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314244032284 = 227213197757827
BaseRepresentation
bin1001001001010100110…
…01110110011100011100
31010001010012120211200101
410210222121312130130
520122032433013114
6400210044110444
731463155126300
oct4445231663434
91101105524611
10314244032284
111112a7622606
1250a9b835424
132382cb70a90
14112d0bbdd00
158292e47d74
hex492a67671c

314244032284 has 144 divisors (see below), whose sum is σ = 694169717472. Its totient is φ = 123372523008.

The previous prime is 314244032273. The next prime is 314244032351. The reversal of 314244032284 is 482230442413.

It is a super-2 number, since 2×3142440322842 (a number of 24 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 379980279 + ... + 379981105.

It is an arithmetic number, because the mean of its divisors is an integer number (4820623038).

Almost surely, 2314244032284 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 314244032284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347084858736).

314244032284 is an abundant number, since it is smaller than the sum of its proper divisors (379925685188).

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

314244032284 is a wasteful number, since it uses less digits than its factorization.

314244032284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 37.

Adding to 314244032284 its reverse (482230442413), we get a palindrome (796474474697).

The spelling of 314244032284 in words is "three hundred fourteen billion, two hundred forty-four million, thirty-two thousand, two hundred eighty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 197 364 394 637 757 788 827 1274 1379 1514 1654 2548 2561 2758 3028 3308 5122 5299 5516 5789 9653 9841 10244 10598 10751 11578 17927 19306 19682 21196 21502 23156 35854 37093 38612 39364 40523 43004 68887 71708 74186 75257 81046 125489 137774 148372 149129 150514 162092 162919 250978 275548 298258 301028 325838 482209 501956 526799 596516 626039 651676 964418 1043903 1053598 1140433 1252078 1928836 1938677 2087806 2107196 2117947 2280866 2504156 3877354 4175612 4235894 4382273 4561732 7307321 7754708 7983031 8138507 8471788 8764546 13570739 14614642 14825629 15966062 16277014 17529092 27141478 29229284 29651258 30675911 31932124 32554028 54282956 56969549 59302516 61351822 94995173 103779403 113939098 122703644 123329683 189990346 207558806 227878196 246659366 379980692 398786843 415117612 493318732 797573686 863307781 1595147372 1603285879 1726615562 3206571758 3453231124 6043154467 6413143516 11223001153 12086308934 22446002306 24172617868 44892004612 78561008071 157122016142 314244032284