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40105737381282 = 23107129759818053
BaseRepresentation
bin10010001111001110110000…
…01110101110010110100010
312021000001220210110112002020
421013213120032232112202
520224043022232200112
6221144153231202310
711306354363001246
oct1107473016562642
9167001823415066
1040105737381282
11118628252196a1
1245b8916376396
13194bc54932a71
149c91b1506426
154983979b648c
hex2479d83ae5a2

40105737381282 has 64 divisors (see below), whose sum is σ = 81047146333824. Its totient is φ = 13229572561920.

The previous prime is 40105737381239. The next prime is 40105737381373. The reversal of 40105737381282 is 28218373750104.

40105737381282 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4980219168 + ... + 4980227220.

It is an arithmetic number, because the mean of its divisors is an integer number (1266361661466).

Almost surely, 240105737381282 is an apocalyptic number.

40105737381282 is an abundant number, since it is smaller than the sum of its proper divisors (40941408952542).

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

40105737381282 is a wasteful number, since it uses less digits than its factorization.

40105737381282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15443.

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 40105737381282 in words is "forty trillion, one hundred five billion, seven hundred thirty-seven million, three hundred eighty-one thousand, two hundred eighty-two".

Divisors: 1 2 3 6 107 214 321 642 1297 2594 3891 5981 7782 8053 11962 16106 17943 24159 35886 48318 138779 277558 416337 639967 832674 861671 1279934 1723342 1919901 2585013 3839802 5170026 7757357 10444741 15514714 20889482 23272071 31334223 46544142 48164993 62668446 96329986 144494979 288989958 830037199 1117587287 1660074398 2235174574 2490111597 3352761861 4980223194 5153654251 6705523722 10307308502 15460962753 30921925506 62469995921 124939991842 187409987763 374819975526 6684289563547 13368579127094 20052868690641 40105737381282