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1312443142340 = 2251121983343901
BaseRepresentation
bin10011000110010011101…
…101010001000011000100
311122110122102022120120212
4103012103231101003010
5133000340421023330
62442532243214552
7163551364433321
oct23062355210304
94573572276525
101312443142340
11466670a36200
1219243a677458
13969bbcc7465
1447745d9bb48
152421652c295
hex13193b510c4

1312443142340 has 144 divisors (see below), whose sum is σ = 3227341440960. Its totient is φ = 446684832000.

The previous prime is 1312443142301. The next prime is 1312443142363. The reversal of 1312443142340 is 432413442131.

It is a junction number, because it is equal to n+sod(n) for n = 1312443142297 and 1312443142306.

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 47 ways as a sum of consecutive naturals, for example, 3644390 + ... + 3988290.

It is an arithmetic number, because the mean of its divisors is an integer number (22412093340).

Almost surely, 21312443142340 is an apocalyptic number.

1312443142340 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 1312443142340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613670720480).

1312443142340 is an abundant number, since it is smaller than the sum of its proper divisors (1914898298620).

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

1312443142340 is a wasteful number, since it uses less digits than its factorization.

1312443142340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344034 (or 344021 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 1312443142340 its reverse (432413442131), we get a palindrome (1744856584471).

The spelling of 1312443142340 in words is "one trillion, three hundred twelve billion, four hundred forty-three million, one hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 83 95 110 121 166 190 209 220 242 332 380 415 418 484 605 830 836 913 1045 1210 1577 1660 1826 2090 2299 2420 3154 3652 4180 4565 4598 6308 7885 9130 9196 10043 11495 15770 17347 18260 20086 22990 31540 34694 40172 45980 50215 69388 86735 100430 173470 190817 200860 343901 346940 381634 687802 763268 954085 1375604 1719505 1908170 3439010 3782911 3816340 6534119 6878020 7565822 13068238 15131644 18914555 26136476 28543783 32670595 37829110 41612021 57087566 65341190 71875309 75658220 83224042 114175132 130682380 142718915 143750618 166448084 208060105 285437830 287501236 313981613 359376545 416120210 542331877 570875660 627963226 718753090 790628399 832240420 1084663754 1255926452 1437506180 1569908065 1581256798 2169327508 2711659385 3139816130 3162513596 3453797743 3953141995 5423318770 5965650647 6279632260 6907595486 7906283990 10846637540 11931301294 13815190972 15812567980 17268988715 23862602588 29828253235 34537977430 59656506470 65622157117 69075954860 119313012940 131244314234 262488628468 328110785585 656221571170 1312443142340