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4341421333040 = 24511103229209159
BaseRepresentation
bin111111001011010000111…
…000000101101000110000
3120101000222010011110120012
4333023100320011220300
51032112212330124130
613122231010034052
7625441316312411
oct77132070055060
916330863143505
104341421333040
111424206186510
125a1491278928
132565182b745c
141101a9715808
1577de4d0b995
hex3f2d0e05a30

4341421333040 has 160 divisors (see below), whose sum is σ = 11166935270400. Its totient is φ = 1556537103360.

The previous prime is 4341421333033. The next prime is 4341421333061. The reversal of 4341421333040 is 403331241434.

It is a junction number, because it is equal to n+sod(n) for n = 4341421332988 and 4341421333006.

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, 20651981 + ... + 20861139.

It is an arithmetic number, because the mean of its divisors is an integer number (69793345440).

Almost surely, 24341421333040 is an apocalyptic number.

4341421333040 is a gapful number since it is divisible by the number (40) 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 4341421333040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5583467635200).

4341421333040 is an abundant number, since it is smaller than the sum of its proper divisors (6825513937360).

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

4341421333040 is a wasteful number, since it uses less digits than its factorization.

4341421333040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209515 (or 209509 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 4341421333040 its reverse (403331241434), we get a palindrome (4744752574474).

The spelling of 4341421333040 in words is "four trillion, three hundred forty-one billion, four hundred twenty-one million, three hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 103 110 176 206 220 229 412 440 458 515 824 880 916 1030 1133 1145 1648 1832 2060 2266 2290 2519 3664 4120 4532 4580 5038 5665 8240 9064 9160 10076 11330 12595 18128 18320 20152 22660 23587 25190 40304 45320 47174 50380 90640 94348 100760 117935 188696 201520 209159 235870 259457 377392 418318 471740 518914 836636 943480 1037828 1045795 1297285 1673272 1886960 2075656 2091590 2300749 2594570 3346544 4151312 4183180 4601498 5189140 8366360 9202996 10378280 11503745 16732720 18405992 20756560 21543377 23007490 36811984 43086754 46014980 47897411 86173508 92029960 95794822 107716885 172347016 184059920 191589644 215433770 236977147 239487055 344694032 383179288 430867540 473954294 478974110 526871521 766358576 861735080 947908588 957948220 1053743042 1184885735 1723470160 1895817176 1915896440 2107486084 2369771470 2634357605 3791634352 3831792880 4214972168 4739542940 4933433333 5268715210 8429944336 9479085880 9866866666 10537430420 18958171760 19733733332 21074860840 24667166665 39467466664 42149721680 49334333330 54267766663 78934933328 98668666660 108535533326 197337333320 217071066652 271338833315 394674666640 434142133304 542677666630 868284266608 1085355333260 2170710666520 4341421333040