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40415427234105 = 35711371974800619
BaseRepresentation
bin10010011000001111100110…
…01011110000100100111001
312022002200021121120002000020
421030013303023300210321
520244131243332442410
6221542331351401053
711340626651214450
oct1114076313604471
9168080247502006
1040415427234105
11119720a5055820
124648944983189
13197220a10a4a1
149da18d515b97
154a1470bbca70
hex24c1f32f0939

40415427234105 has 128 divisors (see below), whose sum is σ = 83220168683520. Its totient is φ = 16259117091840.

The previous prime is 40415427234103. The next prime is 40415427234121. The reversal of 40415427234105 is 50143272451404.

It is not a de Polignac number, because 40415427234105 - 21 = 40415427234103 is a prime.

It is a super-2 number, since 2×404154272341052 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40415427234103) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6018486 + ... + 10819104.

It is an arithmetic number, because the mean of its divisors is an integer number (650157567840).

Almost surely, 240415427234105 is an apocalyptic number.

It is an amenable number.

40415427234105 is an abundant number, since it is smaller than the sum of its proper divisors (42804741449415).

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

40415427234105 is a wasteful number, since it uses less digits than its factorization.

40415427234105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4800879.

The product of its (nonzero) digits is 537600, while the sum is 42.

Adding to 40415427234105 its reverse (50143272451404), we get a palindrome (90558699685509).

The spelling of 40415427234105 in words is "forty trillion, four hundred fifteen billion, four hundred twenty-seven million, two hundred thirty-four thousand, one hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 37 55 77 105 111 165 185 197 231 259 385 407 555 591 777 985 1155 1221 1295 1379 2035 2167 2849 2955 3885 4137 6105 6501 6895 7289 8547 10835 14245 15169 20685 21867 32505 36445 42735 45507 51023 75845 80179 109335 153069 227535 240537 255115 400895 561253 765345 1202685 1683759 2806265 4800619 8418795 14401857 24003095 33604333 52806809 72009285 100812999 158420427 168021665 177622903 264034045 369647663 504064995 532868709 792102135 888114515 945721943 1108942989 1243360321 1848238315 1953851933 2664343545 2837165829 3730080963 4728609715 5544714945 5861555799 6216801605 6620053601 9769259665 10402941373 13676963531 14185829145 18650404815 19860160803 29307778995 31208824119 33100268005 34991711891 41030890593 52014706865 68384817655 72820589611 99300804015 104975135673 156044120595 174958559455 205154452965 218461768833 244941983237 364102948055 384908830801 524875678365 734825949711 1092308844165 1154726492403 1224709916185 1924544154005 2694361815607 3674129748555 5773632462015 8083085446821 13471809078035 40415427234105