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4441388616 = 2332724632719
BaseRepresentation
bin1000010001011101…
…00011011001001000
3102110112020220210200
410020232203121020
533043443413431
62012414212200
7215030115600
oct41056433110
912415226720
104441388616
11197a059005
12a3b4b4060
1355a1c4902
14301c0dc00
151aedb1ee6
hex108ba3648

4441388616 has 144 divisors (see below), whose sum is σ = 14028019200. Its totient is φ = 1265761728.

The previous prime is 4441388603. The next prime is 4441388621. The reversal of 4441388616 is 6168831444.

It is a nude number because it is divisible by every one of its digits.

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 35 ways as a sum of consecutive naturals, for example, 1632105 + ... + 1634823.

It is an arithmetic number, because the mean of its divisors is an integer number (97416800).

Almost surely, 24441388616 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 4441388616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7014009600).

4441388616 is an abundant number, since it is smaller than the sum of its proper divisors (9586630584).

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

4441388616 is a wasteful number, since it uses less digits than its factorization.

4441388616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3208 (or 3194 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 4441388616 is about 66643.7440124728. The cubic root of 4441388616 is about 1643.7644804422.

The spelling of 4441388616 in words is "four billion, four hundred forty-one million, three hundred eighty-eight thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 463 504 588 882 926 1176 1389 1764 1852 2719 2778 3241 3528 3704 4167 5438 5556 6482 8157 8334 9723 10876 11112 12964 16314 16668 19033 19446 21752 22687 24471 25928 29169 32628 33336 38066 38892 45374 48942 57099 58338 65256 68061 76132 77784 90748 97884 114198 116676 133231 136122 152264 171297 181496 195768 204183 228396 233352 266462 272244 342594 399693 408366 456792 532924 544488 685188 799386 816732 1065848 1199079 1258897 1370376 1598772 1633464 2398158 2517794 3197544 3776691 4796316 5035588 7553382 8812279 9592632 10071176 11330073 15106764 17624558 22660146 26436837 30213528 35249116 45320292 52873674 61685953 70498232 79310511 90640584 105747348 123371906 158621022 185057859 211494696 246743812 317242044 370115718 493487624 555173577 634484088 740231436 1110347154 1480462872 2220694308 4441388616