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140410440400 = 2452352999469
BaseRepresentation
bin1000001011000100011…
…1010100101011010000
3111102102110000102010111
42002301013110223100
54300030033043100
6144300443011104
713100334023356
oct2026107245320
9442373012114
10140410440400
115460304008a
1223267209a94
131031891a739
146b1dd4d7d6
1539bbc986ba
hex20b11d4ad0

140410440400 has 60 divisors (see below), whose sum is σ = 337435065100. Its totient is φ = 56147696640.

The previous prime is 140410440389. The next prime is 140410440403. The reversal of 140410440400 is 4044014041.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 35843576976 + 104566863424 = 189324^2 + 323368^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140410440403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1361866 + ... + 1461334.

Almost surely, 2140410440400 is an apocalyptic number.

140410440400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140410440400 is an abundant number, since it is smaller than the sum of its proper divisors (197024624700).

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

140410440400 is a wasteful number, since it uses less digits than its factorization.

140410440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103016 (or 103005 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 140410440400 its reverse (4044014041), we get a palindrome (144454454441).

The spelling of 140410440400 in words is "one hundred forty billion, four hundred ten million, four hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 3529 7058 14116 17645 28232 35290 56464 70580 88225 99469 141160 176450 198938 282320 352900 397876 497345 705800 795752 994690 1411600 1591504 1989380 2486725 3978760 4973450 7957520 9946900 19893800 39787600 351026101 702052202 1404104404 1755130505 2808208808 3510261010 5616417616 7020522020 8775652525 14041044040 17551305050 28082088080 35102610100 70205220200 140410440400