Search a number
-
+
318454116200 = 235211213796053
BaseRepresentation
bin1001010001001010101…
…10000010111101101000
31010102222121121021002022
410220211112002331220
520204143223204300
6402143520524012
732002406216363
oct4504526027550
91112877537068
10318454116200
11113068056a00
1251875780608
132405116a5ac
14115addbd0da
15843c86a285
hex4a25582f68

318454116200 has 144 divisors (see below), whose sum is σ = 819783428940. Its totient is φ = 114955033600.

The previous prime is 318454116199. The next prime is 318454116203. The reversal of 318454116200 is 2611454813.

It can be written as a sum of positive squares in 6 ways, for example, as 108189682084 + 210264434116 = 328922^2 + 458546^2 .

It is not an unprimeable number, because it can be changed into a prime (318454116203) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 3267374 + ... + 3363426.

Almost surely, 2318454116200 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 318454116200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409891714470).

318454116200 is an abundant number, since it is smaller than the sum of its proper divisors (501329312740).

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

318454116200 is a wasteful number, since it uses less digits than its factorization.

318454116200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96228 (or 96208 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The spelling of 318454116200 in words is "three hundred eighteen billion, four hundred fifty-four million, one hundred sixteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 137 200 220 242 274 275 440 484 548 550 605 685 968 1096 1100 1210 1370 1507 2200 2420 2740 3014 3025 3425 4840 5480 6028 6050 6850 7535 12056 12100 13700 15070 16577 24200 27400 30140 33154 37675 60280 66308 75350 82885 96053 132616 150700 165770 192106 301400 331540 384212 414425 480265 663080 768424 828850 960530 1056583 1657700 1921060 2113166 2401325 3315400 3842120 4226332 4802650 5282915 8452664 9605300 10565830 11622413 13159261 19210600 21131660 23244826 26318522 26414575 42263320 46489652 52637044 52829150 58112065 65796305 92979304 105274088 105658300 116224130 131592610 144751871 211316600 232448260 263185220 289503742 290560325 328981525 464896520 526370440 579007484 581120650 657963050 723759355 1158014968 1162241300 1315926100 1447518710 1592270581 2324482600 2631852200 2895037420 3184541162 3618796775 5790074840 6369082324 7237593550 7961352905 12738164648 14475187100 15922705810 28950374200 31845411620 39806764525 63690823240 79613529050 159227058100 318454116200