Search a number
-
+
4413741612 = 22374710111069
BaseRepresentation
bin1000001110001010…
…00101101000101100
3102101121020022020120
410013011011220230
533014404212422
62005545444540
7214243120230
oct40705055054
912347208216
104413741612
111965495445
12a321a0750
13554564937
142dc2945c0
151ac75045c
hex107145a2c

4413741612 has 96 divisors (see below), whose sum is σ = 12140513280. Its totient is φ = 1221907200.

The previous prime is 4413741611. The next prime is 4413741641. The reversal of 4413741612 is 2161473144.

It is a super-2 number, since 2×44137416122 = 38962230035000717088, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4413741611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393214 + ... + 404282.

It is an arithmetic number, because the mean of its divisors is an integer number (126463680).

Almost surely, 24413741612 is an apocalyptic number.

4413741612 is a gapful number since it is divisible by the number (42) 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 4413741612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6070256640).

4413741612 is an abundant number, since it is smaller than the sum of its proper divisors (7726771668).

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

4413741612 is a wasteful number, since it uses less digits than its factorization.

4413741612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11231 (or 11229 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 4413741612 is about 66435.9963573965. The cubic root of 4413741612 is about 1640.3466464347.

The spelling of 4413741612 in words is "four billion, four hundred thirteen million, seven hundred forty-one thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 101 141 188 202 282 303 329 404 564 606 658 707 987 1212 1316 1414 1974 2121 2828 3948 4242 4747 8484 9494 11069 14241 18988 22138 28482 33207 33229 44276 56964 66414 66458 77483 99687 132828 132916 154966 199374 232449 309932 398748 464898 520243 929796 1040486 1117969 1560729 2080972 2235938 3121458 3353907 3641701 4471876 6242916 6707814 7283402 7825783 10925103 13415628 14566804 15651566 21850206 23477349 31303132 43700412 46954698 52544543 93909396 105089086 157633629 210178172 315267258 367811801 630534516 735623602 1103435403 1471247204 2206870806 4413741612