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114222044322243 = 3311133440939703
BaseRepresentation
bin11001111110001001100100…
…011000001001100111000011
3112222102112001122210202201000
4121332021210120021213003
5104432403221321302433
61042532514402143043
733026161511235024
oct3176114430114703
9488375048722630
10114222044322243
113343832a2915a0
1210988bb7651a83
134b97128489000
14202c53ad5cc4b
15d3129e0c8113
hex67e2646099c3

114222044322243 has 128 divisors (see below), whose sum is σ = 200028116736000. Its totient is φ = 63884342096640.

The previous prime is 114222044322229. The next prime is 114222044322289. The reversal of 114222044322243 is 342223440222411.

114222044322243 is a `hidden beast` number, since 1 + 1 + 422 + 2 + 0 + 4 + 4 + 3 + 2 + 224 + 3 = 666.

It is not a de Polignac number, because 114222044322243 - 230 = 114220970580419 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114222044322198 and 114222044322207.

It is not an unprimeable number, because it can be changed into a prime (114222044322293) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2876892330 + ... + 2876932032.

It is an arithmetic number, because the mean of its divisors is an integer number (1562719662000).

Almost surely, 2114222044322243 is an apocalyptic number.

114222044322243 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

114222044322243 is a deficient number, since it is larger than the sum of its proper divisors (85806072413757).

114222044322243 is a wasteful number, since it uses less digits than its factorization.

114222044322243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44171 (or 44139 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 114222044322243 its reverse (342223440222411), we get a palindrome (456445484544654).

The spelling of 114222044322243 in words is "one hundred fourteen trillion, two hundred twenty-two billion, forty-four million, three hundred twenty-two thousand, two hundred forty-three".

Divisors: 1 3 9 11 13 27 33 39 99 117 143 169 297 351 429 507 1287 1521 1859 2197 3861 4409 4563 5577 6591 13227 16731 19773 24167 39681 39703 48499 50193 57317 59319 72501 119043 119109 145497 171951 217503 357327 436491 436733 515853 516139 630487 652509 745121 1071981 1309473 1310199 1547559 1548417 1891461 2235363 3930597 4645251 5674383 5677529 6706089 6709807 8196331 9686573 11791791 13935753 17023149 17032587 20118267 20129421 24588993 29059719 51097761 60388263 73766979 73807877 87179157 87227491 106552303 153293283 175050527 181164789 221300937 221423631 261537471 261682473 319656909 525151581 664270893 785047419 958970727 959502401 1575454743 1925555797 1992812679 2275656851 2355142257 2876912181 2878507203 4726364229 5776667391 6826970553 8635521609 17330002173 20480911659 25032225361 25906564827 29583539063 51990006519 61442734977 75096676083 88750617189 225290028249 266251851567 325418929693 384586007819 675870084747 798755554701 976256789079 1153758023457 2928770367237 3461274070371 4230446086009 8786311101711 10383822211113 12691338258027 38074014774081 114222044322243