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444112100230330 = 25729233938946067
BaseRepresentation
bin110010011111010101110011…
…1111110011000010010111010
32011020110200221212020120011001
41210332223213332120102322
5431202313040124332310
64212314140550155214
7162355016566156240
oct14476534776302272
92136420855216131
10444112100230330
1111956497a668594
1241987a97952b0a
13160a678c27977c
147b951d7152790
1536525954ad93a
hex193eae7f984ba

444112100230330 has 64 divisors (see below), whose sum is σ = 949161801219840. Its totient is φ = 146385447473664.

The previous prime is 444112100230291. The next prime is 444112100230369. The reversal of 444112100230330 is 33032001211444.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (444112100230291) and next prime (444112100230369).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469000044 + ... + 469946023.

It is an arithmetic number, because the mean of its divisors is an integer number (14830653144060).

Almost surely, 2444112100230330 is an apocalyptic number.

444112100230330 is an abundant number, since it is smaller than the sum of its proper divisors (505049700989510).

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

444112100230330 is a wasteful number, since it uses less digits than its factorization.

444112100230330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938946343.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 444112100230330 its reverse (33032001211444), we get a palindrome (477144101441774).

The spelling of 444112100230330 in words is "four hundred forty-four trillion, one hundred twelve billion, one hundred million, two hundred thirty thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 29 35 58 70 145 203 233 290 406 466 1015 1165 1631 2030 2330 3262 6757 8155 13514 16310 33785 47299 67570 94598 236495 472990 938946067 1877892134 4694730335 6572622469 9389460670 13145244938 27229435943 32863112345 54458871886 65726224690 136147179715 190606051601 218774433611 272294359430 381212103202 437548867222 953030258005 1093872168055 1531421035277 1906060516010 2187744336110 3062842070554 6344458574719 7657105176385 12688917149438 15314210352770 31722292873595 44411210023033 63444585747190 88822420046066 222056050115165 444112100230330