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41412430200 = 2335269020717
BaseRepresentation
bin100110100100010111…
…111000100101111000
310221220002210102111010
4212210113320211320
51134303040231300
631005152033520
72664144564051
oct464427704570
9127802712433
1041412430200
1116621267829
128038b328a0
133b9c893a8b
14200bdd7728
1511259d4a50
hex9a45f8978

41412430200 has 48 divisors (see below), whose sum is σ = 128378535480. Its totient is φ = 11043314560.

The previous prime is 41412430181. The next prime is 41412430201. The reversal of 41412430200 is 203421414.

41412430200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×414124302003 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41412430201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34509759 + ... + 34510958.

Almost surely, 241412430200 is an apocalyptic number.

41412430200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41412430200 is an abundant number, since it is smaller than the sum of its proper divisors (86966105280).

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

41412430200 is a wasteful number, since it uses less digits than its factorization.

41412430200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69020736 (or 69020727 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 41412430200 its reverse (203421414), we get a palindrome (41615851614).

The spelling of 41412430200 in words is "forty-one billion, four hundred twelve million, four hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 69020717 138041434 207062151 276082868 345103585 414124302 552165736 690207170 828248604 1035310755 1380414340 1656497208 1725517925 2070621510 2760828680 3451035850 4141243020 5176553775 6902071700 8282486040 10353107550 13804143400 20706215100 41412430200