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13130430244140 = 223511311314898939
BaseRepresentation
bin1011111100010010101010…
…1000010110010100101100
31201111020221021000102220110
42333010222220112110230
53210112110120303030
643532011505220020
72523433205364006
oct277045250262454
951436837012813
1013130430244140
1142026476216a0
121580922631610
1374326aa30681
143357326c9376
1517b8451851b0
hexbf12aa1652c

13130430244140 has 192 divisors, whose sum is σ = 41717335080960. Its totient is φ = 3056937312000.

The previous prime is 13130430244117. The next prime is 13130430244193. The reversal of 13130430244140 is 4144203403131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13130430244098 and 13130430244107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 230791 + ... + 5129729.

It is an arithmetic number, because the mean of its divisors is an integer number (217277786880).

Almost surely, 213130430244140 is an apocalyptic number.

13130430244140 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 13130430244140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20858667540480).

13130430244140 is an abundant number, since it is smaller than the sum of its proper divisors (28586904836820).

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

13130430244140 is a wasteful number, since it uses less digits than its factorization.

13130430244140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4899124 (or 4899122 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 13130430244140 its reverse (4144203403131), we get a palindrome (17274633647271).

The spelling of 13130430244140 in words is "thirteen trillion, one hundred thirty billion, four hundred thirty million, two hundred forty-four thousand, one hundred forty".