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131444300340 = 22345233527759
BaseRepresentation
bin111101001101010110…
…0001101101000110100
3110120021120122022020000
41322122230031220310
54123144220102330
6140215031311300
712332212055343
oct1723254155064
9416246568200
10131444300340
1150821976381
122158451b530
13c51a194312
14650d22db5a
153644a59560
hex1e9ab0da34

131444300340 has 120 divisors (see below), whose sum is σ = 430273831680. Its totient is φ = 33527812032.

The previous prime is 131444300333. The next prime is 131444300369. The reversal of 131444300340 is 43003444131.

131444300340 is a `hidden beast` number, since 1 + 3 + 14 + 4 + 4 + 300 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1726620 + ... + 1801139.

It is an arithmetic number, because the mean of its divisors is an integer number (3585615264).

Almost surely, 2131444300340 is an apocalyptic number.

131444300340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131444300340 is an abundant number, since it is smaller than the sum of its proper divisors (298829531340).

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

131444300340 is a wasteful number, since it uses less digits than its factorization.

131444300340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3527803 (or 3527792 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 131444300340 its reverse (43003444131), we get a palindrome (174447744471).

The spelling of 131444300340 in words is "one hundred thirty-one billion, four hundred forty-four million, three hundred thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 81 90 92 108 115 135 138 162 180 207 230 270 276 324 345 405 414 460 540 621 690 810 828 1035 1242 1380 1620 1863 2070 2484 3105 3726 4140 6210 7452 9315 12420 18630 37260 3527759 7055518 10583277 14111036 17638795 21166554 31749831 35277590 42333108 52916385 63499662 70555180 81138457 95249493 105832770 126999324 158749155 162276914 190498986 211665540 243415371 285748479 317498310 324553828 380997972 405692285 476247465 486830742 571496958 634996620 730246113 811384570 952494930 973661484 1142993916 1217076855 1428742395 1460492226 1622769140 1904989860 2190738339 2434153710 2857484790 2920984452 3651230565 4381476678 4868307420 5714969580 6572215017 7302461130 8762953356 10953691695 13144430034 14604922260 21907383390 26288860068 32861075085 43814766780 65722150170 131444300340