Search a number
-
+
4143200340020 = 2257217867728661
BaseRepresentation
bin111100010010101001111…
…111000000100000110100
3112200002022202101200212012
4330102221333000200310
51020340233241340040
612451205430143352
7605223236546600
oct74225177004064
915602282350765
104143200340020
111358137640615
1256ab914b1b58
13240918717c41
14104763a04500
1572b92b45865
hex3c4a9fc0834

4143200340020 has 144 divisors (see below), whose sum is σ = 10718223000912. Its totient is φ = 1336764764160.

The previous prime is 4143200340011. The next prime is 4143200340101. The reversal of 4143200340020 is 200430023414.

It can be written as a sum of positive squares in 8 ways, for example, as 331069048996 + 3812131291024 = 575386^2 + 1952468^2 .

It is a super-2 number, since 2×41432003400202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 144544490 + ... + 144573150.

It is an arithmetic number, because the mean of its divisors is an integer number (74432104173).

Almost surely, 24143200340020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4143200340020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5359111500456).

4143200340020 is an abundant number, since it is smaller than the sum of its proper divisors (6575022660892).

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

4143200340020 is a wasteful number, since it uses less digits than its factorization.

4143200340020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37378 (or 37369 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 4143200340020 its reverse (200430023414), we get a palindrome (4343630363434).

The spelling of 4143200340020 in words is "four trillion, one hundred forty-three billion, two hundred million, three hundred forty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 980 1190 1666 2380 3332 4165 8330 8677 16660 17354 28661 34708 43385 57322 60739 86770 114644 121478 143305 147509 173540 200627 242956 286610 295018 303695 401254 425173 487237 573220 590036 607390 737545 802508 850346 974474 1003135 1032563 1214780 1404389 1475090 1700692 1948948 2006270 2065126 2125865 2436185 2808778 2950180 3410659 4012540 4130252 4251730 4872370 5162815 5617556 6821318 7021945 7227941 8503460 9744740 10325630 13642636 14043890 14455882 17053295 20651260 23874613 28087780 28911764 34106590 36139705 47749226 68213180 72279410 95498452 119373065 144558820 238746130 248691497 477492260 497382994 994765988 1243457485 1740840479 2486914970 3481680958 4227755449 4973829940 6963361916 8455510898 8704202395 12185883353 16911021796 17408404790 21138777245 24371766706 29594288143 34816809580 42277554490 48743533412 59188576286 60929416765 84555108980 118377152572 121858833530 147971440715 207160017001 243717667060 295942881430 414320034002 591885762860 828640068004 1035800085005 2071600170010 4143200340020