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130440240214340 = 22572160621828673
BaseRepresentation
bin11101101010001001111100…
…001011101011000101000100
3122002211222001121122100101112
4131222021330023223011010
5114044113102443324330
61141231230305344152
736321665515610600
oct3552117413530504
9562758047570345
10130440240214340
1138620439038211
1212768238638058
1357a2600970334
14242d4ac7bc500
1510130b3ac8795
hex76a27c2eb144

130440240214340 has 72 divisors (see below), whose sum is σ = 318649240895832. Its totient is φ = 44722035671040.

The previous prime is 130440240214309. The next prime is 130440240214351. The reversal of 130440240214340 is 43412042044031.

It can be written as a sum of positive squares in 4 ways, for example, as 87236348164 + 130353003866176 = 295358^2 + 11417224^2 .

It is a junction number, because it is equal to n+sod(n) for n = 130440240214297 and 130440240214306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156994244 + ... + 157822916.

It is an arithmetic number, because the mean of its divisors is an integer number (4425683901331).

Almost surely, 2130440240214340 is an apocalyptic number.

130440240214340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130440240214340 is an abundant number, since it is smaller than the sum of its proper divisors (188209000681492).

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

130440240214340 is a wasteful number, since it uses less digits than its factorization.

130440240214340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989317 (or 989308 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 130440240214340 its reverse (43412042044031), we get a palindrome (173852282258371).

The spelling of 130440240214340 in words is "one hundred thirty trillion, four hundred forty billion, two hundred forty million, two hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 160621 321242 642484 803105 828673 1124347 1606210 1657346 2248694 3212420 3314692 4143365 4497388 5621735 5800711 7870429 8286730 11243470 11601422 15740858 16573460 22486940 23202844 29003555 31481716 39352145 40604977 58007110 78704290 81209954 116014220 157408580 162419908 203024885 406049770 812099540 133102285933 266204571866 532409143732 665511429665 931716001531 1331022859330 1863432003062 2662045718660 3726864006124 4658580007655 6522012010717 9317160015310 13044024021434 18634320030620 26088048042868 32610060053585 65220120107170 130440240214340