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44132410411240 = 2352944119862331
BaseRepresentation
bin10100000100011011000001…
…01001010100100011101000
312210021000110120011112110211
422002031200221110203220
521241031134031124430
6233510052140550504
712203314162012204
oct1202154051244350
9183230416145424
1044132410411240
11130754a5169478
124b491a6b52434
131b8188c75a458
14ac803d093b04
15517eba46b72a
hex282360a548e8

44132410411240 has 64 divisors (see below), whose sum is σ = 102724437168000. Its totient is φ = 17043835173120.

The previous prime is 44132410411181. The next prime is 44132410411241. The reversal of 44132410411240 is 4211401423144.

It is a super-2 number, since 2×441324104112402 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (44132410411241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50746875 + ... + 51609205.

It is an arithmetic number, because the mean of its divisors is an integer number (1605069330750).

Almost surely, 244132410411240 is an apocalyptic number.

44132410411240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44132410411240 is an abundant number, since it is smaller than the sum of its proper divisors (58592026756760).

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

44132410411240 is a wasteful number, since it uses less digits than its factorization.

44132410411240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906490 (or 906486 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 44132410411240 its reverse (4211401423144), we get a palindrome (48343811834384).

The spelling of 44132410411240 in words is "forty-four trillion, one hundred thirty-two billion, four hundred ten million, four hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 44119 88238 176476 220595 352952 441190 862331 882380 1279451 1724662 1764760 2558902 3449324 4311655 5117804 6397255 6898648 8623310 10235608 12794510 17246620 25007599 25589020 34493240 50015198 51178040 100030396 125037995 200060792 250075990 500151980 1000303960 38045181389 76090362778 152180725556 190225906945 304361451112 380451813890 760903627780 1103310260281 1521807255560 2206620520562 4413241041124 5516551301405 8826482082248 11033102602810 22066205205620 44132410411240