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114224124042 = 232729179174637
BaseRepresentation
bin110101001100001001…
…0011101000010001010
3101220211110211201012200
41222120102131002022
53332412333432132
6124250203221030
711152403014620
oct1523022350212
9356743751180
10114224124042
11444955a4016
121a179517776
13aa046a11a2
1457581d9510
152e87d8ed7c
hex1a9849d08a

114224124042 has 96 divisors (see below), whose sum is σ = 294230102400. Its totient is φ = 31333889664.

The previous prime is 114224124029. The next prime is 114224124043. The reversal of 114224124042 is 240421422411.

114224124042 is a `hidden beast` number, since 1 + 14 + 2 + 241 + 2 + 404 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 114224123997 and 114224124015.

It is not an unprimeable number, because it can be changed into a prime (114224124043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 566748 + ... + 741384.

It is an arithmetic number, because the mean of its divisors is an integer number (3064896900).

Almost surely, 2114224124042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114224124042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147115051200).

114224124042 is an abundant number, since it is smaller than the sum of its proper divisors (180005978358).

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

114224124042 is a wasteful number, since it uses less digits than its factorization.

114224124042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174860 (or 174857 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 114224124042 its reverse (240421422411), we get a palindrome (354645546453).

The spelling of 114224124042 in words is "one hundred fourteen billion, two hundred twenty-four million, one hundred twenty-four thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 179 203 261 358 406 522 537 609 1074 1218 1253 1611 1827 2506 3222 3654 3759 5191 7518 10382 11277 15573 22554 31146 36337 46719 72674 93438 109011 174637 218022 327033 349274 523911 654066 1047822 1222459 1571733 2444918 3143466 3667377 5064473 7334754 10128946 11002131 15193419 22004262 30386838 31260023 35451311 45580257 62520046 70902622 91160514 93780069 106353933 187560138 212707866 218820161 281340207 319061799 437640322 562680414 638123598 656460483 906540667 1312920966 1813081334 1969381449 2719622001 3938762898 5439244002 6345784669 8158866003 12691569338 16317732006 19037354007 38074708014 57112062021 114224124042