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13311142330040 = 235677368038961
BaseRepresentation
bin1100000110110011110111…
…1010001111111010111000
31202010112101101200120100222
43001230331322033322320
53221042204414030130
644151015424315212
72542461341643212
oct301547572177270
952115341616328
1013311142330040
114272250908515
1215ab956772b08
1375730a056409
14340396cc75b2
151813c014bce5
hexc1b3de8feb8

13311142330040 has 64 divisors (see below), whose sum is σ = 30813485110560. Its totient is φ = 5173138206720.

The previous prime is 13311142330027. The next prime is 13311142330049. The reversal of 13311142330040 is 4003324111331.

It is a junction number, because it is equal to n+sod(n) for n = 13311142329991 and 13311142330009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311142330049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33823841 + ... + 34215120.

Almost surely, 213311142330040 is an apocalyptic number.

13311142330040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13311142330040 is an abundant number, since it is smaller than the sum of its proper divisors (17502342780520).

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

13311142330040 is a wasteful number, since it uses less digits than its factorization.

13311142330040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68039112 (or 68039108 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 13311142330040 its reverse (4003324111331), we get a palindrome (17314466441371).

The spelling of 13311142330040 in words is "thirteen trillion, three hundred eleven billion, one hundred forty-two million, three hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 67 73 134 146 268 292 335 365 536 584 670 730 1340 1460 2680 2920 4891 9782 19564 24455 39128 48910 97820 195640 68038961 136077922 272155844 340194805 544311688 680389610 1360779220 2721558440 4558610387 4966844153 9117220774 9933688306 18234441548 19867376612 22793051935 24834220765 36468883096 39734753224 45586103870 49668441530 91172207740 99336883060 182344415480 198673766120 332778558251 665557116502 1331114233004 1663892791255 2662228466008 3327785582510 6655571165020 13311142330040