Search a number
-
+
4484140038 = 2327237313439
BaseRepresentation
bin1000010110100011…
…01000110000000110
3102120111200220201200
410023101220300012
533140414440123
62020542403330
7216056363400
oct41321506006
912514626650
104484140038
1119a11a8864
12a51890546
13566012901
1430777bb70
151b3a09143
hex10b468c06

4484140038 has 144 divisors (see below), whose sum is σ = 11670927840. Its totient is φ = 1239743232.

The previous prime is 4484140027. The next prime is 4484140039. The reversal of 4484140038 is 8300414844.

4484140038 is a `hidden beast` number, since 4 + 484 + 140 + 0 + 38 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4484139984 and 4484140011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4484140039) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10214223 + ... + 10214661.

It is an arithmetic number, because the mean of its divisors is an integer number (81048110).

Almost surely, 24484140038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4484140038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5835463920).

4484140038 is an abundant number, since it is smaller than the sum of its proper divisors (7186787802).

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

4484140038 is a wasteful number, since it uses less digits than its factorization.

4484140038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4484140038 is about 66963.7218051685. The cubic root of 4484140038 is about 1649.0217694653.

The spelling of 4484140038 in words is "four billion, four hundred eighty-four million, one hundred forty thousand, thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 49 63 74 98 111 126 147 222 259 294 313 333 439 441 518 626 666 777 878 882 939 1317 1554 1813 1878 2191 2331 2634 2817 3073 3626 3951 4382 4662 5439 5634 6146 6573 7902 9219 10878 11581 13146 15337 16243 16317 18438 19719 21511 23162 27657 30674 32486 32634 34743 39438 43022 46011 48729 55314 64533 69486 81067 92022 97458 104229 113701 129066 137407 138033 146187 162134 193599 208458 227402 243201 274814 276066 292374 341103 387198 412221 486402 567469 682206 729603 795907 824442 961849 1023309 1134938 1236663 1459206 1591814 1702407 1923698 2046618 2387721 2473326 2885547 3404814 4775442 5084059 5107221 5771094 6732943 7163163 8656641 10168118 10214442 13465886 14326326 15252177 17313282 20198829 30504354 35588413 40397658 45756531 60596487 71176826 91513062 106765239 121192974 213530478 249118891 320295717 498237782 640591434 747356673 1494713346 2242070019 4484140038