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316264260513420 = 2232519313036986761
BaseRepresentation
bin100011111101001000000001…
…0111001110010111010001100
31112110210120100002111101111200
41013322100002321302322030
5312423133201142412140
63040345443500145500
7123421224130014312
oct10772200271627214
91473716302441450
10316264260513420
1191853a13081a1a
122b57a170b38290
1310761790241a1b
1458153b40940b2
152686b5c496030
hex11fa402e72e8c

316264260513420 has 144 divisors (see below), whose sum is σ = 965045774626752. Its totient is φ = 83835754168320.

The previous prime is 316264260513373. The next prime is 316264260513449. The reversal of 316264260513420 is 24315062462613.

316264260513420 is a `hidden beast` number, since 3 + 1 + 6 + 2 + 6 + 4 + 2 + 605 + 1 + 34 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41772840 + ... + 48759600.

Almost surely, 2316264260513420 is an apocalyptic number.

316264260513420 is a gapful number since it is divisible by the number (30) 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 316264260513420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482522887313376).

316264260513420 is an abundant number, since it is smaller than the sum of its proper divisors (648781514113332).

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

316264260513420 is a wasteful number, since it uses less digits than its factorization.

316264260513420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6988272 (or 6988267 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 316264260513420 in words is "three hundred sixteen trillion, two hundred sixty-four billion, two hundred sixty million, five hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 193 386 579 772 965 1158 1303 1737 1930 2316 2606 2895 3474 3860 3909 5212 5790 6515 6948 7818 8685 11580 11727 13030 15636 17370 19545 23454 26060 34740 39090 46908 58635 78180 117270 234540 251479 502958 754437 1005916 1257395 1508874 2263311 2514790 3017748 3772185 4526622 5029580 6986761 7544370 9053244 11316555 13973522 15088740 20960283 22633110 27947044 34933805 41920566 45266220 62880849 69867610 83841132 104801415 125761698 139735220 209602830 251523396 314404245 419205660 628808490 1257616980 1348444873 2696889746 4045334619 5393779492 6742224365 8090669238 9103749583 12136003857 13484448730 16181338476 18207499166 20226673095 24272007714 26968897460 27311248749 36414998332 40453346190 45518747915 48544015428 54622497498 60680019285 80906692380 81933746247 91037495830 109244994996 121360038570 136556243745 163867492494 182074991660 242720077140 273112487490 327734984988 409668731235 546224974980 819337462470 1638674924940 1757023669519 3514047339038 5271071008557 7028094678076 8785118347595 10542142017114 15813213025671 17570236695190 21084284034228 26355355042785 31626426051342 35140473390380 52710710085570 63252852102684 79066065128355 105421420171140 158132130256710 316264260513420