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444301230132 = 2236187381349
BaseRepresentation
bin1100111011100100110…
…10101100000000110100
31120110211010011001000000
412131302122230000310
524234412103331012
6540035325151300
744046125100234
oct6356232540064
91513733131000
10444301230132
11161477509291
12721376bb530
1332b88850c96
141770bad7cc4
15b855d08ddc
hex67726ac034

444301230132 has 84 divisors (see below), whose sum is σ = 1166394184900. Its totient is φ = 148019519232.

The previous prime is 444301230097. The next prime is 444301230167. The reversal of 444301230132 is 231032103444.

It is an interprime number because it is at equal distance from previous prime (444301230097) and next prime (444301230167).

It can be written as a sum of positive squares in 2 ways, for example, as 6790419216 + 437510810916 = 82404^2 + 661446^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 444301230096 and 444301230105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5420994 + ... + 5502342.

Almost surely, 2444301230132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444301230132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583197092450).

444301230132 is an abundant number, since it is smaller than the sum of its proper divisors (722092954768).

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

444301230132 is a wasteful number, since it uses less digits than its factorization.

444301230132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83244 (or 83227 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 444301230132 its reverse (231032103444), we get a palindrome (675333333576).

The spelling of 444301230132 in words is "four hundred forty-four billion, three hundred one million, two hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 1873 2916 3746 5619 7492 11238 16857 22476 33714 50571 67428 81349 101142 151713 162698 202284 244047 303426 325396 455139 488094 606852 732141 910278 976188 1365417 1464282 1820556 2196423 2730834 2928564 4392846 5461668 6589269 8785692 13178538 19767807 26357076 39535614 59303421 79071228 118606842 152366677 237213684 304733354 457100031 609466708 914200062 1371300093 1828400124 2742600186 4113900279 5485200372 8227800558 12341700837 16455601116 24683401674 37025102511 49366803348 74050205022 111075307533 148100410044 222150615066 444301230132