Search a number
-
+
14052414222 = 23371112172777
BaseRepresentation
bin11010001011001011…
…01101001100001110
31100021100002121101000
431011211231030032
5212234404223342
610242224001130
71005142356450
oct150545551416
940240077330
1014052414222
115a61248880
1228821601a6
13142c431102
1497443c2d0
15573a3844c
hex34596d30e

14052414222 has 128 divisors (see below), whose sum is σ = 38979118080. Its totient is φ = 3645665280.

The previous prime is 14052414197. The next prime is 14052414281. The reversal of 14052414222 is 22241425041.

It is a happy number.

14052414222 is a `hidden beast` number, since 1 + 405 + 24 + 14 + 222 = 666.

14052414222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5058898 + ... + 5061674.

It is an arithmetic number, because the mean of its divisors is an integer number (304524360).

Almost surely, 214052414222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14052414222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19489559040).

14052414222 is an abundant number, since it is smaller than the sum of its proper divisors (24926703858).

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

14052414222 is a wasteful number, since it uses less digits than its factorization.

14052414222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4023 (or 4017 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 14052414222 its reverse (22241425041), we get a palindrome (36293839263).

The spelling of 14052414222 in words is "fourteen billion, fifty-two million, four hundred fourteen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1217 1386 2079 2434 2777 3651 4158 5554 7302 8331 8519 10953 13387 16662 17038 19439 21906 24993 25557 26774 30547 32859 38878 40161 49986 51114 58317 61094 65718 74979 76671 80322 91641 93709 116634 120483 149958 153342 174951 183282 187418 213829 230013 240966 274923 281127 349902 361449 427658 460026 524853 549846 562254 641487 722898 824769 843381 1049706 1282974 1649538 1686762 1924461 2530143 3379609 3848922 5060286 5773383 6759218 10138827 11546766 20277654 23657263 30416481 37175699 47314526 60832962 70971789 74351398 91249443 111527097 141943578 182498886 212915367 223054194 260229893 334581291 425830734 520459786 638746101 669162582 780689679 1003743873 1277492202 1561379358 2007487746 2342069037 4684138074 7026207111 14052414222