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114104343401411 = 1121719231031232393
BaseRepresentation
bin11001111100011011111100…
…110110110001001111000011
3112222000021020212202110220212
4121330123330312301033003
5104423441143402321121
61042402451155024335
733014524000020236
oct3174337466611703
9488007225673825
10114104343401411
11333a2420179700
121096a22989b0ab
134b88cbb6b391c
1420269730c541d
15d2d1b0db125b
hex67c6fcdb13c3

114104343401411 has 96 divisors (see below), whose sum is σ = 147281533701120. Its totient is φ = 87610648688640.

The previous prime is 114104343401393. The next prime is 114104343401413.

114104343401411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 114104343401411 - 210 = 114104343400387 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114104343401413) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91971431 + ... + 93203823.

It is an arithmetic number, because the mean of its divisors is an integer number (1534182642720).

Almost surely, 2114104343401411 is an apocalyptic number.

114104343401411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114104343401411 is a deficient number, since it is larger than the sum of its proper divisors (33177190299709).

114104343401411 is a wasteful number, since it uses less digits than its factorization.

114104343401411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232577 (or 1232566 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 114104343401411 in words is "one hundred fourteen trillion, one hundred four billion, three hundred forty-three million, four hundred one thousand, four hundred eleven".

Divisors: 1 11 17 19 23 103 121 187 209 253 323 391 437 1133 1751 1957 2057 2299 2369 2783 3553 4301 4807 7429 12463 19261 21527 26059 33269 39083 40273 45011 47311 52877 81719 211871 236797 286649 365959 443003 495121 765187 898909 1232393 4025549 4873033 5446331 8417057 13556323 20950681 23415467 28345039 92587627 126936479 149119553 230457491 257570137 311795429 398062939 481865663 538555741 1396301269 2157920143 2411793101 2535032401 2833271507 2919539017 3429749719 4378692329 5300522293 5924113151 9155447597 15359313959 23737121573 26529724111 32114929187 41000482717 48165615619 49632163289 55471241323 58305745223 65165244661 100709923567 261108337303 291826965221 353264221057 451005309887 545953796179 610183654553 943011102491 1107809159237 4961058408757 6005491757969 6712020200083 10373122127401 114104343401411