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41242322040 = 23356125122447
BaseRepresentation
bin100110011010001110…
…111110010001111000
310221110020201000221220
4212122032332101320
51133431013301130
630540234032040
72660010644643
oct463216762170
9127406630856
1041242322040
1116544240a77
127babb78620
133b7357446a
141dd3596a5a
151115ad2410
hex99a3be478

41242322040 has 128 divisors (see below), whose sum is σ = 126261918720. Its totient is φ = 10774080000.

The previous prime is 41242322029. The next prime is 41242322041. The reversal of 41242322040 is 4022324214.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41242322040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41242322041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1826097 + ... + 1848543.

It is an arithmetic number, because the mean of its divisors is an integer number (986421240).

Almost surely, 241242322040 is an apocalyptic number.

41242322040 is a gapful number since it is divisible by the number (40) 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 41242322040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63130959360).

41242322040 is an abundant number, since it is smaller than the sum of its proper divisors (85019596680).

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

41242322040 is a wasteful number, since it uses less digits than its factorization.

41242322040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22773 (or 22769 counting only the distinct ones).

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

Adding to 41242322040 its reverse (4022324214), we get a palindrome (45264646254).

The spelling of 41242322040 in words is "forty-one billion, two hundred forty-two million, three hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 251 305 366 488 502 610 732 753 915 1004 1220 1255 1464 1506 1830 2008 2440 2510 3012 3660 3765 5020 6024 7320 7530 10040 15060 15311 22447 30120 30622 44894 45933 61244 67341 76555 89788 91866 112235 122488 134682 153110 179576 183732 224470 229665 269364 306220 336705 367464 448940 459330 538728 612440 673410 897880 918660 1346820 1369267 1837320 2693640 2738534 4107801 5477068 5634197 6846335 8215602 10954136 11268394 13692670 16431204 16902591 20539005 22536788 27385340 28170985 32862408 33805182 41078010 45073576 54770680 56341970 67610364 82156020 84512955 112683940 135220728 164312040 169025910 225367880 338051820 343686017 676103640 687372034 1031058051 1374744068 1718430085 2062116102 2749488136 3436860170 4124232204 5155290255 6873720340 8248464408 10310580510 13747440680 20621161020 41242322040