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15342013120 = 2657171013989
BaseRepresentation
bin11100100100111010…
…01000101011000000
31110121012201000111011
432102131020223000
5222410023404440
611014212330304
71052121650140
oct162235105300
943535630434
1015342013120
116563191595
122b82013994
1315a6666a95
14a57812920
155ebd719ea
hex392748ac0

15342013120 has 224 divisors, whose sum is σ = 44657101440. Its totient is φ = 4900454400.

The previous prime is 15342013079. The next prime is 15342013121. The reversal of 15342013120 is 2131024351.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 15342013091 and 15342013100.

It is not an unprimeable number, because it can be changed into a prime (15342013121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3844086 + ... + 3848074.

It is an arithmetic number, because the mean of its divisors is an integer number (199362060).

Almost surely, 215342013120 is an apocalyptic number.

15342013120 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 15342013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22328550720).

15342013120 is an abundant number, since it is smaller than the sum of its proper divisors (29315088320).

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

15342013120 is a wasteful number, since it uses less digits than its factorization.

15342013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4131 (or 4121 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 15342013120 its reverse (2131024351), we get a palindrome (17473037471).

The spelling of 15342013120 in words is "fifteen billion, three hundred forty-two million, thirteen thousand, one hundred twenty".