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40404440020 = 2257437194531
BaseRepresentation
bin100101101000010010…
…101101001111010100
310212021212002012220111
4211220102231033110
51130222014040040
630321143212404
72630155034140
oct455022551724
9125255065814
1040404440020
111615428689a
1279b7447104
133a6bab9a99
141d541aa220
1510b7275dea
hex9684ad3d4

40404440020 has 96 divisors (see below), whose sum is σ = 100624398336. Its totient is φ = 13340073600.

The previous prime is 40404439993. The next prime is 40404440029. The reversal of 40404440020 is 2004440404.

It is a junction number, because it is equal to n+sod(n) for n = 40404439973 and 40404440000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40404440029) 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 31 ways as a sum of consecutive naturals, for example, 380155 + ... + 474685.

It is an arithmetic number, because the mean of its divisors is an integer number (1048170816).

Almost surely, 240404440020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40404440020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50312199168).

40404440020 is an abundant number, since it is smaller than the sum of its proper divisors (60219958316).

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

40404440020 is a wasteful number, since it uses less digits than its factorization.

40404440020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94661 (or 94659 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 40404440020 its reverse (2004440404), we get a palindrome (42408880424).

The spelling of 40404440020 in words is "forty billion, four hundred four million, four hundred forty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 71 86 140 142 172 215 284 301 355 430 497 602 710 860 994 1204 1420 1505 1988 2485 3010 3053 4970 6020 6106 9940 12212 15265 21371 30530 42742 61060 85484 94531 106855 189062 213710 378124 427420 472655 661717 945310 1323434 1890620 2646868 3308585 4064833 6617170 6711701 8129666 13234340 13423402 16259332 20324165 26846804 28453831 33558505 40648330 46981907 56907662 67117010 81296660 93963814 113815324 134234020 142269155 187927628 234909535 284538310 288603143 469819070 569076620 577206286 939638140 1154412572 1443015715 2020222001 2886031430 4040444002 5772062860 8080888004 10101110005 20202220010 40404440020