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1343368633431 = 3112377321372
BaseRepresentation
bin10011100011000111000…
…000101001110001010111
311202102110200002022001210
4103203013000221301113
5134002204332232211
62505045055552503
7166024632660036
oct23430700516127
94672420068053
101343368633431
114787a0632400
1219842b52b733
13998aa03c806
144903b2ba71d
1524e2651a9a6
hex138c7029c57

1343368633431 has 108 divisors (see below), whose sum is σ = 2065155796536. Its totient is φ = 775603952640.

The previous prime is 1343368633391. The next prime is 1343368633487.

1343368633431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1343368633431 - 218 = 1343368371287 is a prime.

It is a super-4 number, since 4×13433686334314 (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1343368633031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9805610395 + ... + 9805610531.

Almost surely, 21343368633431 is an apocalyptic number.

1343368633431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1343368633431 is a deficient number, since it is larger than the sum of its proper divisors (721787163105).

1343368633431 is an equidigital number, since it uses as much as digits as its factorization.

1343368633431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 261 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 48.

The spelling of 1343368633431 in words is "one trillion, three hundred forty-three billion, three hundred sixty-eight million, six hundred thirty-three thousand, four hundred thirty-one".

Divisors: 1 3 11 33 37 73 111 121 137 219 363 407 411 803 1221 1507 2409 2701 4477 4521 5069 5329 8103 8833 10001 13431 15207 15987 16577 18769 26499 29711 30003 49731 55759 56307 58619 89133 110011 167277 175857 197173 206459 326821 330033 370037 591519 613349 619377 644809 694453 730073 980463 1110111 1210121 1370137 1840047 1934427 2083359 2168903 2190219 2271049 3630363 4070407 4110411 6506709 6813147 7638983 8030803 12211221 15071507 22916949 23857933 24092409 27012701 44774477 45214521 50695069 71573799 81038103 84028813 88338833 100020001 134323431 152085207 165786577 252086439 265016499 297139711 300060003 497359731 557645759 891419133 1100220011 1672937277 3268536821 3300660033 3700740037 6134103349 9805610463 11102220111 12102420121 18402310047 36307260363 40708140407 122124421221 447789544477 1343368633431