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114331512445245 = 36596493250769
BaseRepresentation
bin11001111111101111100001…
…001011111001100100111101
3112222210222121200101121000000
4121333233201023321210331
5104441201414141221440
61043055101032024513
733040115314024464
oct3177574113714475
9488728550347000
10114331512445245
113347a7a4182637
12109a6268232139
134ba455271c6a4
14203396364d9db
15d3405965c730
hex67fbe12f993d

114331512445245 has 56 divisors (see below), whose sum is σ = 205724004219000. Its totient is φ = 60970468386816.

The previous prime is 114331512445243. The next prime is 114331512445259. The reversal of 114331512445245 is 542544215133411.

114331512445245 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 3 + 1 + 512 + 44 + 52 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11880940371876 + 102450572073369 = 3446874^2 + 10121787^2 .

It is not a de Polignac number, because 114331512445245 - 21 = 114331512445243 is a prime.

It is a super-2 number, since 2×1143315124452452 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 114331512445245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114331512445243) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 33545221 + ... + 36795989.

Almost surely, 2114331512445245 is an apocalyptic number.

114331512445245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114331512445245 is a deficient number, since it is larger than the sum of its proper divisors (91392491773755).

114331512445245 is an frugal number, since it uses more digits than its factorization.

114331512445245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3260441 (or 3260426 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

Adding to 114331512445245 its reverse (542544215133411), we get a palindrome (656875727578656).

The spelling of 114331512445245 in words is "one hundred fourteen trillion, three hundred thirty-one billion, five hundred twelve million, four hundred forty-five thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 729 1215 3645 9649 28947 48245 86841 144735 260523 434205 781569 1302615 2344707 3250769 3907845 7034121 9752307 11723535 16253845 29256921 35170605 48761535 87770763 146284605 263312289 438853815 789936867 1316561445 2369810601 3949684335 11849053005 31366670081 94100010243 156833350405 282300030729 470500051215 846900092187 1411500153645 2540700276561 4234500460935 7622100829683 12703501382805 22866302489049 38110504148415 114331512445245