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444241440444444 = 2233491453556913109
BaseRepresentation
bin110010100000010010000010…
…1010000001001000000011100
32011020221001210210200012200120
41211000210011100021000130
5431211422432223210234
64212453411135554540
7162400246011641466
oct14500440520110034
92136831723605616
10444241440444444
11119604811864825
12419a8b7368ba50
13160b5a32552046
147b9b586b51136
153655b15445049
hex194090540901c

444241440444444 has 96 divisors (see below), whose sum is σ = 1040515056840000. Its totient is φ = 147516809527296.

The previous prime is 444241440444433. The next prime is 444241440444469. The reversal of 444241440444444 is 444444044142444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33888271762 + ... + 33888284870.

It is an arithmetic number, because the mean of its divisors is an integer number (10838698508750).

Almost surely, 2444241440444444 is an apocalyptic number.

It is an amenable number.

444241440444444 is an abundant number, since it is smaller than the sum of its proper divisors (596273616395556).

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

444241440444444 is a wasteful number, since it uses less digits than its factorization.

444241440444444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20487 (or 20485 counting only the distinct ones).

The product of its (nonzero) digits is 33554432, while the sum is 51.

Adding to 444241440444444 its reverse (444444044142444), we get a palindrome (888685484586888).

The spelling of 444241440444444 in words is "four hundred forty-four trillion, two hundred forty-one billion, four hundred forty million, four hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 349 698 1047 1396 1453 2094 2906 4188 4359 5569 5812 8718 11138 13109 16707 17436 22276 26218 33414 39327 52436 66828 78654 157308 507097 1014194 1521291 1943581 2028388 3042582 3887162 4575041 5830743 6085164 7774324 8091757 9150082 11661486 13725123 16183514 18300164 19047377 23322972 24275271 27450246 32367028 38094754 48550542 54900492 57142131 73004021 76189508 97101084 114284262 146008042 219012063 228568524 292016084 438024126 876048252 2824023193 5648046386 6647534573 8472069579 11296092772 13295069146 16944139158 19942603719 25478403329 26590138292 33888278316 39885207438 50956806658 76435209987 79770414876 101913613316 106074842513 152870419974 212149685026 305740839948 318224527539 424299370052 636449055078 1272898110156 37020120037037 74040240074074 111060360111111 148080480148148 222120720222222 444241440444444