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444041121320 = 23517653001649
BaseRepresentation
bin1100111011000101110…
…10011100111000101000
31120110010222201010210022
412131202322130320220
524233344011340240
6535553434140012
744036516153426
oct6354272347050
91513128633708
10444041121320
11161353700725
1272084581608
1332b469ac344
14176c534a116
15b83d0799b5
hex6762e9ce28

444041121320 has 32 divisors (see below), whose sum is σ = 1057862673000. Its totient is φ = 167168421888.

The previous prime is 444041121313. The next prime is 444041121361. The reversal of 444041121320 is 23121140444.

It can be written as a sum of positive squares in 4 ways, for example, as 441196179076 + 2844942244 = 664226^2 + 53338^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 444041121320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 326500145 + ... + 326501504.

Almost surely, 2444041121320 is an apocalyptic number.

444041121320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444041121320 is an abundant number, since it is smaller than the sum of its proper divisors (613821551680).

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

444041121320 is a wasteful number, since it uses less digits than its factorization.

444041121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653001677 (or 653001673 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 444041121320 its reverse (23121140444), we get a palindrome (467162261764).

The spelling of 444041121320 in words is "four hundred forty-four billion, forty-one million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 653001649 1306003298 2612006596 3265008245 5224013192 6530016490 11101028033 13060032980 22202056066 26120065960 44404112132 55505140165 88808224264 111010280330 222020560660 444041121320