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4444523320 = 2351931712657
BaseRepresentation
bin1000010001110101…
…00000101100111000
3102110202011011210211
410020322200230320
533100244221240
62013005320504
7215065552636
oct41072405470
912422134724
104444523320
1119808aa176
12a40566134
1355aa51673
143023c8356
151b02d0bea
hex108ea0b38

4444523320 has 128 divisors (see below), whose sum is σ = 11023257600. Its totient is φ = 1606348800.

The previous prime is 4444523311. The next prime is 4444523341. The reversal of 4444523320 is 233254444.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1671432 + ... + 1674088.

It is an arithmetic number, because the mean of its divisors is an integer number (86119200).

Almost surely, 24444523320 is an apocalyptic number.

4444523320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4444523320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5511628800).

4444523320 is an abundant number, since it is smaller than the sum of its proper divisors (6578734280).

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

4444523320 is a wasteful number, since it uses less digits than its factorization.

4444523320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 31.

The square root of 4444523320 is about 66667.2582307087. The cubic root of 4444523320 is about 1644.1511090218.

Adding to 4444523320 its reverse (233254444), we get a palindrome (4677777764).

The spelling of 4444523320 in words is "four billion, four hundred forty-four million, five hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 31 38 40 62 71 76 95 124 142 152 155 190 248 284 310 355 380 568 589 620 710 760 1178 1240 1349 1420 2201 2356 2657 2698 2840 2945 4402 4712 5314 5396 5890 6745 8804 10628 10792 11005 11780 13285 13490 17608 21256 22010 23560 26570 26980 41819 44020 50483 53140 53960 82367 83638 88040 100966 106280 164734 167276 188647 201932 209095 252415 329468 334552 377294 403864 411835 418190 504830 658936 754588 823670 836380 943235 1009660 1509176 1564973 1647340 1672760 1886470 2019320 3129946 3294680 3584293 3772940 5848057 6259892 7168586 7545880 7824865 11696114 12519784 14337172 15649730 17921465 23392228 28674344 29240285 31299460 35842930 46784456 58480570 62598920 71685860 111113083 116961140 143371720 222226166 233922280 444452332 555565415 888904664 1111130830 2222261660 4444523320