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444010144312 = 23773293370693
BaseRepresentation
bin1100111011000010001…
…00010010001000111000
31120110001211102100022201
412131201010102020320
524233313044104222
6535550410155544
744035661645440
oct6354104221070
91513054370281
10444010144312
11161338173199
1272076122bb4
1332b40454757
14176c11a5120
15b83a4ab427
hex6761112238

444010144312 has 64 divisors (see below), whose sum is σ = 967778239680. Its totient is φ = 187042286592.

The previous prime is 444010144289. The next prime is 444010144337. The reversal of 444010144312 is 213441010444.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1012438 + ... + 1383130.

It is an arithmetic number, because the mean of its divisors is an integer number (15121534995).

Almost surely, 2444010144312 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 444010144312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483889119840).

444010144312 is an abundant number, since it is smaller than the sum of its proper divisors (523768095368).

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

444010144312 is a wasteful number, since it uses less digits than its factorization.

444010144312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371072 (or 371068 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 444010144312 its reverse (213441010444), we get a palindrome (657451154756).

The spelling of 444010144312 in words is "four hundred forty-four billion, ten million, one hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 73 146 292 293 511 584 586 1022 1172 2044 2051 2344 4088 4102 8204 16408 21389 42778 85556 149723 171112 299446 370693 598892 741386 1197784 1482772 2594851 2965544 5189702 10379404 20758808 27060589 54121178 108242356 108613049 189424123 216484712 217226098 378848246 434452196 757696492 760291343 868904392 1515392984 1520582686 3041165372 6082330744 7928752577 15857505154 31715010308 55501268039 63430020616 111002536078 222005072156 444010144312