Search a number
-
+
4405224144 = 2431737592473
BaseRepresentation
bin1000001101001001…
…00110001011010000
3102101000012120110210
410012210212023100
533010214133034
62005043124120
7214110534036
oct40644461320
912330176423
104405224144
1119606a8112
12a2b373640
13552871b09
142db0b8556
151abb1b8e9
hex1069262d0

4405224144 has 160 divisors (see below), whose sum is σ = 12590087040. Its totient is φ = 1321353216.

The previous prime is 4405224143. The next prime is 4405224151. The reversal of 4405224144 is 4414225044.

It is a super-3 number, since 3×44052241443 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4405224143) 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, 1780092 + ... + 1782564.

It is an arithmetic number, because the mean of its divisors is an integer number (78688044).

Almost surely, 24405224144 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 4405224144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6295043520).

4405224144 is an abundant number, since it is smaller than the sum of its proper divisors (8184862896).

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

4405224144 is a wasteful number, since it uses less digits than its factorization.

4405224144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2597 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

The square root of 4405224144 is about 66371.8625925173. The cubic root of 4405224144 is about 1639.2908077812.

Adding to 4405224144 its reverse (4414225044), we get a palindrome (8819449188).

The spelling of 4405224144 in words is "four billion, four hundred five million, two hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 37 48 51 59 68 74 102 111 118 136 148 177 204 222 236 272 296 354 408 444 472 592 629 708 816 888 944 1003 1258 1416 1776 1887 2006 2183 2473 2516 2832 3009 3774 4012 4366 4946 5032 6018 6549 7419 7548 8024 8732 9892 10064 12036 13098 14838 15096 16048 17464 19784 24072 26196 29676 30192 34928 37111 39568 42041 48144 52392 59352 74222 84082 91501 104784 111333 118704 126123 145907 148444 168164 183002 222666 252246 274503 291814 296888 336328 366004 437721 445332 504492 549006 583628 593776 672656 732008 875442 890664 1008984 1098012 1167256 1464016 1555517 1750884 1781328 2017968 2196024 2334512 2480419 3111034 3501768 4392048 4666551 4960838 5398559 6222068 7003536 7441257 9333102 9921676 10797118 12444136 14882514 16195677 18666204 19843352 21594236 24888272 29765028 32391354 37332408 39686704 43188472 59530056 64782708 74664816 86376944 91775503 119060112 129565416 183551006 259130832 275326509 367102012 550653018 734204024 1101306036 1468408048 2202612072 4405224144