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44162432440 = 235710315110141
BaseRepresentation
bin101001001000010010…
…010011110110111000
311012222202102000100221
4221020102103312320
51210421040314230
632142110105424
73122246324230
oct511022236670
9135882360327
1044162432440
11178025a6155
128685aab274
13421a536939
1421cd324cc0
15123714527a
hexa48493db8

44162432440 has 128 divisors (see below), whose sum is σ = 115433809920. Its totient is φ = 14893632000.

The previous prime is 44162432437. The next prime is 44162432443. The reversal of 44162432440 is 4423426144.

It is an interprime number because it is at equal distance from previous prime (44162432437) and next prime (44162432443).

It is a junction number, because it is equal to n+sod(n) for n = 44162432396 and 44162432405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44162432443) 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, 4349770 + ... + 4359910.

It is an arithmetic number, because the mean of its divisors is an integer number (901826640).

Almost surely, 244162432440 is an apocalyptic number.

44162432440 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 44162432440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57716904960).

44162432440 is an abundant number, since it is smaller than the sum of its proper divisors (71271377480).

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

44162432440 is a wasteful number, since it uses less digits than its factorization.

44162432440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10413 (or 10409 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 44162432440 its reverse (4423426144), we get a palindrome (48585858584).

The spelling of 44162432440 in words is "forty-four billion, one hundred sixty-two million, four hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 103 140 151 206 280 302 412 515 604 721 755 824 1030 1057 1208 1442 1510 2060 2114 2884 3020 3605 4120 4228 5285 5768 6040 7210 8456 10141 10570 14420 15553 20282 21140 28840 31106 40564 42280 50705 62212 70987 77765 81128 101410 108871 124424 141974 155530 202820 217742 283948 311060 354935 405640 435484 544355 567896 622120 709870 870968 1044523 1088710 1419740 1531291 2089046 2177420 2839480 3062582 4178092 4354840 5222615 6125164 7311661 7656455 8356184 10445230 10719037 12250328 14623322 15312910 20890460 21438074 29246644 30625820 36558305 41780920 42876148 53595185 58493288 61251640 73116610 85752296 107190370 146233220 157722973 214380740 292466440 315445946 428761480 630891892 788614865 1104060811 1261783784 1577229730 2208121622 3154459460 4416243244 5520304055 6308918920 8832486488 11040608110 22081216220 44162432440