Search a number
-
+
440242044 = 223112476451
BaseRepresentation
bin11010001111011…
…000111101111100
31010200101121112220
4122033120331330
51400200221134
6111403525340
713623665334
oct3217307574
91120347486
10440242044
11206561400
12103529850
1370291368
144267c0c4
15289b2149
hex1a3d8f7c

440242044 has 72 divisors (see below), whose sum is σ = 1153307904. Its totient is φ = 130548000.

The previous prime is 440242039. The next prime is 440242073.

440242044 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65019 + ... + 71469.

Almost surely, 2440242044 is an apocalyptic number.

440242044 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 440242044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576653952).

440242044 is an abundant number, since it is smaller than the sum of its proper divisors (713065860).

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

440242044 is a wasteful number, since it uses less digits than its factorization.

440242044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6527 (or 6514 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 440242044 is about 20981.9456676448. The cubic root of 440242044 is about 760.7299335297.

The spelling of 440242044 in words is "four hundred forty million, two hundred forty-two thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 121 132 141 188 242 282 363 484 517 564 726 1034 1452 1551 2068 3102 5687 6204 6451 11374 12902 17061 19353 22748 25804 34122 38706 68244 70961 77412 141922 212883 283844 303197 425766 606394 780571 851532 909591 1212788 1561142 1819182 2341713 3122284 3335167 3638364 4683426 6670334 9366852 10005501 13340668 20011002 36686837 40022004 73373674 110060511 146747348 220121022 440242044