Search a number
-
+
4415440440 = 233536795337
BaseRepresentation
bin1000001110010111…
…00100011000111000
3102101201102121121010
410013023210120320
533020323043230
62010050113520
7214263424125
oct40713443070
912351377533
104415440440
111966445834
12a3287b8a0
13554a0ac68
142dc5b774c
151ac9889b0
hex1072e4638

4415440440 has 32 divisors (see below), whose sum is σ = 13246321680. Its totient is φ = 1177450752.

The previous prime is 4415440439. The next prime is 4415440459. The reversal of 4415440440 is 440445144.

It is a super-2 number, since 2×44154404402 = 38992228558374787200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4415440398 and 4415440407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18397549 + ... + 18397788.

Almost surely, 24415440440 is an apocalyptic number.

4415440440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4415440440 is an abundant number, since it is smaller than the sum of its proper divisors (8830881240).

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

4415440440 is a wasteful number, since it uses less digits than its factorization.

4415440440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36795351 (or 36795347 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

The square root of 4415440440 is about 66448.7805757186. The cubic root of 4415440440 is about 1640.5570732947.

Adding to 4415440440 its reverse (440445144), we get a palindrome (4855885584).

The spelling of 4415440440 in words is "four billion, four hundred fifteen million, four hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 36795337 73590674 110386011 147181348 183976685 220772022 294362696 367953370 441544044 551930055 735906740 883088088 1103860110 1471813480 2207720220 4415440440