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41223422112 = 2533133493931
BaseRepresentation
bin100110011001000110…
…111000000010100000
310221101221010211010120
4212121012320002200
51133411144001422
630534321000240
72656361210055
oct463106700240
9127357124116
1041223422112
11165346021a4
127ba5783080
133b6c687982
141dd0c7702c
1511140ec45c
hex9991b80a0

41223422112 has 96 divisors (see below), whose sum is σ = 108895953600. Its totient is φ = 13654517760.

The previous prime is 41223422099. The next prime is 41223422117. The reversal of 41223422112 is 21122432214.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (41223422117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10484787 + ... + 10488717.

It is an arithmetic number, because the mean of its divisors is an integer number (1134332850).

Almost surely, 241223422112 is an apocalyptic number.

It is an amenable number.

41223422112 is an abundant number, since it is smaller than the sum of its proper divisors (67672531488).

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

41223422112 is a wasteful number, since it uses less digits than its factorization.

41223422112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4606 (or 4598 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

Adding to 41223422112 its reverse (21122432214), we get a palindrome (62345854326).

The spelling of 41223422112 in words is "forty-one billion, two hundred twenty-three million, four hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 313 349 626 698 939 1047 1252 1396 1878 2094 2504 2792 3756 3931 4188 5008 5584 7512 7862 8376 10016 11168 11793 15024 15724 16752 23586 30048 31448 33504 47172 62896 94344 109237 125792 188688 218474 327711 377376 436948 655422 873896 1230403 1310844 1371919 1747792 2460806 2621688 2743838 3495584 3691209 4115757 4921612 5243376 5487676 7382418 8231514 9843224 10486752 10975352 14764836 16463028 19686448 21950704 29529672 32926056 39372896 43901408 59059344 65852112 118118688 131704224 429410647 858821294 1288231941 1717642588 2576463882 3435285176 5152927764 6870570352 10305855528 13741140704 20611711056 41223422112