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1401144220 = 225723833733
BaseRepresentation
bin101001110000011…
…1100001110011100
310121122111111112101
41103200330032130
510332143103340
6351011214444
746502346400
oct12340741634
93548444471
101401144220
11659a00433
123312a7424
1319438c528
14d412d100
158301dc9a
hex5383c39c

1401144220 has 72 divisors (see below), whose sum is σ = 3432651264. Its totient is φ = 479009664.

The previous prime is 1401144203. The next prime is 1401144229. The reversal of 1401144220 is 224411041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401144229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 373474 + ... + 377206.

It is an arithmetic number, because the mean of its divisors is an integer number (47675712).

Almost surely, 21401144220 is an apocalyptic number.

1401144220 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 1401144220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716325632).

1401144220 is an abundant number, since it is smaller than the sum of its proper divisors (2031507044).

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

1401144220 is a wasteful number, since it uses less digits than its factorization.

1401144220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4139 (or 4130 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1401144220 is about 37431.8610277395. The cubic root of 1401144220 is about 1118.9936272475.

Adding to 1401144220 its reverse (224411041), we get a palindrome (1625555261).

The spelling of 1401144220 in words is "one billion, four hundred one million, one hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 383 490 766 980 1532 1915 2681 3733 3830 5362 7466 7660 10724 13405 14932 18665 18767 26131 26810 37330 37534 52262 53620 74660 75068 93835 104524 130655 182917 187670 261310 365834 375340 522620 731668 914585 1429739 1829170 2859478 3658340 5718956 7148695 10008173 14297390 20016346 28594780 40032692 50040865 70057211 100081730 140114422 200163460 280228844 350286055 700572110 1401144220