Search a number
-
+
4440010443040 = 255193494184899
BaseRepresentation
bin100000010011100010100…
…1111101100100100100000
3120201110102221222011120201
41000213011033230210200
51040221120133134130
613235413532514544
7635531412031114
oct100470517544440
916643387864521
104440010443040
111461aa8165017
125b860661ba54
132628ca704733
14114c7d22b744
157a76524ebca
hex409c53ec920

4440010443040 has 96 divisors (see below), whose sum is σ = 11073245400000. Its totient is φ = 1677708868608.

The previous prime is 4440010442957. The next prime is 4440010443067. The reversal of 4440010443040 is 403440100444.

It is a super-4 number, since 4×44400104430404 (a number of 52 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1031490 + ... + 3153409.

It is an arithmetic number, because the mean of its divisors is an integer number (115346306250).

Almost surely, 24440010443040 is an apocalyptic number.

4440010443040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4440010443040 is an abundant number, since it is smaller than the sum of its proper divisors (6633234956960).

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

4440010443040 is a wasteful number, since it uses less digits than its factorization.

4440010443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4185282 (or 4185274 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 4440010443040 its reverse (403440100444), we get a palindrome (4843450543484).

The spelling of 4440010443040 in words is "four trillion, four hundred forty billion, ten million, four hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 349 380 608 698 760 1396 1520 1745 2792 3040 3490 5584 6631 6980 11168 13262 13960 26524 27920 33155 53048 55840 66310 106096 132620 212192 265240 530480 1060960 4184899 8369798 16739596 20924495 33479192 41848990 66958384 79513081 83697980 133916768 159026162 167395960 318052324 334791920 397565405 636104648 669583840 795130810 1272209296 1460529751 1590261620 2544418592 2921059502 3180523240 5842119004 6361046480 7302648755 11684238008 12722092960 14605297510 23368476016 27750065269 29210595020 46736952032 55500130538 58421190040 111000261076 116842380080 138750326345 222000522152 233684760160 277500652690 444001044304 555001305380 888002088608 1110002610760 2220005221520 4440010443040