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1313252412416 = 2107367499211
BaseRepresentation
bin10011000111000011111…
…100011000110000000000
311122112201211002202102122
4103013003330120300000
5133004020104144131
62443144432503412
7163610422216310
oct23070374306000
94575654082378
101313252412416
11466a4682884a
121926256aab68
1396aba8748a9
14477c165b440
15242625d5d7b
hex131c3f18c00

1313252412416 has 88 divisors (see below), whose sum is σ = 3008435222016. Its totient is φ = 561287761920.

The previous prime is 1313252412403. The next prime is 1313252412481. The reversal of 1313252412416 is 6142142523131.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2381051 + ... + 2880261.

Almost surely, 21313252412416 is an apocalyptic number.

1313252412416 is a gapful number since it is divisible by the number (16) 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 1313252412416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504217611008).

1313252412416 is an abundant number, since it is smaller than the sum of its proper divisors (1695182809600).

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

1313252412416 is an equidigital number, since it uses as much as digits as its factorization.

1313252412416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499605 (or 499587 counting only the distinct ones).

The product of its digits is 34560, while the sum is 35.

Adding to 1313252412416 its reverse (6142142523131), we get a palindrome (7455394935547).

The spelling of 1313252412416 in words is "one trillion, three hundred thirteen billion, two hundred fifty-two million, four hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 367 448 512 734 896 1024 1468 1792 2569 2936 3584 5138 5872 7168 10276 11744 20552 23488 41104 46976 82208 93952 164416 187904 328832 375808 499211 657664 998422 1315328 1996844 2630656 3494477 3993688 6988954 7987376 13977908 15974752 27955816 31949504 55911632 63899008 111823264 127798016 183210437 223646528 255596032 366420874 447293056 511192064 732841748 894586112 1282473059 1465683496 1789172224 2564946118 2931366992 3578344448 5129892236 5862733984 10259784472 11725467968 20519568944 23450935936 41039137888 46901871872 82078275776 93803743744 164156551552 187607487488 328313103104 656626206208 1313252412416