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1441024040 = 235178592467
BaseRepresentation
bin101010111100100…
…0100100000101000
310201102112121100202
41111321010200220
510422400232130
6354554051332
750465334161
oct12571044050
93642477322
101441024040
1167a469765
12342719b48
1319c713461
14d9550768
158679a145
hex55e44828

1441024040 has 64 divisors (see below), whose sum is σ = 3438417600. Its totient is φ = 541651968.

The previous prime is 1441024021. The next prime is 1441024051. The reversal of 1441024040 is 404201441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582887 + ... + 585353.

It is an arithmetic number, because the mean of its divisors is an integer number (53725275).

Almost surely, 21441024040 is an apocalyptic number.

1441024040 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 1441024040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719208800).

1441024040 is an abundant number, since it is smaller than the sum of its proper divisors (1997393560).

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

1441024040 is a wasteful number, since it uses less digits than its factorization.

1441024040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3354 (or 3350 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1441024040 is about 37960.8224357692. The cubic root of 1441024040 is about 1129.5108541554.

Adding to 1441024040 its reverse (404201441), we get a palindrome (1845225481).

The spelling of 1441024040 in words is "one billion, four hundred forty-one million, twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 859 1718 2467 3436 4295 4934 6872 8590 9868 12335 14603 17180 19736 24670 29206 34360 41939 49340 58412 73015 83878 98680 116824 146030 167756 209695 292060 335512 419390 584120 838780 1677560 2119153 4238306 8476612 10595765 16953224 21191530 36025601 42383060 72051202 84766120 144102404 180128005 288204808 360256010 720512020 1441024040