Search a number
-
+
4440145424 = 24111383103227
BaseRepresentation
bin1000010001010011…
…10011111000010000
3102110102220202110112
410020221303320100
533043134123144
62012331420452
7215013420251
oct41051637020
912412822415
104440145424
111979389a80
12a3abb4728
13559b7aab0
143019a8b28
151aec1899e
hex108a73e10

4440145424 has 160 divisors (see below), whose sum is σ = 10373336064. Its totient is φ = 1814653440.

The previous prime is 4440145421. The next prime is 4440145429. The reversal of 4440145424 is 4245410444.

It is not an unprimeable number, because it can be changed into a prime (4440145421) by changing a digit.

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, 19559999 + ... + 19560225.

Almost surely, 24440145424 is an apocalyptic number.

4440145424 is a gapful number since it is divisible by the number (44) 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 4440145424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5186668032).

4440145424 is an abundant number, since it is smaller than the sum of its proper divisors (5933190640).

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

4440145424 is a wasteful number, since it uses less digits than its factorization.

4440145424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 32.

The square root of 4440145424 is about 66634.4162126449. The cubic root of 4440145424 is about 1643.6110970656.

Adding to 4440145424 its reverse (4245410444), we get a palindrome (8685555868).

The spelling of 4440145424 in words is "four billion, four hundred forty million, one hundred forty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 83 88 103 104 143 166 176 206 208 227 286 332 412 454 572 664 824 908 913 1079 1133 1144 1328 1339 1648 1816 1826 2158 2266 2288 2497 2678 2951 3632 3652 4316 4532 4994 5356 5902 7304 8549 8632 9064 9988 10712 11804 11869 14608 14729 17098 17264 18128 18841 19976 21424 23381 23608 23738 29458 32461 34196 37682 39952 46762 47216 47476 58916 64922 68392 75364 93524 94039 94952 111137 117832 129844 136784 150728 187048 188078 189904 207251 222274 235664 244933 257191 259688 301456 303953 374096 376156 414502 444548 489866 514382 519376 607906 752312 829004 889096 979732 1028764 1215812 1222507 1504624 1658008 1778192 1940623 1959464 2057528 2431624 2445014 2694263 3316016 3343483 3881246 3918928 4115056 4863248 4890028 5388526 6686966 7762492 9780056 10777052 13373932 15524984 19560112 21346853 21554104 25228099 26747864 31049968 42693706 43108208 50456198 53495728 85387412 100912396 170774824 201824792 277509089 341549648 403649584 555018178 1110036356 2220072712 4440145424