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114505245454500 = 22325325445610101
BaseRepresentation
bin11010000010010001010100…
…011110101111000010100100
3120000102121001102200220010100
4122002101110132233002210
5110002023220314021000
61043310552241224100
733055505504160525
oct3202212436570244
9500377042626110
10114505245454500
1133537446a0591a
1210a13a73032030
134bb7a4bb86c94
14203c124dba84c
15d38826a8ea00
hex6824547af0a4

114505245454500 has 72 divisors (see below), whose sum is σ = 361225881007992. Its totient is φ = 30534732120000.

The previous prime is 114505245454499. The next prime is 114505245454511. The reversal of 114505245454500 is 5454542505411.

114505245454500 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 0 + 52 + 4 + 54 + 545 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33485480248896 + 81019765205604 = 5786664^2 + 9001098^2 .

It is a super-3 number, since 3×1145052454545003 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12722800551 + ... + 12722809550.

It is an arithmetic number, because the mean of its divisors is an integer number (5017026125111).

Almost surely, 2114505245454500 is an apocalyptic number.

114505245454500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114505245454500 is an abundant number, since it is smaller than the sum of its proper divisors (246720635553492).

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

114505245454500 is a wasteful number, since it uses less digits than its factorization.

114505245454500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25445610126 (or 25445610111 counting only the distinct ones).

The product of its (nonzero) digits is 1600000, while the sum is 45.

Adding to 114505245454500 its reverse (5454542505411), we get a palindrome (119959787959911).

The spelling of 114505245454500 in words is "one hundred fourteen trillion, five hundred five billion, two hundred forty-five million, four hundred fifty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 750 900 1125 1500 2250 4500 25445610101 50891220202 76336830303 101782440404 127228050505 152673660606 229010490909 254456101010 305347321212 381684151515 458020981818 508912202020 636140252525 763368303030 916041963636 1145052454545 1272280505050 1526736606060 1908420757575 2290104909090 2544561010100 3180701262625 3816841515150 4580209818180 5725262272725 6361402525250 7633683030300 9542103787875 11450524545450 12722805050500 19084207575750 22901049090900 28626311363625 38168415151500 57252622727250 114505245454500