Search a number
-
+
114642602432 = 2617653161363
BaseRepresentation
bin110101011000100111…
…0110100100111000000
3101221220122021121122022
41222301032310213000
53334242001234212
6124355512501012
711165644020341
oct1526116644700
9357818247568
10114642602432
114468a840026
121a2756aa768
13aa702b2437
145797a100c8
152eae9a3772
hex1ab13b49c0

114642602432 has 56 divisors (see below), whose sum is σ = 241246280016. Its totient is φ = 53866508288.

The previous prime is 114642602413. The next prime is 114642602441. The reversal of 114642602432 is 234206246411.

It is a super-2 number, since 2×1146426024322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114642602392 and 114642602401.

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 7 ways as a sum of consecutive naturals, for example, 629783 + ... + 791145.

It is an arithmetic number, because the mean of its divisors is an integer number (4307969286).

Almost surely, 2114642602432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114642602432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120623140008).

114642602432 is an abundant number, since it is smaller than the sum of its proper divisors (126603677584).

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

114642602432 is a wasteful number, since it uses less digits than its factorization.

114642602432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162045 (or 162035 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

Adding to 114642602432 its reverse (234206246411), we get a palindrome (348848848843).

The spelling of 114642602432 in words is "one hundred fourteen billion, six hundred forty-two million, six hundred two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 653 1088 1306 2612 5224 10448 11101 20896 22202 41792 44404 88808 161363 177616 322726 355232 645452 710464 1290904 2581808 2743171 5163616 5486342 10327232 10972684 21945368 43890736 87781472 105370039 175562944 210740078 421480156 842960312 1685920624 1791290663 3371841248 3582581326 6743682496 7165162652 14330325304 28660650608 57321301216 114642602432