[go: up one dir, main page]

Search a number
-
+
4418888144 = 241153473723
BaseRepresentation
bin1000001110110001…
…01110000111010000
3102101221220202221212
410013120232013100
533022213410034
62010252035252
7214334633546
oct40730560720
912357822855
104418888144
111968390080
12a33a62b28
13555647318
142dcc33d96
151ace1a2ce
hex10762e1d0

4418888144 has 40 divisors (see below), whose sum is σ = 9516167712. Its totient is φ = 1970683520.

The previous prime is 4418888141. The next prime is 4418888153.

4418888144 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 4418888092 and 4418888101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4418888141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227534 + ... + 246189.

Almost surely, 24418888144 is an apocalyptic number.

4418888144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4418888144 is an abundant number, since it is smaller than the sum of its proper divisors (5097279568).

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

4418888144 is a wasteful number, since it uses less digits than its factorization.

4418888144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473795 (or 473789 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 50.

The square root of 4418888144 is about 66474.7180813879. The cubic root of 4418888144 is about 1640.9839603920.

The spelling of 4418888144 in words is "four billion, four hundred eighteen million, eight hundred eighty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 176 212 424 583 848 1166 2332 4664 9328 473723 947446 1894892 3789784 5210953 7579568 10421906 20843812 25107319 41687624 50214638 83375248 100429276 200858552 276180509 401717104 552361018 1104722036 2209444072 4418888144