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444120414240299 = 37731813072959097
BaseRepresentation
bin110010011111011001101011…
…1100001110011111000101011
32011020111111102021112000202012
41210332303113201303320223
5431202432102021142144
64212322033544230135
7162355432612116326
oct14476632741637053
92136444367460665
10444120414240299
11119568456709305
124198961816b34b
13160a74b58844b4
147b957853d97bd
1536528d0333e9e
hex193ecd7873e2b

444120414240299 has 32 divisors (see below), whose sum is σ = 466441055336256. Its totient is φ = 422462323906560.

The previous prime is 444120414240287. The next prime is 444120414240329. The reversal of 444120414240299 is 992042414021444.

It is a cyclic number.

It is not a de Polignac number, because 444120414240299 - 248 = 162645437529643 is a prime.

It is not an unprimeable number, because it can be changed into a prime (444120414243299) by changing a digit.

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, 148606919 + ... + 151566015.

It is an arithmetic number, because the mean of its divisors is an integer number (14576282979258).

Almost surely, 2444120414240299 is an apocalyptic number.

444120414240299 is a deficient number, since it is larger than the sum of its proper divisors (22320641095957).

444120414240299 is a wasteful number, since it uses less digits than its factorization.

444120414240299 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959695.

The product of its (nonzero) digits is 2654208, while the sum is 50.

The spelling of 444120414240299 in words is "four hundred forty-four trillion, one hundred twenty billion, four hundred fourteen million, two hundred forty thousand, two hundred ninety-nine".

Divisors: 1 37 73 181 307 2701 6697 11359 13213 22411 55567 488881 829207 2055979 2959097 4056391 109486589 150086467 216014081 535596557 908442779 7992520997 19817072609 33612382823 39098548661 66316322867 164428142999 1446646300457 2453703946079 6083841290963 12003254438927 444120414240299