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40422443100 = 223521349920771
BaseRepresentation
bin100101101001010111…
…011000100001011100
310212100002221212111020
4211221113120201130
51130241121134400
630323025124140
72630464045224
oct455127304134
9125302855436
1040422443100
1116163462876
127a01489650
133a727512b0
141d56735084
1510b8b302a0
hex9695d885c

40422443100 has 144 divisors (see below), whose sum is σ = 126210672000. Its totient is φ = 9929721600.

The previous prime is 40422443071. The next prime is 40422443111. The reversal of 40422443100 is 134422404.

It is a happy number.

It is a super-2 number, since 2×404224431002 (a number of 22 digits) contains 22 as substring.

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, 1935715 + ... + 1956485.

It is an arithmetic number, because the mean of its divisors is an integer number (876463000).

Almost surely, 240422443100 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 40422443100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63105336000).

40422443100 is an abundant number, since it is smaller than the sum of its proper divisors (85788228900).

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

40422443100 is a wasteful number, since it uses less digits than its factorization.

40422443100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21300 (or 21293 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 40422443100 its reverse (134422404), we get a palindrome (40556865504).

The spelling of 40422443100 in words is "forty billion, four hundred twenty-two million, four hundred forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 499 650 780 975 998 1300 1497 1950 1996 2495 2994 3900 4990 5988 6487 7485 9980 12475 12974 14970 19461 20771 24950 25948 29940 32435 37425 38922 41542 49900 62313 64870 74850 77844 83084 97305 103855 124626 129740 149700 162175 194610 207710 249252 270023 311565 324350 389220 415420 486525 519275 540046 623130 648700 810069 973050 1038550 1080092 1246260 1350115 1557825 1620138 1946100 2077100 2700230 3115650 3240276 4050345 5400460 6231300 6750575 8100690 10364729 13501150 16201380 20251725 20729458 27002300 31094187 40503450 41458916 51823645 62188374 81006900 103647290 124376748 134741477 155470935 207294580 259118225 269482954 310941870 404224431 518236450 538965908 621883740 673707385 777354675 808448862 1036472900 1347414770 1554709350 1616897724 2021122155 2694829540 3109418700 3368536925 4042244310 6737073850 8084488620 10105610775 13474147700 20211221550 40422443100