Search a number
-
+
4023020333040 = 2435137223954647
BaseRepresentation
bin111010100010101110101…
…100101010011111110000
3112020121010012111210012120
4322202232230222133300
51011403121201124130
612320052223354240
7563440123416522
oct72425654523760
915217105453176
104023020333040
1113111761095a5
1254b831452980
132324a5156787
14dca02801a12
156e9abe84910
hex3a8aeb2a7f0

4023020333040 has 160 divisors (see below), whose sum is σ = 12568235581440. Its totient is φ = 1064479598592.

The previous prime is 4023020332861. The next prime is 4023020333041. The reversal of 4023020333040 is 403330203204.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4023020333040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4023020333041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73590997 + ... + 73645643.

It is an arithmetic number, because the mean of its divisors is an integer number (78551472384).

Almost surely, 24023020333040 is an apocalyptic number.

4023020333040 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 4023020333040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6284117790720).

4023020333040 is an abundant number, since it is smaller than the sum of its proper divisors (8545215248400).

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

4023020333040 is a wasteful number, since it uses less digits than its factorization.

4023020333040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57039 (or 57033 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 4023020333040 its reverse (403330203204), we get a palindrome (4426350536244).

The spelling of 4023020333040 in words is "four trillion, twenty-three billion, twenty million, three hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 137 240 274 411 548 685 822 1096 1370 1644 2055 2192 2239 2740 3288 4110 4478 5480 6576 6717 8220 8956 10960 11195 13434 16440 17912 22390 26868 32880 33585 35824 44780 53736 54647 67170 89560 107472 109294 134340 163941 179120 218588 268680 273235 306743 327882 437176 537360 546470 613486 655764 819705 874352 920229 1092940 1226972 1311528 1533715 1639410 1840458 2185880 2453944 2623056 3067430 3278820 3680916 4371760 4601145 4907888 6134860 6557640 7361832 7486639 9202290 12269720 13115280 14723664 14973278 18404580 22459917 24539440 29946556 36809160 37433195 44919834 59893112 73618320 74866390 89839668 112299585 119786224 122354633 149732780 179679336 224599170 244709266 299465560 359358672 367063899 449198340 489418532 598931120 611773165 734127798 898396680 978837064 1223546330 1468255596 1796793360 1835319495 1957674128 2447092660 2936511192 3670638990 4894185320 5873022384 7341277980 9788370640 14682555960 16762584721 29365111920 33525169442 50287754163 67050338884 83812923605 100575508326 134100677768 167625847210 201151016652 251438770815 268201355536 335251694420 402302033304 502877541630 670503388840 804604066608 1005755083260 1341006777680 2011510166520 4023020333040