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1441334220 = 2235297511103
BaseRepresentation
bin101010111101001…
…0000001111001100
310201110010100211220
41111322100033030
510422440143340
6355004443340
750501065404
oct12572201714
93643110756
101441334220
1167a660807
12342849550
1319c7c16b1
14d95d1804
158680bed0
hex55e903cc

1441334220 has 96 divisors (see below), whose sum is σ = 4184248320. Its totient is φ = 370272000.

The previous prime is 1441334207. The next prime is 1441334227. The reversal of 1441334220 is 224331441.

It is not an unprimeable number, because it can be changed into a prime (1441334227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1306189 + ... + 1307291.

It is an arithmetic number, because the mean of its divisors is an integer number (43585920).

Almost surely, 21441334220 is an apocalyptic number.

1441334220 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 1441334220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092124160).

1441334220 is an abundant number, since it is smaller than the sum of its proper divisors (2742914100).

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

1441334220 is a wasteful number, since it uses less digits than its factorization.

1441334220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1441334220 is about 37964.9077438626. The cubic root of 1441334220 is about 1129.5918906342.

Adding to 1441334220 its reverse (224331441), we get a palindrome (1665665661).

The spelling of 1441334220 in words is "one billion, four hundred forty-one million, three hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 751 870 1103 1502 1740 2206 2253 3004 3309 3755 4412 4506 5515 6618 7510 9012 11030 11265 13236 15020 16545 21779 22060 22530 31987 33090 43558 45060 63974 65337 66180 87116 95961 108895 127948 130674 159935 191922 217790 261348 319870 326685 383844 435580 479805 639740 653370 828353 959610 1306740 1656706 1919220 2485059 3313412 4141765 4970118 8283530 9940236 12425295 16567060 24022237 24850590 48044474 49701180 72066711 96088948 120111185 144133422 240222370 288266844 360333555 480444740 720667110 1441334220