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4413224040 = 2335113325459
BaseRepresentation
bin1000001110000110…
…00111010001101000
3102101120021000021020
410013003013101220
533014241132130
62005530412440
7214235533251
oct40703072150
912346230236
104413224040
1119651715a5
12a31b91120
13554413194
142dc19bb28
151ac69be10
hex1070c7468

4413224040 has 64 divisors (see below), whose sum is σ = 13356878400. Its totient is φ = 1166441472.

The previous prime is 4413224017. The next prime is 4413224047. The reversal of 4413224040 is 404223144.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4413224040.

It is not an unprimeable number, because it can be changed into a prime (4413224047) 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 15 ways as a sum of consecutive naturals, for example, 149170 + ... + 176289.

It is an arithmetic number, because the mean of its divisors is an integer number (208701225).

Almost surely, 24413224040 is an apocalyptic number.

4413224040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4413224040 is an abundant number, since it is smaller than the sum of its proper divisors (8943654360).

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

4413224040 is a wasteful number, since it uses less digits than its factorization.

4413224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325586 (or 325582 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4413224040 is about 66432.1009753568. The cubic root of 4413224040 is about 1640.2825261821.

Adding to 4413224040 its reverse (404223144), we get a palindrome (4817447184).

The spelling of 4413224040 in words is "four billion, four hundred thirteen million, two hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 113 120 226 339 452 565 678 904 1130 1356 1695 2260 2712 3390 4520 6780 13560 325459 650918 976377 1301836 1627295 1952754 2603672 3254590 3905508 4881885 6509180 7811016 9763770 13018360 19527540 36776867 39055080 73553734 110330601 147107468 183884335 220661202 294214936 367768670 441322404 551653005 735537340 882644808 1103306010 1471074680 2206612020 4413224040