Search a number
-
+
414113143410 = 23353314633693
BaseRepresentation
bin1100000011010110001…
…00010001101001110010
31110120220020221100011000
412001223010101221302
523241100431042120
6514124013502430
741630052432501
oct6015304215162
91416806840130
10414113143410
1114a69608998a
12683117a1a16
1330087513285
14160866cc838
15ab8a92a990
hex606b111a72

414113143410 has 64 divisors (see below), whose sum is σ = 1107638213760. Its totient is φ = 110096521920.

The previous prime is 414113143313. The next prime is 414113143421. The reversal of 414113143410 is 14341311414.

414113143410 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 1 + 314 + 341 + 0 = 666.

It is a super-2 number, since 2×4141131434102 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2227477 + ... + 2406216.

It is an arithmetic number, because the mean of its divisors is an integer number (17306847090).

Almost surely, 2414113143410 is an apocalyptic number.

414113143410 is an abundant number, since it is smaller than the sum of its proper divisors (693525070350).

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

414113143410 is a wasteful number, since it uses less digits than its factorization.

414113143410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4634040 (or 4634034 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 414113143410 its reverse (14341311414), we get a palindrome (428454454824).

The spelling of 414113143410 in words is "four hundred fourteen billion, one hundred thirteen million, one hundred forty-three thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 331 662 993 1655 1986 2979 3310 4965 5958 8937 9930 14895 17874 29790 44685 89370 4633693 9267386 13901079 23168465 27802158 41703237 46336930 69505395 83406474 125109711 139010790 208516185 250219422 417032370 625548555 1251097110 1533752383 3067504766 4601257149 7668761915 9202514298 13803771447 15337523830 23006285745 27607542894 41411314341 46012571490 69018857235 82822628682 138037714470 207056571705 414113143410