633 1343454543431