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440232032320340 = 225136859724683297
BaseRepresentation
bin110010000011000111000000…
…1111001111011101101010100
32010201201202211020221021201112
41210012032001321323231110
5430200230200233222330
64200143445333114152
7161504500104125201
oct14406160171735524
92121652736837645
10440232032320340
111182a93a1468287
124145bb00a88958
1315b8491957bc90
147a9d4b611cca8
1535d66a3542795
hex1906381e7bb54

440232032320340 has 48 divisors (see below), whose sum is σ = 995616227207952. Its totient is φ = 162544835751936.

The previous prime is 440232032320337. The next prime is 440232032320343. The reversal of 440232032320340 is 43023230232044.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (440232032320337) and next prime (440232032320343).

It can be written as a sum of positive squares in 8 ways, for example, as 110710716311056 + 329521316009284 = 10521916^2 + 18152722^2 .

It is a junction number, because it is equal to n+sod(n) for n = 440232032320297 and 440232032320306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440232032320343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5493572 + ... + 30176868.

It is an arithmetic number, because the mean of its divisors is an integer number (20742004733499).

Almost surely, 2440232032320340 is an apocalyptic number.

It is an amenable number.

440232032320340 is an abundant number, since it is smaller than the sum of its proper divisors (555384194887612).

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

440232032320340 is a wasteful number, since it uses less digits than its factorization.

440232032320340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24751916 (or 24751914 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 440232032320340 its reverse (43023230232044), we get a palindrome (483255262552384).

The spelling of 440232032320340 in words is "four hundred forty trillion, two hundred thirty-two billion, thirty-two million, three hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 68597 137194 274388 342985 685970 891761 1371940 1783522 3567044 4458805 8917610 17835220 24683297 49366594 98733188 123416485 246832970 320882861 493665940 641765722 1283531444 1604414305 3208828610 6417657220 1693200124309 3386400248618 6772800497236 8466000621545 16932001243090 22011601616017 33864002486180 44023203232034 88046406464068 110058008080085 220116016160170 440232032320340