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130142243040 = 25353726927241
BaseRepresentation
bin111100100110100010…
…1010000100011100000
3110102220211120221101120
41321031011100203200
54113012403234130
6135441515532240
712255021546045
oct1711505204340
9412824527346
10130142243040
11502139a3467
122128045a080
13c3704b8b04
1464283351cc
1535ba5ae910
hex1e4d1508e0

130142243040 has 192 divisors, whose sum is σ = 422608415040. Its totient is φ = 33639874560.

The previous prime is 130142243029. The next prime is 130142243051. The reversal of 130142243040 is 40342241031.

It is an interprime number because it is at equal distance from previous prime (130142243029) and next prime (130142243051).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 130142243040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4763820 + ... + 4791060.

It is an arithmetic number, because the mean of its divisors is an integer number (2201085495).

Almost surely, 2130142243040 is an apocalyptic number.

130142243040 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 130142243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211304207520).

130142243040 is an abundant number, since it is smaller than the sum of its proper divisors (292466172000).

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

130142243040 is a wasteful number, since it uses less digits than its factorization.

130142243040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27565 (or 27557 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 130142243040 its reverse (40342241031), we get a palindrome (170484484071).

The spelling of 130142243040 in words is "one hundred thirty billion, one hundred forty-two million, two hundred forty-three thousand, forty".