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311112411004404 = 223371106138240173
BaseRepresentation
bin100011010111101001000000…
…0101111100011110111110100
31111210120001111211201221211000
41012233102000233203313310
5311234231204204120104
63021403022445443300
7122350062366512262
oct10657220057436764
91453501454657730
10311112411004404
119014803a367869
122aa87804b70530
1310479a0b695499
1456b7cc7477432
1525e7b33b0c639
hex11af480be3df4

311112411004404 has 96 divisors (see below), whose sum is σ = 818719066126080. Its totient is φ = 102147147446400.

The previous prime is 311112411004391. The next prime is 311112411004433. The reversal of 311112411004404 is 404400114211113.

311112411004404 is a `hidden beast` number, since 3 + 1 + 1 + 1 + 1 + 241 + 10 + 0 + 4 + 404 = 666.

It is a super-2 number, since 2×3111124110044042 (a number of 30 digits) contains 22 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10984339 + ... + 27255834.

It is an arithmetic number, because the mean of its divisors is an integer number (8528323605480).

Almost surely, 2311112411004404 is an apocalyptic number.

It is an amenable number.

311112411004404 is an abundant number, since it is smaller than the sum of its proper divisors (507606655121676).

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

311112411004404 is a wasteful number, since it uses less digits than its factorization.

311112411004404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38241318 (or 38241310 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 311112411004404 its reverse (404400114211113), we get a palindrome (715512525215517).

The spelling of 311112411004404 in words is "three hundred eleven trillion, one hundred twelve billion, four hundred eleven million, four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 213 284 426 639 852 1061 1278 1917 2122 2556 3183 3834 4244 6366 7668 9549 12732 19098 28647 38196 57294 75331 114588 150662 225993 301324 451986 677979 903972 1355958 2033937 2711916 4067874 8135748 38240173 76480346 114720519 152960692 229441038 344161557 458882076 688323114 1032484671 1376646228 2064969342 2715052283 4129938684 5430104566 8145156849 10860209132 16290313698 24435470547 32580627396 40572823553 48870941094 73306411641 81145647106 97741882188 121718470659 146612823282 162291294212 243436941318 293225646564 365155411977 486873882636 730310823954 1095466235931 1460621647908 2190932471862 2880670472263 4381864943724 5761340944526 8642011416789 11522681889052 17284022833578 25926034250367 34568045667156 51852068500734 77778102751101 103704137001468 155556205502202 311112411004404