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12231140411440 = 2454117922393419
BaseRepresentation
bin1011000111111100100011…
…0001111000100000110000
31121022021201012112121001201
42301333020301320200300
53100343333421131230
642002524111140544
72401446030052036
oct261771061704060
947267635477051
1012231140411440
113996219996025
121456588214754
136a9512433702
14303dc1766556
151632601885ca
hexb1fc8c78830

12231140411440 has 160 divisors (see below), whose sum is σ = 29425416652800. Its totient is φ = 4725127280640.

The previous prime is 12231140411437. The next prime is 12231140411447. The reversal of 12231140411440 is 4411404113221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12231140411399 and 12231140411408.

It is not an unprimeable number, because it can be changed into a prime (12231140411447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130881051 + ... + 130974469.

It is an arithmetic number, because the mean of its divisors is an integer number (183908854080).

Almost surely, 212231140411440 is an apocalyptic number.

12231140411440 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 12231140411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14712708326400).

12231140411440 is an abundant number, since it is smaller than the sum of its proper divisors (17194276241360).

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

12231140411440 is a wasteful number, since it uses less digits than its factorization.

12231140411440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93875 (or 93869 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 12231140411440 its reverse (4411404113221), we get a palindrome (16642544524661).

The spelling of 12231140411440 in words is "twelve trillion, two hundred thirty-one billion, one hundred forty million, four hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 179 205 223 328 358 410 446 656 716 820 892 895 1115 1432 1640 1784 1790 2230 2864 3280 3568 3580 4460 7160 7339 8920 9143 14320 14678 17840 18286 29356 36572 36695 39917 45715 58712 73144 73390 79834 91430 93419 117424 146288 146780 159668 182860 186838 199585 293560 319336 365720 373676 399170 467095 587120 638672 731440 747352 798340 934190 1494704 1596680 1636597 1868380 3193360 3273194 3736760 3830179 6546388 7473520 7660358 8182985 13092776 15320716 16365970 16722001 19150895 20832437 26185552 30641432 32731940 33444002 38301790 41664874 61282864 65463880 66888004 76603580 83329748 83610005 104162185 130927760 133776008 153207160 166659496 167220010 208324370 267552016 306414320 333318992 334440020 416648740 668880040 685602041 833297480 854129917 1337760080 1371204082 1666594960 1708259834 2742408164 3416519668 3428010205 3729006223 4270649585 5484816328 6833039336 6856020410 7458012446 8541299170 10969632656 13666078672 13712040820 14916024892 17082598340 18645031115 27424081640 29832049784 34165196680 37290062230 54848163280 59664099568 68330393360 74580124460 149160248920 152889255143 298320497840 305778510286 611557020572 764446275715 1223114041144 1528892551430 2446228082288 3057785102860 6115570205720 12231140411440