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15341430000 = 2435413139283
BaseRepresentation
bin11100100100110101…
…11010010011110000
31110121011121101121010
432102122322103300
5222404401230000
611014152030520
71052114001111
oct162232722360
943534541533
1015341430000
116562923476
122b81992440
1315a64c1540
14a57700208
155ebca8d50
hex3926ba4f0

15341430000 has 400 divisors, whose sum is σ = 53907244160. Its totient is φ = 3735936000.

The previous prime is 15341429923. The next prime is 15341430001. The reversal of 15341430000 is 3414351.

15341430000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15341430001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 54209859 + ... + 54210141.

Almost surely, 215341430000 is an apocalyptic number.

15341430000 is a gapful number since it is divisible by the number (10) 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 15341430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26953622080).

15341430000 is an abundant number, since it is smaller than the sum of its proper divisors (38565814160).

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

15341430000 is a wasteful number, since it uses less digits than its factorization.

15341430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 15341430000 its reverse (3414351), we get a palindrome (15344844351).

The spelling of 15341430000 in words is "fifteen billion, three hundred forty-one million, four hundred thirty thousand".