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4043114443440 = 2432512134629379
BaseRepresentation
bin111010110101011100011…
…001100111001010110000
3112022111222121010100122200
4322311130121213022300
51012220244244142230
612333214154103200
7565051100506002
oct72653431471260
915274877110580
104043114443440
111319747777106
125536baa1ab00
13234358192227
14dd98b3c4372
15702860e0160
hex3ad5c6672b0

4043114443440 has 120 divisors (see below), whose sum is σ = 13589322779760. Its totient is φ = 1077274778112.

The previous prime is 4043114443429. The next prime is 4043114443463. The reversal of 4043114443440 is 443444113404.

4043114443440 is a `hidden beast` number, since 4 + 0 + 4 + 31 + 144 + 43 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4043114443395 and 4043114443404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1441330 + ... + 3188049.

It is an arithmetic number, because the mean of its divisors is an integer number (113244356498).

Almost surely, 24043114443440 is an apocalyptic number.

4043114443440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4043114443440 is an abundant number, since it is smaller than the sum of its proper divisors (9546208336320).

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

4043114443440 is a wasteful number, since it uses less digits than its factorization.

4043114443440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4630611 (or 4630602 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 4043114443440 its reverse (443444113404), we get a palindrome (4486558556844).

The spelling of 4043114443440 in words is "four trillion, forty-three billion, one hundred fourteen million, four hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1213 2426 3639 4852 6065 7278 9704 10917 12130 14556 18195 19408 21834 24260 29112 36390 43668 48520 54585 58224 72780 87336 97040 109170 145560 174672 218340 291120 436680 873360 4629379 9258758 13888137 18517516 23146895 27776274 37035032 41664411 46293790 55552548 69440685 74070064 83328822 92587580 111105096 138881370 166657644 185175160 208322055 222210192 277762740 333315288 370350320 416644110 555525480 666630576 833288220 1111050960 1666576440 3333152880 5615436727 11230873454 16846310181 22461746908 28077183635 33692620362 44923493816 50538930543 56154367270 67385240724 84231550905 89846987632 101077861086 112308734540 134770481448 168463101810 202155722172 224617469080 252694652715 269540962896 336926203620 404311444344 449234938160 505389305430 673852407240 808622888688 1010778610860 1347704814480 2021557221720 4043114443440