Search a number
-
+
12313424333340 = 22325135262147151
BaseRepresentation
bin1011001100101111000101…
…0010001000101000011100
31121121011002201020220220200
42303023301102020220130
53103220343112131330
642104413053143500
72410421063622054
oct263136122105034
947534081226820
1012313424333340
113a18104031469
12146a510a8ab90
136b41c67a13b0
14307d89986564
15165478deea60
hexb32f1488a1c

12313424333340 has 72 divisors (see below), whose sum is σ = 40223852829888. Its totient is φ = 3030996758400.

The previous prime is 12313424333311. The next prime is 12313424333377. The reversal of 12313424333340 is 4333342431321.

12313424333340 is a `hidden beast` number, since 1 + 2 + 313 + 4 + 2 + 4 + 3 + 3 + 334 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12313424333295 and 12313424333304.

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 23 ways as a sum of consecutive naturals, for example, 2631071236 + ... + 2631075915.

Almost surely, 212313424333340 is an apocalyptic number.

12313424333340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12313424333340 is an abundant number, since it is smaller than the sum of its proper divisors (27910428496548).

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

12313424333340 is a wasteful number, since it uses less digits than its factorization.

12313424333340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5262147179 (or 5262147174 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 12313424333340 its reverse (4333342431321), we get a palindrome (16646766764661).

The spelling of 12313424333340 in words is "twelve trillion, three hundred thirteen billion, four hundred twenty-four million, three hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 5262147151 10524294302 15786441453 21048588604 26310735755 31572882906 47359324359 52621471510 63145765812 68407912963 78932207265 94718648718 105242943020 136815825926 157864414530 189437297436 205223738889 236796621795 273631651852 315728829060 342039564815 410447477778 473593243590 615671216667 684079129630 820894955556 947186487180 1026118694445 1231342433334 1368158259260 2052237388890 2462684866668 3078356083335 4104474777780 6156712166670 12313424333340