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44105615040 = 2635192418071
BaseRepresentation
bin101001000100111001…
…100100011011000000
311012211210111101112210
4221010321210123000
51210312014140130
632132320222120
73120656353644
oct510471443300
9135753441483
1044105615040
1117783519423
12866aa6a940
13420b832486
1421c5974c24
1512321705b0
hexa44e646c0

44105615040 has 112 divisors (see below), whose sum is σ = 147405669120. Its totient is φ = 11142466560.

The previous prime is 44105614961. The next prime is 44105615053. The reversal of 44105615040 is 4051650144.

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 = 44105614989 and 44105615007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1190796 + ... + 1227275.

Almost surely, 244105615040 is an apocalyptic number.

44105615040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44105615040 is an abundant number, since it is smaller than the sum of its proper divisors (103300054080).

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

44105615040 is a wasteful number, since it uses less digits than its factorization.

44105615040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418110 (or 2418100 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 44105615040 in words is "forty-four billion, one hundred five million, six hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 760 912 960 1140 1216 1520 1824 2280 3040 3648 4560 6080 9120 18240 2418071 4836142 7254213 9672284 12090355 14508426 19344568 24180710 29016852 36271065 38689136 45943349 48361420 58033704 72542130 77378272 91886698 96722840 116067408 137830047 145084260 154756544 183773396 193445680 229716745 232134816 275660094 290168520 367546792 386891360 459433490 464269632 551320188 580337040 689150235 735093584 773782720 918866980 1102640376 1160674080 1378300470 1470187168 1837733960 2205280752 2321348160 2756600940 2940374336 3675467920 4410561504 5513201880 7350935840 8821123008 11026403760 14701871680 22052807520 44105615040