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131404503433040 = 2457092316722557
BaseRepresentation
bin11101111000001011111110…
…101111111011111101010000
3122020021010222210000011222222
4131320023332233323331100
5114210412410334324130
61143250221232520212
736451443044001065
oct3570137657737520
9566233883004888
10131404503433040
1138962378530402
12128a30a63b0068
135842512198326
142464024928c6c
15102d1ecc73ce5
hex7782febfbf50

131404503433040 has 40 divisors (see below), whose sum is σ = 305946381009480. Its totient is φ = 52487666228736.

The previous prime is 131404503433039. The next prime is 131404503433067. The reversal of 131404503433040 is 40334305404131.

It can be written as a sum of positive squares in 4 ways, for example, as 7622590897216 + 123781912535824 = 2760904^2 + 11125732^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1314045034330402 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1158304559 + ... + 1158417998.

It is an arithmetic number, because the mean of its divisors is an integer number (7648659525237).

Almost surely, 2131404503433040 is an apocalyptic number.

131404503433040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131404503433040 is an abundant number, since it is smaller than the sum of its proper divisors (174541877576440).

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

131404503433040 is a wasteful number, since it uses less digits than its factorization.

131404503433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316723279 (or 2316723273 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 131404503433040 its reverse (40334305404131), we get a palindrome (171738808837171).

The spelling of 131404503433040 in words is "one hundred thirty-one trillion, four hundred four billion, five hundred three million, four hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 709 1418 2836 3545 5672 7090 11344 14180 28360 56720 2316722557 4633445114 9266890228 11583612785 18533780456 23167225570 37067560912 46334451140 92668902280 185337804560 1642556292913 3285112585826 6570225171652 8212781464565 13140450343304 16425562929130 26280900686608 32851125858260 65702251716520 131404503433040