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114435552452 = 22131131632733
BaseRepresentation
bin110101010010011100…
…0111111010011000100
3101221101012200101110112
41222210320333103010
53333331000134302
6124323155012152
711160551101154
oct1524470772304
9357335611415
10114435552452
1144593982341
121a21829a058
13aa3942a260
145778314764
152e9b705552
hex1aa4e3f4c4

114435552452 has 72 divisors (see below), whose sum is σ = 219217229784. Its totient is φ = 51956868096.

The previous prime is 114435552437. The next prime is 114435552467. The reversal of 114435552452 is 254255534411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114435552437) and next prime (114435552467).

It can be written as a sum of positive squares in 4 ways, for example, as 4082698816 + 110352853636 = 63896^2 + 332194^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156119078 + ... + 156119810.

It is an arithmetic number, because the mean of its divisors is an integer number (3044683747).

Almost surely, 2114435552452 is an apocalyptic number.

It is an amenable number.

114435552452 is a deficient number, since it is larger than the sum of its proper divisors (104781677332).

114435552452 is a wasteful number, since it uses less digits than its factorization.

114435552452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1024 counting only the distinct ones).

The product of its digits is 480000, while the sum is 41.

The spelling of 114435552452 in words is "one hundred fourteen billion, four hundred thirty-five million, five hundred fifty-two thousand, four hundred fifty-two".

Divisors: 1 2 4 13 26 52 113 163 226 326 452 652 733 1466 1469 2119 2932 2938 4238 5876 8476 9529 18419 19058 26569 36838 38116 53138 73676 82829 106276 119479 165658 238958 239447 331316 345397 477916 478894 690794 957788 1076777 1381588 1553227 2153554 3002297 3106454 4307108 6004594 6212908 12009188 13501127 19475077 27002254 38950154 39029861 54004508 77900308 78059722 156119444 175514651 253176001 351029302 506352002 702058604 1012704004 2200683701 4401367402 8802734804 28608888113 57217776226 114435552452