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1441141200 = 243352133439
BaseRepresentation
bin101010111100110…
…0001000111010000
310201102202120002000
41111321201013100
510422413004300
6355000354000
750466332562
oct12571410720
93642676060
101441141200
1167a539794
12342775900
1319c754895
14d9581332
15867bec00
hex55e611d0

1441141200 has 120 divisors (see below), whose sum is σ = 5129433600. Its totient is φ = 384301440.

The previous prime is 1441141193. The next prime is 1441141217. The reversal of 1441141200 is 21411441.

1441141200 is a `hidden beast` number, since 14 + 411 + 41 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 55920 + ... + 77519.

It is an arithmetic number, because the mean of its divisors is an integer number (42745280).

Almost surely, 21441141200 is an apocalyptic number.

1441141200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1441141200 is an abundant number, since it is smaller than the sum of its proper divisors (3688292400).

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

1441141200 is a wasteful number, since it uses less digits than its factorization.

1441141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133466 (or 133449 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1441141200 is about 37962.3655743422. The cubic root of 1441141200 is about 1129.5414643099.

Adding to 1441141200 its reverse (21411441), we get a palindrome (1462552641).

It can be divided in two parts, 14411 and 41200, that added together give a triangular number (55611 = T333).

The spelling of 1441141200 in words is "one billion, four hundred forty-one million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 135 144 150 180 200 216 225 240 270 300 360 400 432 450 540 600 675 720 900 1080 1200 1350 1800 2160 2700 3600 5400 10800 133439 266878 400317 533756 667195 800634 1067512 1200951 1334390 1601268 2001585 2135024 2401902 2668780 3202536 3335975 3602853 4003170 4803804 5337560 6004755 6405072 6671950 7205706 8006340 9607608 10007925 10675120 12009510 13343900 14411412 16012680 18014265 19215216 20015850 24019020 26687800 28822824 30023775 32025360 36028530 40031700 48038040 53375600 57645648 60047550 72057060 80063400 90071325 96076080 120095100 144114120 160126800 180142650 240190200 288228240 360285300 480380400 720570600 1441141200