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44021141040 = 24351920814639
BaseRepresentation
bin101000111111110111…
…010100111000110000
311012121220112200000010
4220333313110320300
51210123403003130
632120101454520
73115612345032
oct507767247060
9135556480003
1044021141040
111773a8718a8
128646711440
1341c7196866
1421b8665c52
151229a360b0
hexa3fdd4e30

44021141040 has 160 divisors (see below), whose sum is σ = 143747942400. Its totient is φ = 11113390080.

The previous prime is 44021141033. The next prime is 44021141069. The reversal of 44021141040 is 4014112044.

It is a junction number, because it is equal to n+sod(n) for n = 44021140998 and 44021141016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9487041 + ... + 9491679.

It is an arithmetic number, because the mean of its divisors is an integer number (898424640).

Almost surely, 244021141040 is an apocalyptic number.

44021141040 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 44021141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71873971200).

44021141040 is an abundant number, since it is smaller than the sum of its proper divisors (99726801360).

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

44021141040 is a wasteful number, since it uses less digits than its factorization.

44021141040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6755 (or 6749 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 44021141040 its reverse (4014112044), we get a palindrome (48035253084).

The spelling of 44021141040 in words is "forty-four billion, twenty-one million, one hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2081 2280 4162 4560 4639 6243 8324 9278 10405 12486 13917 16648 18556 20810 23195 24972 27834 31215 33296 37112 39539 41620 46390 49944 55668 62430 69585 74224 79078 83240 88141 92780 99888 111336 118617 124860 139170 158156 166480 176282 185560 197695 222672 237234 249720 264423 278340 316312 352564 371120 395390 440705 474468 499440 528846 556680 593085 632624 705128 790780 881410 948936 1057692 1113360 1186170 1322115 1410256 1581560 1762820 1897872 2115384 2372340 2644230 3163120 3525640 4230768 4744680 5288460 7051280 9489360 9653759 10576920 19307518 21153840 28961277 38615036 48268795 57922554 77230072 96537590 115845108 144806385 154460144 183421421 193075180 231690216 289612770 366842842 386150360 463380432 550264263 579225540 733685684 772300720 917107105 1100528526 1158451080 1467371368 1834214210 2201057052 2316902160 2751321315 2934742736 3668428420 4402114104 5502642630 7336856840 8804228208 11005285260 14673713680 22010570520 44021141040