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444140132144 = 242314919341969
BaseRepresentation
bin1100111011010001101…
…00001001011100110000
31120110101220000102002212
412131220310021130300
524234044333212034
6540011332231252
744042130555632
oct6355064113460
91513356012085
10444140132144
111613a4586a55
12720b176b528
1332b61367827
14176d4560a52
15b846ad62ce
hex6768d09730

444140132144 has 80 divisors (see below), whose sum is σ = 908667288000. Its totient is φ = 209891033088.

The previous prime is 444140132119. The next prime is 444140132179. The reversal of 444140132144 is 441231041444.

It is a self number, because there is not a number n which added to its sum of digits gives 444140132144.

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, 10561592 + ... + 10603560.

It is an arithmetic number, because the mean of its divisors is an integer number (11358341100).

Almost surely, 2444140132144 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 444140132144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454333644000).

444140132144 is an abundant number, since it is smaller than the sum of its proper divisors (464527155856).

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

444140132144 is a wasteful number, since it uses less digits than its factorization.

444140132144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42342 (or 42336 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 444140132144 its reverse (441231041444), we get a palindrome (885371173588).

The spelling of 444140132144 in words is "four hundred forty-four billion, one hundred forty million, one hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 46 92 149 184 193 298 368 386 596 772 1192 1544 2384 3088 3427 4439 6854 8878 13708 17756 27416 28757 35512 41969 54832 57514 71024 83938 115028 167876 230056 335752 460112 661411 671504 965287 1322822 1930574 2645644 3861148 5291288 6253381 7722296 8100017 10582576 12506762 15444592 16200034 25013524 32400068 50027048 64800136 100054096 129600272 143827763 186300391 287655526 372600782 575311052 745201564 1150622104 1206902533 1490403128 2301244208 2413805066 2980806256 4827610132 9655220264 19310440528 27758758259 55517516518 111035033036 222070066072 444140132144