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314341234311314 = 27173179896059623
BaseRepresentation
bin100011101111001000100010…
…1100111000000000010010010
31112012222201200002102121200002
41013132101011213000002102
5312200131321440430224
63032314211450530002
7123132255552005210
oct10736210547000222
91465881602377602
10314341234311314
1191182406a00841
122b30952b436902
1310652335b85832
14578a2a84b5cb0
152651b0be699ae
hex11de4459c0092

314341234311314 has 128 divisors (see below), whose sum is σ = 603131343667200. Its totient is φ = 119788546775040.

The previous prime is 314341234311271. The next prime is 314341234311329. The reversal of 314341234311314 is 413113432143413.

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 63 ways as a sum of consecutive naturals, for example, 48844907 + ... + 54904529.

It is an arithmetic number, because the mean of its divisors is an integer number (4711963622400).

Almost surely, 2314341234311314 is an apocalyptic number.

314341234311314 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

314341234311314 is a deficient number, since it is larger than the sum of its proper divisors (288790109355886).

314341234311314 is a wasteful number, since it uses less digits than its factorization.

314341234311314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6059848.

The product of its digits is 124416, while the sum is 38.

Adding to 314341234311314 its reverse (413113432143413), we get a palindrome (727454666454727).

The spelling of 314341234311314 in words is "three hundred fourteen trillion, three hundred forty-one billion, two hundred thirty-four million, three hundred eleven thousand, three hundred fourteen".

Divisors: 1 2 7 14 17 31 34 62 79 89 119 158 178 217 238 434 527 553 623 1054 1106 1246 1343 1513 2449 2686 2759 3026 3689 4898 5518 7031 7378 9401 10591 14062 17143 18802 19313 21182 34286 38626 41633 46903 49217 83266 93806 98434 119527 217961 239054 291431 328321 435922 582862 656642 836689 1525727 1673378 3051454 3705337 6059623 7410674 12119246 25937359 42417361 51874718 84834722 103013591 187848313 206027182 375696626 478710217 539306447 721095137 957420434 1078612894 1314938191 1442190274 2629876382 3193421321 3350971519 3775145129 6386842642 6701943038 7550290258 8138073689 9168209599 14840016727 16276147378 16718499857 18336419198 22353949247 29680033454 33436999714 42605209313 44707898494 56966515823 64177467193 85210418626 103880117089 113933031646 117029498999 128354934386 207760234178 234058997998 252280284359 284214497569 298236465191 504560568718 568428995138 596472930382 724288558321 1320761488703 1448577116642 1765961990513 1989501482983 2641522977406 3531923981026 3979002965966 5070019908247 9245330420921 10140039816494 18490660841842 22452945307951 44905890615902 157170617155657 314341234311314