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1311443541342 = 23211171373283769
BaseRepresentation
bin10011000101011000001…
…000000101110101011110
311122101001202101120210200
4103011120020011311132
5132441314021310332
62442245134244330
7163514536113564
oct23053010056536
94571052346720
101311443541342
114661a8765180
121921bb9566a6
139688cb99a8c
144768d315a34
15241a88c917c
hex13158205d5e

1311443541342 has 96 divisors (see below), whose sum is σ = 3284517431520. Its totient is φ = 373756508160.

The previous prime is 1311443541341. The next prime is 1311443541371. The reversal of 1311443541342 is 2431453441131.

1311443541342 is a `hidden beast` number, since 1 + 31 + 1 + 4 + 43 + 541 + 3 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1311443541297 and 1311443541306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311443541341) 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, 4479634 + ... + 4763402.

It is an arithmetic number, because the mean of its divisors is an integer number (34213723245).

Almost surely, 21311443541342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311443541342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642258715760).

1311443541342 is an abundant number, since it is smaller than the sum of its proper divisors (1973073890178).

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

1311443541342 is a wasteful number, since it uses less digits than its factorization.

1311443541342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285178 (or 285175 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 1311443541342 its reverse (2431453441131), we get a palindrome (3742896982473).

The spelling of 1311443541342 in words is "one trillion, three hundred eleven billion, four hundred forty-three million, five hundred forty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1373 1683 2746 3366 4119 8238 12357 15103 23341 24714 30206 45309 46682 70023 90618 135927 140046 210069 256751 271854 283769 420138 513502 567538 770253 851307 1540506 1702614 2310759 2553921 3121459 4621518 4824073 5107842 6242918 9364377 9648146 14472219 18728754 28093131 28944438 43416657 53064803 56186262 86833314 106129606 159194409 318388818 389614837 477583227 779229674 955166454 1168844511 2337689022 3506533533 4285763207 6623452229 7013067066 8571526414 12857289621 13246904458 19870356687 25714579242 38571868863 39740713374 59611070061 72857974519 77143737726 119222140122 145715949038 218573923557 437147847114 655721770671 1311443541342