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1311423140244 = 2237261257914177
BaseRepresentation
bin10011000101010110111…
…010010001000110010100
311122101000100000002202110
4103011112322101012110
5132441243310441434
62442243125111020
7163514200524300
oct23052672210624
94571010002673
101311423140244
114661981a0568
121921b4b58470
13968888a5c19
144768a724d00
15241a6be94e9
hex13156e91194

1311423140244 has 144 divisors (see below), whose sum is σ = 3619588956480. Its totient is φ = 368380938240.

The previous prime is 1311423140239. The next prime is 1311423140249. The reversal of 1311423140244 is 4420413241131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1311423140239) and next prime (1311423140249).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311423140249) 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, 92496484 + ... + 92510660.

It is an arithmetic number, because the mean of its divisors is an integer number (25136034420).

Almost surely, 21311423140244 is an apocalyptic number.

1311423140244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311423140244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809794478240).

1311423140244 is an abundant number, since it is smaller than the sum of its proper divisors (2308165816236).

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

1311423140244 is a wasteful number, since it uses less digits than its factorization.

1311423140244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16838 (or 16829 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 1311423140244 its reverse (4420413241131), we get a palindrome (5731836381375).

The spelling of 1311423140244 in words is "one trillion, three hundred eleven billion, four hundred twenty-three million, one hundred forty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 61 84 98 122 147 183 196 244 294 366 427 588 732 854 1281 1708 2562 2579 2989 5124 5158 5978 7737 8967 10316 11956 14177 15474 17934 18053 28354 30948 35868 36106 42531 54159 56708 72212 85062 99239 108318 126371 157319 170124 198478 216636 252742 297717 314638 379113 396956 471957 505484 595434 629276 694673 758226 864797 943914 1101233 1190868 1389346 1516452 1729594 1887828 2084019 2202466 2594391 2778692 3303699 3459188 4168038 4404932 5188782 6053579 6607398 7708631 8336076 10377564 12107158 13214796 15417262 18160737 23125893 24214316 30834524 36321474 36562483 42375053 46251786 72642948 73124966 84750106 92503572 109687449 127125159 146249932 169500212 219374898 254250318 255937381 438749796 508500636 511874762 767812143 1023749524 1535624286 1791561667 2230311463 3071248572 3583123334 4460622926 5374685001 6690934389 7166246668 8921245852 10749370002 13381868778 15612180241 21498740004 26763737556 31224360482 46836540723 62448720964 93673081446 109285261687 187346162892 218570523374 327855785061 437141046748 655711570122 1311423140244