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444023312120011 = 135397251195113567
BaseRepresentation
bin110010011110101100011101…
…1110010100111100011001011
32011020011012210001202020010201
41210331120323302213203023
5431144334220400320021
64212205254340553031
7162345424413530611
oct14475307362474313
92136135701666121
10444023312120011
11119530258034118
12419728389b2777
131609b2ac5526a0
147b90bb319b6b1
1536500ea71a591
hex193d63bca78cb

444023312120011 has 64 divisors (see below), whose sum is σ = 494474682433536. Its totient is φ = 396170611200000.

The previous prime is 444023312119943. The next prime is 444023312120083. The reversal of 444023312120011 is 110021213320444.

It is a happy number.

It is not a de Polignac number, because 444023312120011 - 247 = 303285823764683 is a prime.

It is not an unprimeable number, because it can be changed into a prime (444023312120411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32728180150 + ... + 32728193716.

It is an arithmetic number, because the mean of its divisors is an integer number (7726166913024).

Almost surely, 2444023312120011 is an apocalyptic number.

444023312120011 is a deficient number, since it is larger than the sum of its proper divisors (50451370313525).

444023312120011 is a wasteful number, since it uses less digits than its factorization.

444023312120011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15932.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 444023312120011 its reverse (110021213320444), we get a palindrome (554044525440455).

The spelling of 444023312120011 in words is "four hundred forty-four trillion, twenty-three billion, three hundred twelve million, one hundred twenty thousand, eleven".

Divisors: 1 13 53 97 251 689 1261 1951 3263 5141 13303 13567 24347 25363 66833 103403 172939 176371 189247 316511 489701 719051 1290391 1315999 1344239 2460211 3405317 6366113 9347663 10030091 16775083 17107987 25954153 26469217 44269121 47500997 69747947 130391183 180481801 330315749 337403989 344099821 617512961 906723311 1402868501 2346263413 2517552841 2567514049 4294104737 6643773467 17506734697 18237290513 32728186933 33377682637 86369055071 136078244597 227587551061 352119993751 644446026299 1769017179761 4577559918763 8377798341887 34155639393847 444023312120011