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4130610000 = 243541112517
BaseRepresentation
bin1111011000110100…
…0001101101010000
3101122212110201200120
43312031001231100
531424414010000
61521513150240
7204234414516
oct36615015520
911585421616
104130610000
11182a692480
129733bb380
1350a9c1a3a
142b28324b6
151929746a0
hexf6341b50

4130610000 has 200 divisors, whose sum is σ = 14547518304. Its totient is φ = 1001280000.

The previous prime is 4130609999. The next prime is 4130610047. The reversal of 4130610000 is 160314.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 323742 + ... + 336258.

Almost surely, 24130610000 is an apocalyptic number.

4130610000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4130610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7273759152).

4130610000 is an abundant number, since it is smaller than the sum of its proper divisors (10416908304).

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

4130610000 is a wasteful number, since it uses less digits than its factorization.

4130610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12559 (or 12538 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 4130610000 is about 64269.8218450931. The cubic root of 4130610000 is about 1604.4938767695.

Adding to 4130610000 its reverse (160314), we get a palindrome (4130770314).

The spelling of 4130610000 in words is "four billion, one hundred thirty million, six hundred ten thousand".