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1313302440032 = 251173173295429
BaseRepresentation
bin10011000111000110111…
…011001110100001100000
311122112212022020102102022
4103013012323032201200
5133004120411040112
62443153421041012
7163611600360362
oct23070673164140
94575768212368
101313302440032
11466a71a98290
1219263a3b6168
1396ac803c72b
14477c8160d32
1524266bb8d72
hex131c6ece860

1313302440032 has 96 divisors (see below), whose sum is σ = 2875791250080. Its totient is φ = 585372856320.

The previous prime is 1313302440011. The next prime is 1313302440041. The reversal of 1313302440032 is 2300442033131.

It is a super-2 number, since 2×13133024400322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1313302439983 and 1313302440010.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4297694 + ... + 4593122.

It is an arithmetic number, because the mean of its divisors is an integer number (29956158855).

Almost surely, 21313302440032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313302440032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437895625040).

1313302440032 is an abundant number, since it is smaller than the sum of its proper divisors (1562488810048).

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

1313302440032 is a wasteful number, since it uses less digits than its factorization.

1313302440032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295696 (or 295688 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 1313302440032 its reverse (2300442033131), we get a palindrome (3613744473163).

The spelling of 1313302440032 in words is "one trillion, three hundred thirteen billion, three hundred two million, four hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 73 88 146 173 176 292 346 352 584 692 803 1168 1384 1606 1903 2336 2768 3212 3806 5536 6424 7612 12629 12848 15224 25258 25696 30448 50516 60896 101032 138919 202064 277838 295429 404128 555676 590858 1111352 1181716 2222704 2363432 3249719 4445408 4726864 6499438 9453728 12998876 21566317 25997752 43132634 51109217 51995504 86265268 102218434 103991008 172530536 204436868 237229487 345061072 408873736 474458974 562201387 690122144 817747472 948917948 1124402774 1635494944 1897835896 2248805548 3730972841 3795671792 4497611096 7461945682 7591343584 8995222192 14923891364 17990444384 29847782728 41040701251 59695565456 82081402502 119391130912 164162805004 328325610008 656651220016 1313302440032