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2444141532 = 2237192695693
BaseRepresentation
bin1001000110101110…
…1010001111011100
320022100002020212110
42101223222033130
520001200012112
61042310234020
7114365601030
oct22153521734
96270066773
102444141532
111044721788
12582655910
132cc4a25c1
141928701c0
15e489513c
hex91aea3dc

2444141532 has 96 divisors (see below), whose sum is σ = 6887462400. Its totient is φ = 658996992.

The previous prime is 2444141519. The next prime is 2444141537. The reversal of 2444141532 is 2351414442.

It is a self number, because there is not a number n which added to its sum of digits gives 2444141532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2444141537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426478 + ... + 432170.

It is an arithmetic number, because the mean of its divisors is an integer number (71744400).

Almost surely, 22444141532 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 2444141532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443731200).

2444141532 is an abundant number, since it is smaller than the sum of its proper divisors (4443320868).

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

2444141532 is a wasteful number, since it uses less digits than its factorization.

2444141532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5995 (or 5993 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 2444141532 is about 49438.2597994711. The cubic root of 2444141532 is about 1347.0243617622.

Adding to 2444141532 its reverse (2351414442), we get a palindrome (4795555974).

The spelling of 2444141532 in words is "two billion, four hundred forty-four million, one hundred forty-one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 269 399 532 538 798 807 1076 1596 1614 1883 3228 3766 5111 5649 5693 7532 10222 11298 11386 15333 17079 20444 22596 22772 30666 34158 35777 39851 61332 68316 71554 79702 107331 108167 119553 143108 159404 214662 216334 239106 324501 429324 432668 478212 649002 757169 1298004 1514338 1531417 2271507 3028676 3062834 4543014 4594251 6125668 9086028 9188502 10719919 18377004 21439838 29096923 32159757 42879676 58193846 64319514 87290769 116387692 128639028 174581538 203678461 349163076 407356922 611035383 814713844 1222070766 2444141532