Search a number
-
+
41233303144 = 231111311093739
BaseRepresentation
bin100110011001101100…
…100100011001101000
310221102121201211100201
4212121230210121220
51133421211200034
630535312441544
72656541202535
oct463154443150
9127377654321
1041233303144
111653a140a40
127ba8b492b4
133b71737337
141dd22c9d8c
151114e00014
hex999b24668

41233303144 has 64 divisors (see below), whose sum is σ = 85186728000. Its totient is φ = 18554833920.

The previous prime is 41233303117. The next prime is 41233303147. The reversal of 41233303144 is 44130333214.

It is not an unprimeable number, because it can be changed into a prime (41233303147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11026027 + ... + 11029765.

It is an arithmetic number, because the mean of its divisors is an integer number (1331042625).

Almost surely, 241233303144 is an apocalyptic number.

41233303144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41233303144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42593364000).

41233303144 is an abundant number, since it is smaller than the sum of its proper divisors (43953424856).

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

41233303144 is a wasteful number, since it uses less digits than its factorization.

41233303144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4978 (or 4974 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 41233303144 its reverse (44130333214), we get a palindrome (85363636358).

The spelling of 41233303144 in words is "forty-one billion, two hundred thirty-three million, three hundred three thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 113 226 452 904 1109 1243 2218 2486 3739 4436 4972 7478 8872 9944 12199 14956 24398 29912 41129 48796 82258 97592 125317 164516 250634 329032 422507 501268 845014 1002536 1378487 1690028 2756974 3380056 4146551 4647577 5513948 8293102 9295154 11027896 16586204 18590308 33172408 37180616 45612061 91224122 182448244 364896488 468560263 937120526 1874241052 3748482104 5154162893 10308325786 20616651572 41233303144