Search a number
-
+
4407000246330 = 23511831071503721
BaseRepresentation
bin100000000100001010110…
…1011110010100000111010
3120121022020102110102121120
41000020111223302200322
51034201014030340310
613212314205450110
7633252401010423
oct100102553624072
916538212412546
104407000246330
111449aa8826710
125b2133570936
1325c7697c7b66
1411342b0c464a
157998221ab70
hex40215af283a

4407000246330 has 128 divisors (see below), whose sum is σ = 11786485810176. Its totient is φ = 1045626739200.

The previous prime is 4407000246323. The next prime is 4407000246347. The reversal of 4407000246330 is 336420007044.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 4407000246291 and 4407000246300.

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 63 ways as a sum of consecutive naturals, for example, 2178870 + ... + 3682590.

It is an arithmetic number, because the mean of its divisors is an integer number (92081920392).

Almost surely, 24407000246330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4407000246330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5893242905088).

4407000246330 is an abundant number, since it is smaller than the sum of its proper divisors (7379485563846).

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

4407000246330 is a wasteful number, since it uses less digits than its factorization.

4407000246330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503932.

The product of its (nonzero) digits is 48384, while the sum is 33.

The spelling of 4407000246330 in words is "four trillion, four hundred seven billion, two hundred forty-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 83 107 110 165 166 214 249 321 330 415 498 535 642 830 913 1070 1177 1245 1605 1826 2354 2490 2739 3210 3531 4565 5478 5885 7062 8881 9130 11770 13695 17655 17762 26643 27390 35310 44405 53286 88810 97691 133215 195382 266430 293073 488455 586146 976910 1465365 1503721 2930730 3007442 4511163 7518605 9022326 15037210 16540931 22555815 33081862 45111630 49622793 82704655 99245586 124808843 160898147 165409310 248113965 249617686 321796294 374426529 482694441 496227930 624044215 748853058 804490735 965388882 1248088430 1372897273 1608981470 1769879617 1872132645 2413472205 2745794546 3539759234 3744265290 4118691819 4826944410 5309638851 6864486365 8237383638 8849398085 10619277702 13354546201 13728972730 17698796170 20593459095 26548194255 26709092402 40063638603 41186918190 53096388510 66772731005 80127277206 133545462010 146900008211 200318193015 293800016422 400636386030 440700024633 734500041055 881400049266 1469000082110 2203500123165 4407000246330