Search a number
-
+
1441130180 = 225726432287
BaseRepresentation
bin101010111100101…
…1110011011000100
310201102201222221212
41111321132123010
510422412131210
6355000230552
750466255500
oct12571363304
93642658855
101441130180
1167a531486
1234276b458
1319c74c869
14d957b300
15867bb805
hex55e5e6c4

1441130180 has 72 divisors (see below), whose sum is σ = 3527491968. Its totient is φ = 493117632.

The previous prime is 1441130179. The next prime is 1441130189. The reversal of 1441130180 is 810311441.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1441130189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 628997 + ... + 631283.

It is an arithmetic number, because the mean of its divisors is an integer number (48992944).

Almost surely, 21441130180 is an apocalyptic number.

1441130180 is a gapful number since it is divisible by the number (10) 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 1441130180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763745984).

1441130180 is an abundant number, since it is smaller than the sum of its proper divisors (2086361788).

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

1441130180 is a wasteful number, since it uses less digits than its factorization.

1441130180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 1441130180 is about 37962.2204303173. The cubic root of 1441130180 is about 1129.5385852077.

The spelling of 1441130180 in words is "one billion, four hundred forty-one million, one hundred thirty thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 643 980 1286 2287 2572 3215 4501 4574 6430 9002 9148 11435 12860 16009 18004 22505 22870 31507 32018 45010 45740 63014 64036 80045 90020 112063 126028 157535 160090 224126 315070 320180 448252 560315 630140 1120630 1470541 2241260 2941082 5882164 7352705 10293787 14705410 20587574 29410820 41175148 51468935 72056509 102937870 144113018 205875740 288226036 360282545 720565090 1441130180