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1441340220 = 2235431793121
BaseRepresentation
bin101010111101001…
…0001101100111100
310201110010200002010
41111322101230330
510422440341340
6355004531220
750501122035
oct12572215474
93643120063
101441340220
1167a665271
12342850b10
1319c7c4348
14d95d3a8c
158680db80
hex55e91b3c

1441340220 has 96 divisors (see below), whose sum is σ = 4154008320. Its totient is φ = 373201920.

The previous prime is 1441340213. The next prime is 1441340221. The reversal of 1441340220 is 220431441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441340221) 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 31 ways as a sum of consecutive naturals, for example, 460260 + ... + 463380.

It is an arithmetic number, because the mean of its divisors is an integer number (43270920).

Almost surely, 21441340220 is an apocalyptic number.

1441340220 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 1441340220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077004160).

1441340220 is an abundant number, since it is smaller than the sum of its proper divisors (2712668100).

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

1441340220 is a wasteful number, since it uses less digits than its factorization.

1441340220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1441340220 is about 37964.9867641225. The cubic root of 1441340220 is about 1129.5934580574.

Adding to 1441340220 its reverse (220431441), we get a palindrome (1661771661).

The spelling of 1441340220 in words is "one billion, four hundred forty-one million, three hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 179 215 258 358 430 516 537 645 716 860 895 1074 1290 1790 2148 2580 2685 3121 3580 5370 6242 7697 9363 10740 12484 15394 15605 18726 23091 30788 31210 37452 38485 46182 46815 62420 76970 92364 93630 115455 134203 153940 187260 230910 268406 402609 461820 536812 558659 671015 805218 1117318 1342030 1610436 1675977 2013045 2234636 2684060 2793295 3351954 4026090 5586590 6703908 8052180 8379885 11173180 16759770 24022337 33519540 48044674 72067011 96089348 120111685 144134022 240223370 288268044 360335055 480446740 720670110 1441340220