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44044440240 = 2435417956659
BaseRepresentation
bin101001000001010000…
…001101001010110000
311012200112101101111110
4221001100031022300
51210200334041430
632122253113320
73116314364523
oct510120151260
9135615341443
1044044440240
1117751a35939
128652488840
1341cbc63878
1421bb7acbba
15122bad97b0
hexa4140d2b0

44044440240 has 160 divisors (see below), whose sum is σ = 141640934400. Its totient is φ = 11313469440.

The previous prime is 44044440173. The next prime is 44044440241. The reversal of 44044440240 is 4204444044.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 44044440198 and 44044440207.

It is not an unprimeable number, because it can be changed into a prime (44044440241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 749031 + ... + 805689.

It is an arithmetic number, because the mean of its divisors is an integer number (885255840).

Almost surely, 244044440240 is an apocalyptic number.

44044440240 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 44044440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70820467200).

44044440240 is an abundant number, since it is smaller than the sum of its proper divisors (97596494160).

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

44044440240 is a wasteful number, since it uses less digits than its factorization.

44044440240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56795 (or 56789 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 44044440240 its reverse (4204444044), we get a palindrome (48248884284).

The spelling of 44044440240 in words is "forty-four billion, forty-four million, four hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 79 80 82 120 123 158 164 205 237 240 246 316 328 395 410 474 492 615 632 656 790 820 948 984 1185 1230 1264 1580 1640 1896 1968 2370 2460 3160 3239 3280 3792 4740 4920 6320 6478 9480 9717 9840 12956 16195 18960 19434 25912 32390 38868 48585 51824 56659 64780 77736 97170 113318 129560 155472 169977 194340 226636 259120 283295 339954 388680 453272 566590 679908 777360 849885 906544 1133180 1359816 1699770 2266360 2323019 2719632 3399540 4476061 4532720 4646038 6799080 6969057 8952122 9292076 11615095 13428183 13598160 13938114 17904244 18584152 22380305 23230190 26856366 27876228 34845285 35808488 37168304 44760610 46460380 53712732 55752456 67140915 69690570 71616976 89521220 92920760 107425464 111504912 134281830 139381140 179042440 183518501 185841520 214850928 268563660 278762280 358084880 367037002 537127320 550555503 557524560 734074004 917592505 1074254640 1101111006 1468148008 1835185010 2202222012 2752777515 2936296016 3670370020 4404444024 5505555030 7340740040 8808888048 11011110060 14681480080 22022220120 44044440240