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41344551400 = 2352206722757
BaseRepresentation
bin100110100000010100…
…111100100111101000
310221201101001211021111
4212200110330213220
51134133201121100
630554325120104
72662361613505
oct464024744750
9127641054244
1041344551400
1116596a15449
12801a259034
133b8b7b88c9
142002da84ac
15111ea776ba
hex9a053c9e8

41344551400 has 24 divisors (see below), whose sum is σ = 96126082470. Its totient is φ = 16537820480.

The previous prime is 41344551389. The next prime is 41344551407. The reversal of 41344551400 is 415544314.

It can be written as a sum of positive squares in 3 ways, for example, as 16031104996 + 25313446404 = 126614^2 + 159102^2 .

It is a super-3 number, since 3×413445514003 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (41344551407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 103361179 + ... + 103361578.

Almost surely, 241344551400 is an apocalyptic number.

41344551400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41344551400 is an abundant number, since it is smaller than the sum of its proper divisors (54781531070).

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

41344551400 is a wasteful number, since it uses less digits than its factorization.

41344551400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206722773 (or 206722764 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The spelling of 41344551400 in words is "forty-one billion, three hundred forty-four million, five hundred fifty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 206722757 413445514 826891028 1033613785 1653782056 2067227570 4134455140 5168068925 8268910280 10336137850 20672275700 41344551400