Search a number
-
+
6441146740 = 2257411796269
BaseRepresentation
bin1011111111110110…
…00001100101110100
3121121220011011020101
411333323001211310
5101142413143430
62543052043444
7315421562320
oct57773014564
917556134211
106441146740
11280594a976
1212b9163584
137b85b5b42
14451644980
1527a727dca
hex17fec1974

6441146740 has 96 divisors (see below), whose sum is σ = 15926803200. Its totient is φ = 2142151680.

The previous prime is 6441146713. The next prime is 6441146743. The reversal of 6441146740 is 476411446.

It is a self number, because there is not a number n which added to its sum of digits gives 6441146740.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6441146743) 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, 1024326 + ... + 1030594.

It is an arithmetic number, because the mean of its divisors is an integer number (165904200).

Almost surely, 26441146740 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 6441146740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7963401600).

6441146740 is an abundant number, since it is smaller than the sum of its proper divisors (9485656460).

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

6441146740 is a wasteful number, since it uses less digits than its factorization.

6441146740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6505 (or 6503 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 6441146740 is about 80256.7551051000. The cubic root of 6441146740 is about 1860.6059169810.

It can be divided in two parts, 6441 and 146740, that added together give a triangular number (153181 = T553).

The spelling of 6441146740 in words is "six billion, four hundred forty-one million, one hundred forty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 179 205 287 358 410 574 716 820 895 1148 1253 1435 1790 2506 2870 3580 5012 5740 6265 6269 7339 12530 12538 14678 25060 25076 29356 31345 36695 43883 51373 62690 73390 87766 102746 125380 146780 175532 205492 219415 256865 257029 438830 513730 514058 877660 1027460 1028116 1122151 1285145 1799203 2244302 2570290 3598406 4488604 5140580 5610755 7196812 7855057 8996015 11221510 15710114 17992030 22443020 31420228 35984060 39275285 46008191 78550570 92016382 157101140 184032764 230040955 322057337 460081910 644114674 920163820 1288229348 1610286685 3220573370 6441146740