Search a number
-
+
1313422302240 = 25325912098821
BaseRepresentation
bin10011000111001110000…
…100011101110000100000
311122120011122210001110100
4103013032010131300200
5133004342102132430
62443213342102400
7163614554236026
oct23071604356040
94576148701410
101313422302240
11467023715564
1219267257aa00
1396b16b18a09
14477da042716
1524272493960
hex131ce11dc20

1313422302240 has 72 divisors (see below), whose sum is σ = 4482053611308. Its totient is φ = 350245946880.

The previous prime is 1313422302239. The next prime is 1313422302251. The reversal of 1313422302240 is 422032243131.

1313422302240 is a `hidden beast` number, since 1 + 3 + 13 + 422 + 3 + 0 + 224 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1294215668496 + 19206633744 = 1137636^2 + 138588^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 456047971 + ... + 456050850.

Almost surely, 21313422302240 is an apocalyptic number.

1313422302240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313422302240 is an abundant number, since it is smaller than the sum of its proper divisors (3168631309068).

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

1313422302240 is a wasteful number, since it uses less digits than its factorization.

1313422302240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912098842 (or 912098831 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1313422302240 its reverse (422032243131), we get a palindrome (1735454545371).

The spelling of 1313422302240 in words is "one trillion, three hundred thirteen billion, four hundred twenty-two million, three hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 912098821 1824197642 2736296463 3648395284 4560494105 5472592926 7296790568 8208889389 9120988210 10945185852 13681482315 14593581136 16417778778 18241976420 21890371704 27362964630 29187162272 32835557556 36483952840 41044446945 43780743408 54725929260 65671115112 72967905680 82088893890 87561486816 109451858520 131342230224 145935811360 164177787780 218903717040 262684460448 328355575560 437807434080 656711151120 1313422302240