Search a number
-
+
414144423 = 327211591447
BaseRepresentation
bin11000101011110…
…101011110100111
31001212021201100100
4120223311132213
51322010110143
6105032315143
713156112100
oct3053653647
91055251310
10414144423
111a2856920
12b6842ab3
1367a54694
143d0073a7
15265596d3
hex18af57a7

414144423 has 72 divisors (see below), whose sum is σ = 772536960. Its totient is φ = 211347360.

The previous prime is 414144413. The next prime is 414144443. The reversal of 414144423 is 324441414.

It is not a de Polignac number, because 414144423 - 25 = 414144391 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414144413) 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, 285486 + ... + 286932.

It is an arithmetic number, because the mean of its divisors is an integer number (10729680).

Almost surely, 2414144423 is an apocalyptic number.

414144423 is a deficient number, since it is larger than the sum of its proper divisors (358392537).

414144423 is a wasteful number, since it uses less digits than its factorization.

414144423 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1527 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 414144423 is about 20350.5386415200. The cubic root of 414144423 is about 745.3906471887.

Adding to 414144423 its reverse (324441414), we get a palindrome (738585837).

The spelling of 414144423 in words is "four hundred fourteen million, one hundred forty-four thousand, four hundred twenty-three".

Divisors: 1 3 7 9 11 21 33 49 59 63 77 99 147 177 231 413 441 531 539 649 693 1239 1447 1617 1947 2891 3717 4341 4543 4851 5841 8673 10129 13023 13629 15917 26019 30387 31801 40887 47751 70903 85373 91161 95403 111419 143253 212709 256119 286209 334257 597611 638127 768357 779933 939103 1002771 1792833 2339799 2817309 4183277 5378499 6573721 7019397 8451927 12549831 19721163 37649493 46016047 59163489 138048141 414144423