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444100220321433 = 3131728320879113363
BaseRepresentation
bin110010011111010000010001…
…1111000000111111010011001
32011020102120021221002122211020
41210332200203320013322121
5431202114222400241213
64212304454050353053
7162354116313463314
oct14476404370077231
92136376257078736
10444100220321433
1111955a933780165
124198572128b789
13160a5617c71490
147b947cb47597b
1536520ec560923
hex193e823e07e99

444100220321433 has 64 divisors (see below), whose sum is σ = 677617366487040. Its totient is φ = 256292988576768.

The previous prime is 444100220321423. The next prime is 444100220321437. The reversal of 444100220321433 is 334123022001444.

It is not a de Polignac number, because 444100220321433 - 210 = 444100220320409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 444100220321394 and 444100220321403.

It is not an unprimeable number, because it can be changed into a prime (444100220321437) 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, 3917449210 + ... + 3917562572.

It is an arithmetic number, because the mean of its divisors is an integer number (10587771351360).

Almost surely, 2444100220321433 is an apocalyptic number.

It is an amenable number.

444100220321433 is a deficient number, since it is larger than the sum of its proper divisors (233517146165607).

444100220321433 is a wasteful number, since it uses less digits than its factorization.

444100220321433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134558.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 444100220321433 its reverse (334123022001444), we get a palindrome (778223242322877).

The spelling of 444100220321433 in words is "four hundred forty-four trillion, one hundred billion, two hundred twenty million, three hundred twenty-one thousand, four hundred thirty-three".

Divisors: 1 3 13 17 39 51 221 283 663 849 3679 4811 11037 14433 20879 62543 62637 113363 187629 271427 340089 354943 814281 1064829 1473719 1927171 4421157 4614259 5781513 5908757 13842777 17726271 25053223 32081729 75159669 76813841 96245187 100448869 230441523 301346607 417062477 545389393 1251187431 1305835297 1636168179 2366906077 3917505891 7090062109 7100718231 21270186327 30769779001 40237403309 92309337003 120712209927 523086243017 669834419791 1569258729051 2009503259373 8707847457283 11387185136447 26123542371849 34161555409341 148033406773811 444100220321433