Search a number
-
+
6041141500 = 2253711671019
BaseRepresentation
bin1011010000001010…
…01000000011111100
3120121000110210012111
411220011020003330
544333013012000
62435242343404
7302463566302
oct55005100374
916530423174
106041141500
112620081029
1212071bab64
13753772054
1441447c272
15255562cba
hex1681480fc

6041141500 has 96 divisors (see below), whose sum is σ = 13473008640. Its totient is φ = 2365832000.

The previous prime is 6041141419. The next prime is 6041141501. The reversal of 6041141500 is 51411406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6041141501) 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, 5927991 + ... + 5929009.

It is an arithmetic number, because the mean of its divisors is an integer number (140343840).

Almost surely, 26041141500 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 6041141500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6736504320).

6041141500 is an abundant number, since it is smaller than the sum of its proper divisors (7431867140).

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

6041141500 is a wasteful number, since it uses less digits than its factorization.

6041141500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 6041141500 is about 77724.7804757273. The cubic root of 6041141500 is about 1821.2644174210.

Adding to 6041141500 its reverse (51411406), we get a palindrome (6092552906).

The spelling of 6041141500 in words is "six billion, forty-one million, one hundred forty-one thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 125 142 167 250 284 334 355 500 668 710 835 1019 1420 1670 1775 2038 3340 3550 4076 4175 5095 7100 8350 8875 10190 11857 16700 17750 20380 20875 23714 25475 35500 41750 47428 50950 59285 72349 83500 101900 118570 127375 144698 170173 237140 254750 289396 296425 340346 361745 509500 592850 680692 723490 850865 1185700 1446980 1482125 1701730 1808725 2964250 3403460 3617450 4254325 5928500 7234900 8508650 9043625 12082283 17017300 18087250 21271625 24164566 36174500 42543250 48329132 60411415 85086500 120822830 241645660 302057075 604114150 1208228300 1510285375 3020570750 6041141500