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41312444332040 = 2357601245498243
BaseRepresentation
bin10010110010010110011011…
…00100011011100000001000
312102021102122021111000212022
421121023031210123200020
520403330341222111130
6223510401441104012
711462503611563510
oct1131131544334010
9172242567430768
1041312444332040
11121885668a30a2
124772766028008
131a089928ba58b
14a2b7666a6840
154b99713d17e5
hex2592cd91b808

41312444332040 has 64 divisors (see below), whose sum is σ = 106408758879360. Its totient is φ = 14140698739200.

The previous prime is 41312444331971. The next prime is 41312444332091. The reversal of 41312444332040 is 4023344421314.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122580842 + ... + 122917401.

It is an arithmetic number, because the mean of its divisors is an integer number (1662636857490).

Almost surely, 241312444332040 is an apocalyptic number.

41312444332040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41312444332040 is an abundant number, since it is smaller than the sum of its proper divisors (65096314547320).

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

41312444332040 is a wasteful number, since it uses less digits than its factorization.

41312444332040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245498862 (or 245498858 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 41312444332040 its reverse (4023344421314), we get a palindrome (45335788753354).

The spelling of 41312444332040 in words is "forty-one trillion, three hundred twelve billion, four hundred forty-four million, three hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 601 1202 2404 3005 4207 4808 6010 8414 12020 16828 21035 24040 33656 42070 84140 168280 245498243 490996486 981992972 1227491215 1718487701 1963985944 2454982430 3436975402 4909964860 6873950804 8592438505 9819929720 13747901608 17184877010 34369754020 68739508040 147544444043 295088888086 590177776172 737722220215 1032811108301 1180355552344 1475444440430 2065622216602 2950888880860 4131244433204 5164055541505 5901777761720 8262488866408 10328111083010 20656222166020 41312444332040