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40314440000 = 26541007861
BaseRepresentation
bin100101100010111011…
…011000100101000000
310212001120201202002102
4211202323120211000
51130030444040000
630304210205532
72625013041332
oct454273304500
9125046652072
1040314440000
11161084a550a
1279912838a8
133a56267b33
141d4625d452
1510ae3e93d5
hex962ed8940

40314440000 has 70 divisors (see below), whose sum is σ = 99966808194. Its totient is φ = 16125760000.

The previous prime is 40314439973. The next prime is 40314440003. The reversal of 40314440000 is 4441304.

It can be written as a sum of positive squares in 5 ways, for example, as 8539238464 + 31775201536 = 92408^2 + 178256^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40314440003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 463931 + ... + 543930.

Almost surely, 240314440000 is an apocalyptic number.

40314440000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40314440000 is an abundant number, since it is smaller than the sum of its proper divisors (59652368194).

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

40314440000 is an equidigital number, since it uses as much as digits as its factorization.

40314440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007893 (or 1007868 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 40314440000 its reverse (4441304), we get a palindrome (40318881304).

The spelling of 40314440000 in words is "forty billion, three hundred fourteen million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 40000 1007861 2015722 4031444 5039305 8062888 10078610 16125776 20157220 25196525 32251552 40314440 50393050 64503104 80628880 100786100 125982625 161257760 201572200 251965250 322515520 403144400 503930500 629913125 806288800 1007861000 1259826250 1612577600 2015722000 2519652500 4031444000 5039305000 8062888000 10078610000 20157220000 40314440000