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44142044100 = 223527111910911
BaseRepresentation
bin101001000111000100…
…100010001111000100
311012221100001011211020
4221013010202033010
51210400330402400
632140101111140
73121611120060
oct510704421704
9135840034736
1044142044100
11177a2040090
12867b0b84b0
13421624882b
1421ca738aa0
1512354692a0
hexa471223c4

44142044100 has 144 divisors (see below), whose sum is σ = 159232475136. Its totient is φ = 9172368000.

The previous prime is 44142044077. The next prime is 44142044119. The reversal of 44142044100 is 144024144.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 932356 + ... + 978555.

Almost surely, 244142044100 is an apocalyptic number.

It is an amenable number.

44142044100 is an abundant number, since it is smaller than the sum of its proper divisors (115090431036).

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

44142044100 is a wasteful number, since it uses less digits than its factorization.

44142044100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910946 (or 1910939 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 44142044100 its reverse (144024144), we get a palindrome (44286068244).

The spelling of 44142044100 in words is "forty-four billion, one hundred forty-two million, forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 150 154 165 175 210 220 231 275 300 308 330 350 385 420 462 525 550 660 700 770 825 924 1050 1100 1155 1540 1650 1925 2100 2310 3300 3850 4620 5775 7700 11550 23100 1910911 3821822 5732733 7643644 9554555 11465466 13376377 19109110 21020021 22930932 26752754 28663665 38218220 40129131 42040042 47772775 53505508 57327330 63060063 66881885 80258262 84080084 95545550 105100105 114654660 126120126 133763770 143318325 147140147 160516524 191091100 200645655 210200210 252240252 267527540 286636650 294280294 315300315 334409425 401291310 420400420 441420441 525500525 573273300 588560588 630600630 668818850 735700735 802582620 882840882 1003228275 1051001050 1261201260 1337637700 1471401470 1576501575 1765681764 2006456550 2102002100 2207102205 2942802940 3153003150 3678503675 4012913100 4414204410 6306006300 7357007350 8828408820 11035511025 14714014700 22071022050 44142044100