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444100221414122 = 272132913191757647
BaseRepresentation
bin110010011111010000010001…
…1111100010010101011101010
32011020102120022000011011201012
41210332200203330102223222
5431202114223140222442
64212304454130023522
7162354116325664100
oct14476404374225352
92136376260134635
10444100221414122
1111955a934357109
1241985721717ba2
13160a5618264940
147b947cb67bc70
1536520ec6c9582
hex193e823f12aea

444100221414122 has 96 divisors (see below), whose sum is σ = 869884524875520. Its totient is φ = 168334907045760.

The previous prime is 444100221414121. The next prime is 444100221414127. The reversal of 444100221414122 is 221414122001444.

It is a happy number.

It is a super-2 number, since 2×4441002214141222 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (444100221414121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41038898 + ... + 50718749.

It is an arithmetic number, because the mean of its divisors is an integer number (9061297134120).

Almost surely, 2444100221414122 is an apocalyptic number.

444100221414122 is a deficient number, since it is larger than the sum of its proper divisors (425784303461398).

444100221414122 is a wasteful number, since it uses less digits than its factorization.

444100221414122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91757836 (or 91757829 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 444100221414122 its reverse (221414122001444), we get a palindrome (665514343415566).

The spelling of 444100221414122 in words is "four hundred forty-four trillion, one hundred billion, two hundred twenty-one million, four hundred fourteen thousand, one hundred twenty-two".

Divisors: 1 2 7 13 14 26 29 49 58 91 98 131 182 203 262 377 406 637 754 917 1274 1421 1703 1834 2639 2842 3406 3799 5278 6419 7598 11921 12838 18473 23842 26593 36946 49387 53186 83447 98774 166894 186151 345709 372302 691418 2419963 4839926 91757647 183515294 642303529 1192849411 1284607058 2385698822 2660971763 4496124703 5321943526 8349945877 8992249406 12020251757 16699891754 18626802341 24040503514 34592632919 37253604682 58449621139 69185265838 84141762299 116899242278 130387616387 156263272841 168283524598 242148430433 260775232774 312526545682 348587300953 484296860866 588992336093 697174601906 1093842909887 1177984672186 1695039013031 2187685819774 2440111106671 3390078026062 4531634912389 4880222213342 7656900369209 9063269824778 15313800738418 17080777746697 31721444386723 34161555493394 63442888773446 222050110707061 444100221414122