Search a number
-
+
41143304202 = 237111364110687
BaseRepresentation
bin100110010100010101…
…010000000000001010
310221012100101102000120
4212110111100000022
51133230141213302
630522335444110
72654366213130
oct462425200012
9127170342016
1041143304202
11164a3360450
127b82986636
133b58bb5a20
141dc437d750
15110c0739bc
hex99455000a

41143304202 has 128 divisors (see below), whose sum is σ = 110665433088. Its totient is φ = 9848217600.

The previous prime is 41143304179. The next prime is 41143304207. The reversal of 41143304202 is 20240334114.

It is not an unprimeable number, because it can be changed into a prime (41143304207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3844503 + ... + 3855189.

It is an arithmetic number, because the mean of its divisors is an integer number (864573696).

Almost surely, 241143304202 is an apocalyptic number.

41143304202 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 41143304202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55332716544).

41143304202 is an abundant number, since it is smaller than the sum of its proper divisors (69522128886).

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

41143304202 is a wasteful number, since it uses less digits than its factorization.

41143304202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11364.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 41143304202 its reverse (20240334114), we get a palindrome (61383638316).

The spelling of 41143304202 in words is "forty-one billion, one hundred forty-three million, three hundred four thousand, two hundred two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 641 858 1001 1282 1923 2002 3003 3846 4487 6006 7051 8333 8974 10687 13461 14102 16666 21153 21374 24999 26922 32061 42306 49357 49998 58331 64122 74809 91663 98714 116662 117557 138931 148071 149618 174993 183326 224427 235114 274989 277862 296142 349986 352671 416793 448854 549978 641641 705342 822899 833586 972517 1283282 1528241 1645798 1924923 1945034 2468697 2917551 3056482 3849846 4584723 4937394 5835102 6850367 9169446 10697687 13700734 20551101 21395374 32093061 41102202 47952569 64186122 75354037 89054771 95905138 143857707 150708074 178109542 226062111 267164313 287715414 452124222 527478259 534328626 623383397 979602481 1054956518 1246766794 1582434777 1870150191 1959204962 2938807443 3164869554 3740300382 5877614886 6857217367 13714434734 20571652101 41143304202