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2441442012 = 2231719837589
BaseRepresentation
bin1001000110000101…
…0111001011011100
320022011000002211020
42101201113023130
520000002121022
61042132324140
7114333625512
oct22141271334
96264002736
102441442012
111043148579
12581773650
132cba68959
1419236a4b2
15e451035c
hex918572dc

2441442012 has 96 divisors (see below), whose sum is σ = 6426604800. Its totient is φ = 716792832.

The previous prime is 2441442001. The next prime is 2441442013. The reversal of 2441442012 is 2102441442.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2441442013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317914 + ... + 325502.

It is an arithmetic number, because the mean of its divisors is an integer number (66943800).

Almost surely, 22441442012 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 2441442012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213302400).

2441442012 is an abundant number, since it is smaller than the sum of its proper divisors (3985162788).

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

2441442012 is a wasteful number, since it uses less digits than its factorization.

2441442012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7715 (or 7713 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2441442012 is about 49410.9503248015. The cubic root of 2441442012 is about 1346.5282559061.

Adding to 2441442012 its reverse (2102441442), we get a palindrome (4543883454).

The spelling of 2441442012 in words is "two billion, four hundred forty-one million, four hundred forty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 83 102 114 166 204 228 249 323 332 498 646 969 996 1292 1411 1577 1938 2822 3154 3876 4233 4731 5644 6308 7589 8466 9462 15178 16932 18924 22767 26809 30356 45534 53618 80427 91068 107236 129013 144191 160854 258026 288382 321708 387039 432573 516052 576764 629887 774078 865146 1259774 1548156 1730292 1889661 2451247 2519548 3779322 4902494 7353741 7558644 9804988 10708079 11967853 14707482 21416158 23935706 29414964 32124237 35903559 42832316 47871412 64248474 71807118 128496948 143614236 203453501 406907002 610360503 813814004 1220721006 2441442012