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1320243424304 = 247197017611163
BaseRepresentation
bin10011001101100100101…
…000111110110000110000
311200012210000220221211212
4103031210220332300300
5133112324304034204
62450302250255252
7164245601642210
oct23154450766060
94605700827755
101320243424304
11469a03aa3522
12193a56a27528
139766305170c
1447c85d18240
1524521226c6e
hex13364a3ec30

1320243424304 has 160 divisors (see below), whose sum is σ = 3088351618560. Its totient is φ = 534110976000.

The previous prime is 1320243424277. The next prime is 1320243424319. The reversal of 1320243424304 is 4034243420231.

It is a super-3 number, since 3×13202434243043 (a number of 37 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1135204427 + ... + 1135205589.

It is an arithmetic number, because the mean of its divisors is an integer number (19302197616).

Almost surely, 21320243424304 is an apocalyptic number.

1320243424304 is a gapful number since it is divisible by the number (14) 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 1320243424304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544175809280).

1320243424304 is an abundant number, since it is smaller than the sum of its proper divisors (1768108194256).

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

1320243424304 is a wasteful number, since it uses less digits than its factorization.

1320243424304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659 (or 2653 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 1320243424304 its reverse (4034243420231), we get a palindrome (5354486844535).

The spelling of 1320243424304 in words is "one trillion, three hundred twenty billion, two hundred forty-three million, four hundred twenty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 701 761 1064 1163 1402 1522 2128 2326 2804 3044 4652 4907 5327 5608 6088 8141 9304 9814 10654 11216 12176 13319 14459 16282 18608 19628 21308 22097 26638 28918 32564 39256 42616 44194 53276 57836 65128 78512 85232 88388 93233 101213 106552 115672 130256 154679 176776 186466 202426 213104 231344 309358 353552 372932 404852 533461 618716 745864 809704 815263 885043 1066922 1237432 1491728 1619408 1630526 1770086 2133844 2474864 3261052 3540172 3734227 4267688 5706841 6195301 6522104 7080344 7468454 8535376 10135759 11413682 12390602 13044208 14160688 14936908 15489997 16815817 20271518 22827364 24781204 29873816 30979994 33631634 40543036 45654728 49562408 59747632 61959988 67263268 70950313 81086072 91309456 99124816 108429979 117710719 123919976 134526536 141900626 162172144 216859958 235421438 247839952 269053072 283801252 433719916 470842876 567602504 620415143 867439832 941685752 1135205008 1240830286 1734879664 1883371504 2481660572 4342906001 4963321144 8685812002 9926642288 11787887717 17371624004 23575775434 34743248008 47151550868 69486496016 82515214019 94303101736 165030428038 188606203472 330060856076 660121712152 1320243424304