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40313434240 = 27597164871
BaseRepresentation
bin100101100010110111…
…100011000010000000
310212001111211122110001
4211202313203002000
51130030214343430
630304132445344
72625001352152
oct454267430200
9125044748401
1040313434240
1116107978902
127990a79854
133a55ca5101
141d4607aad2
1510ae29b3ca
hex962de3080

40313434240 has 64 divisors (see below), whose sum is σ = 96475043520. Its totient is φ = 16108518400.

The previous prime is 40313434201. The next prime is 40313434247. The reversal of 40313434240 is 4243431304.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 40313434199 and 40313434208.

It is not an unprimeable number, because it can be changed into a prime (40313434247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 589005 + ... + 653875.

It is an arithmetic number, because the mean of its divisors is an integer number (1507422555).

Almost surely, 240313434240 is an apocalyptic number.

40313434240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40313434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48237521760).

40313434240 is an abundant number, since it is smaller than the sum of its proper divisors (56161609280).

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

40313434240 is an equidigital number, since it uses as much as digits as its factorization.

40313434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65861 (or 65849 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 40313434240 its reverse (4243431304), we get a palindrome (44556865544).

The spelling of 40313434240 in words is "forty billion, three hundred thirteen million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 971 1942 3884 4855 7768 9710 15536 19420 31072 38840 62144 64871 77680 124288 129742 155360 259484 310720 324355 518968 621440 648710 1037936 1297420 2075872 2594840 4151744 5189680 8303488 10379360 20758720 41517440 62989741 125979482 251958964 314948705 503917928 629897410 1007835856 1259794820 2015671712 2519589640 4031343424 5039179280 8062686848 10078358560 20156717120 40313434240