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40341430100 = 225217471014999
BaseRepresentation
bin100101100100100010…
…010101111101010100
310212010110111222112202
4211210202111331110
51130104401230400
630311012504032
72625461332556
oct454442257524
9125113458482
1040341430100
111612175a584
12799a31b018
133a5ba27aca
141d49a874d6
1510b197b4d5
hex964895f54

40341430100 has 144 divisors (see below), whose sum is σ = 95618880000. Its totient is φ = 14714112000.

The previous prime is 40341430069. The next prime is 40341430111. The reversal of 40341430100 is 103414304.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8067401 + ... + 8072399.

It is an arithmetic number, because the mean of its divisors is an integer number (664020000).

Almost surely, 240341430100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40341430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47809440000).

40341430100 is an abundant number, since it is smaller than the sum of its proper divisors (55277449900).

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

40341430100 is a wasteful number, since it uses less digits than its factorization.

40341430100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5178 (or 5171 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 40341430100 its reverse (103414304), we get a palindrome (40444844404).

The spelling of 40341430100 in words is "forty billion, three hundred forty-one million, four hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 47 50 68 85 94 100 101 170 188 202 235 340 404 425 470 505 799 850 940 1010 1175 1598 1700 1717 2020 2350 2525 3196 3434 3995 4700 4747 4999 5050 6868 7990 8585 9494 9998 10100 15980 17170 18988 19975 19996 23735 24995 34340 39950 42925 47470 49990 79900 80699 84983 85850 94940 99980 118675 124975 161398 169966 171700 234953 237350 249950 322796 339932 403495 424915 469906 474700 499900 504899 806990 849830 939812 1009798 1174765 1613980 1699660 2017475 2019596 2124575 2349530 2524495 3994201 4034950 4249150 4699060 5048990 5873825 7988402 8069900 8498300 8583283 10097980 11747650 12622475 15976804 17166566 19971005 23495300 23730253 25244950 34333132 39942010 42916415 47460506 50489900 79884020 85832830 94921012 99855025 118651265 171665660 199710050 214582075 237302530 399420100 403414301 429164150 474605060 593256325 806828602 858328300 1186512650 1613657204 2017071505 2373025300 4034143010 8068286020 10085357525 20170715050 40341430100