Search a number
-
+
317955331144 = 2311291572113761
BaseRepresentation
bin1001010000001111001…
…11010101010001001000
31010101200212001100121201
410220013213111101020
520202133031044034
6402022222113544
731654141502503
oct4500747252110
91111625040551
10317955331144
1111293154a350
125175671b8b4
1323ca1a1c4c9
1411563a6213a
15840db92014
hex4a079d5448

317955331144 has 128 divisors (see below), whose sum is σ = 680464540800. Its totient is φ = 137958912000.

The previous prime is 317955331091. The next prime is 317955331181. The reversal of 317955331144 is 441133559713.

It is a junction number, because it is equal to n+sod(n) for n = 317955331094 and 317955331103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84538224 + ... + 84541984.

It is an arithmetic number, because the mean of its divisors is an integer number (5316129225).

Almost surely, 2317955331144 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 317955331144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340232270400).

317955331144 is an abundant number, since it is smaller than the sum of its proper divisors (362509209656).

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

317955331144 is a wasteful number, since it uses less digits than its factorization.

317955331144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4175 (or 4171 counting only the distinct ones).

The product of its digits is 680400, while the sum is 46.

The spelling of 317955331144 in words is "three hundred seventeen billion, nine hundred fifty-five million, three hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 157 211 232 314 319 422 628 638 844 1256 1276 1688 1727 2321 2552 3454 3761 4553 4642 6119 6908 7522 9106 9284 12238 13816 15044 18212 18568 24476 30088 33127 36424 41371 48952 50083 66254 67309 82742 100166 109069 132508 134618 165484 200332 218138 265016 269236 330968 364397 400664 436276 538472 590477 728794 793571 872552 960683 1180954 1199759 1457588 1587142 1921366 2361908 2399518 2915176 3174284 3842732 4723816 4799036 6348568 6495247 7685464 8729281 9598072 10567513 12990494 17123833 17458562 21135026 23013559 25980988 34247666 34917124 42270052 46027118 51961976 68495332 69834248 84540104 92054236 124590647 136990664 184108472 188362163 249181294 253149149 376724326 498362588 506298298 753448652 996725176 1012596596 1370497117 1506897304 2025193192 2740994234 3613128763 5481988468 7226257526 10963976936 14452515052 28905030104 39744416393 79488832786 158977665572 317955331144