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114223150041 = 371113192278819
BaseRepresentation
bin110101001100000111…
…0101111001111011001
3101220211102000020010120
41222120032233033121
53332412111300131
6124250130303453
711152361520150
oct1523016571731
9356742006116
10114223150041
1144494a99260
121a179127b89
13aa0441ca60
145758024597
152e87c4b496
hex1a983af3d9

114223150041 has 128 divisors (see below), whose sum is σ = 216218419200. Its totient is φ = 51655138560.

The previous prime is 114223150039. The next prime is 114223150051. The reversal of 114223150041 is 140051322411.

It is not a de Polignac number, because 114223150041 - 21 = 114223150039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114223149993 and 114223150020.

It is not an unprimeable number, because it can be changed into a prime (114223150001) 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, 12947530 + ... + 12956348.

It is an arithmetic number, because the mean of its divisors is an integer number (1689206400).

Almost surely, 2114223150041 is an apocalyptic number.

114223150041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114223150041 is a deficient number, since it is larger than the sum of its proper divisors (101995269159).

114223150041 is a wasteful number, since it uses less digits than its factorization.

114223150041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9099.

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 114223150041 its reverse (140051322411), we get a palindrome (254274472452).

The spelling of 114223150041 in words is "one hundred fourteen billion, two hundred twenty-three million, one hundred fifty thousand, forty-one".

Divisors: 1 3 7 11 13 19 21 33 39 57 77 91 133 143 209 227 231 247 273 399 429 627 681 741 1001 1463 1589 1729 2497 2717 2951 3003 4313 4389 4767 5187 7491 8151 8819 8853 12939 17479 19019 20657 26457 30191 32461 47443 52437 56069 57057 61733 61971 90573 97009 97383 114647 142329 167561 168207 185199 227227 291027 332101 343941 392483 502683 616759 679063 681681 802529 996303 1172927 1177449 1261117 1843171 1850277 2001913 2037189 2178293 2407587 3518781 3783351 4317313 5529513 6005739 6534879 8827819 12902197 12951939 14013391 15248051 22021043 23961223 26024869 26483457 38036347 38706591 42040173 45744153 66063129 71883669 78074607 114109041 154147301 167728561 182174083 266254429 286273559 418399817 462441903 494472511 503185683 546522249 798763287 858820677 1255199451 1483417533 2003914913 2928798719 3461307577 5439197621 6011744739 8786396157 10383922731 16317592863 38074383347 114223150041