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114034446253 = 7213283251661
BaseRepresentation
bin110101000110011111…
…0111000111110101101
3101220100020221002012101
41222030332320332231
53332020304240003
6124215305535101
711144610541300
oct1521476707655
9356306832171
10114034446253
11443a8521312
121a125aa4491
13a9a42bc300
14573ad42b37
152e763c411d
hex1a8cfb8fad

114034446253 has 72 divisors (see below), whose sum is σ = 146171856096. Its totient is φ = 88648560000.

The previous prime is 114034446247. The next prime is 114034446293. The reversal of 114034446253 is 352644430411.

It is not a de Polignac number, because 114034446253 - 213 = 114034438061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114034446203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 172517743 + ... + 172518403.

It is an arithmetic number, because the mean of its divisors is an integer number (2030164668).

Almost surely, 2114034446253 is an apocalyptic number.

114034446253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

114034446253 is a deficient number, since it is larger than the sum of its proper divisors (32137409843).

114034446253 is a wasteful number, since it uses less digits than its factorization.

114034446253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

Adding to 114034446253 its reverse (352644430411), we get a palindrome (466678876664).

The spelling of 114034446253 in words is "one hundred fourteen billion, thirty-four million, four hundred forty-six thousand, two hundred fifty-three".

Divisors: 1 7 13 49 83 91 169 251 581 637 661 1079 1183 1757 3263 4067 4627 7553 8281 8593 12299 14027 20833 22841 32389 42419 52871 54863 60151 98189 111709 145831 159887 165911 270829 296933 384041 421057 687323 713219 781963 1020817 1161377 1895803 2078531 2156843 2688287 3520777 4992533 5473741 8129639 9271847 13270621 13770613 15097901 24645439 28038959 34947731 64902929 96394291 105685307 172518073 179017969 196272713 454320503 674760037 1253125783 1373908991 2327233597 8771880481 16290635179 114034446253