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130314440000 = 26543257861
BaseRepresentation
bin111100101011101011…
…0001000110101000000
3110110100211121110012202
41321113112020311000
54113340444040000
6135510550412332
712262212315023
oct1712726106500
9413324543182
10130314440000
11502a21165a8
122130a0610a8
13c39a08a0c4
14644315b1ba
1535ca775dd5
hex1e57588d40

130314440000 has 70 divisors (see below), whose sum is σ = 323137558194. Its totient is φ = 52125760000.

The previous prime is 130314439963. The next prime is 130314440051. The reversal of 130314440000 is 44413031.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 60119116864 + 70195323136 = 245192^2 + 264944^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 1588931 + ... + 1668930.

Almost surely, 2130314440000 is an apocalyptic number.

130314440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130314440000 is an abundant number, since it is smaller than the sum of its proper divisors (192823118194).

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

130314440000 is an frugal number, since it uses more digits than its factorization.

130314440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3257893 (or 3257868 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 130314440000 its reverse (44413031), we get a palindrome (130358853031).

The spelling of 130314440000 in words is "one hundred thirty billion, three hundred fourteen million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 40000 3257861 6515722 13031444 16289305 26062888 32578610 52125776 65157220 81446525 104251552 130314440 162893050 208503104 260628880 325786100 407232625 521257760 651572200 814465250 1042515520 1303144400 1628930500 2036163125 2606288800 3257861000 4072326250 5212577600 6515722000 8144652500 13031444000 16289305000 26062888000 32578610000 65157220000 130314440000