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4103433202240 = 265412243139439
BaseRepresentation
bin111011101101100111101…
…011011010101001000000
3112112021200022111210021101
4323231213223122221000
51014212312344432430
612421031410304144
7602314620502441
oct73554753325100
915467608453241
104103433202240
111342290080399
12563333588054
13239c4b987698
141028703312c8
1571b16809dca
hex3bb67adaa40

4103433202240 has 112 divisors (see below), whose sum is σ = 10014159133440. Its totient is φ = 1600614379520.

The previous prime is 4103433202181. The next prime is 4103433202261. The reversal of 4103433202240 is 422023343014.

It is a junction number, because it is equal to n+sod(n) for n = 4103433202199 and 4103433202208.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29358441 + ... + 29497879.

It is an arithmetic number, because the mean of its divisors is an integer number (89412135120).

Almost surely, 24103433202240 is an apocalyptic number.

4103433202240 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 4103433202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5007079566720).

4103433202240 is an abundant number, since it is smaller than the sum of its proper divisors (5910725931200).

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

4103433202240 is a wasteful number, since it uses less digits than its factorization.

4103433202240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141740 (or 141730 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 4103433202240 its reverse (422023343014), we get a palindrome (4525456545254).

The spelling of 4103433202240 in words is "four trillion, one hundred three billion, four hundred thirty-three million, two hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 656 820 1312 1640 2243 2624 3280 4486 6560 8972 11215 13120 17944 22430 35888 44860 71776 89720 91963 139439 143552 179440 183926 278878 358880 367852 459815 557756 697195 717760 735704 919630 1115512 1394390 1471408 1839260 2231024 2788780 2942816 3678520 4462048 5577560 5716999 5885632 7357040 8924096 11155120 11433998 14714080 22310240 22867996 28584995 29428160 44620480 45735992 57169990 91471984 114339980 182943968 228679960 312761677 365887936 457359920 625523354 914719840 1251046708 1563808385 1829439680 2502093416 3127616770 5004186832 6255233540 10008373664 12510467080 12823228757 20016747328 25020934160 25646457514 50041868320 51292915028 64116143785 100083736640 102585830056 128232287570 205171660112 256464575140 410343320224 512929150280 820686640448 1025858300560 2051716601120 4103433202240