Search a number
-
+
311324114304 = 273474289629
BaseRepresentation
bin1001000011111000101…
…11001111110110000000
31002202120201020122020000
410201330113033312000
520100042433124204
6355004220120000
731330621211010
oct4417427176600
91082521218200
10311324114304
11110039389a55
1250405996000
1323485c48068
14110d50a1c40
158171922039
hex487c5cfd80

311324114304 has 160 divisors (see below), whose sum is σ = 1058852269200. Its totient is φ = 88949726208.

The previous prime is 311324114249. The next prime is 311324114327. The reversal of 311324114304 is 403411423113.

311324114304 is a `hidden beast` number, since 3 + 113 + 241 + 1 + 4 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 2072239 + ... + 2217390.

Almost surely, 2311324114304 is an apocalyptic number.

It is an amenable number.

311324114304 is an abundant number, since it is smaller than the sum of its proper divisors (747528154896).

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

311324114304 is an equidigital number, since it uses as much as digits as its factorization.

311324114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4289662 (or 4289641 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 311324114304 its reverse (403411423113), we get a palindrome (714735537417).

The spelling of 311324114304 in words is "three hundred eleven billion, three hundred twenty-four million, one hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1134 1152 1296 1344 1512 1728 2016 2268 2592 2688 3024 3456 4032 4536 5184 6048 8064 9072 10368 12096 18144 24192 36288 72576 4289629 8579258 12868887 17158516 25737774 30027403 34317032 38606661 51475548 60054806 68634064 77213322 90082209 102951096 115819983 120109612 137268128 154426644 180164418 205902192 231639966 240219224 270246627 274536256 308853288 347459949 360328836 411804384 463279932 480438448 540493254 549072512 617706576 694919898 720657672 810739881 823608768 926559864 960876896 1080986508 1235413152 1389839796 1441315344 1621479762 1647217536 1853119728 1921753792 2161973016 2432219643 2470826304 2779679592 2882630688 3242959524 3706239456 3843507584 4323946032 4864439286 4941652608 5559359184 5765261376 6485919048 7412478912 8647892064 9728878572 11118718368 11530522752 12971838096 14824957824 17295784128 19457757144 22237436736 25943676192 34591568256 38915514288 44474873472 51887352384 77831028576 103774704768 155662057152 311324114304