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41032243320 = 23357116212971
BaseRepresentation
bin100110001101101101…
…100101100001111000
310220220121101221010120
4212031231211201320
51133013223241240
630503331213240
72651550212355
oct461555454170
9126817357116
1041032243320
11164466a47a2
127b51747220
133b3bb9b823
141db370d62c
151102436ad0
hex98db65878

41032243320 has 128 divisors (see below), whose sum is σ = 124949537280. Its totient is φ = 10777536000.

The previous prime is 41032243319. The next prime is 41032243327. The reversal of 41032243320 is 2334223014.

41032243320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41032243327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13809435 + ... + 13812405.

It is an arithmetic number, because the mean of its divisors is an integer number (976168260).

Almost surely, 241032243320 is an apocalyptic number.

41032243320 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 41032243320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62474768640).

41032243320 is an abundant number, since it is smaller than the sum of its proper divisors (83917293960).

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

41032243320 is a wasteful number, since it uses less digits than its factorization.

41032243320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4677 (or 4673 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 41032243320 its reverse (2334223014), we get a palindrome (43366466334).

The spelling of 41032243320 in words is "forty-one billion, thirty-two million, two hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1420 1621 1704 2130 2840 2971 3242 4260 4863 5942 6484 8105 8520 8913 9726 11884 12968 14855 16210 17826 19452 23768 24315 29710 32420 35652 38904 44565 48630 59420 64840 71304 89130 97260 115091 118840 178260 194520 210941 230182 345273 356520 421882 460364 575455 632823 690546 843764 920728 1054705 1150910 1265646 1381092 1687528 1726365 2109410 2301820 2531292 2762184 3164115 3452730 4218820 4603640 4815991 5062584 6328230 6905460 8437640 9631982 12656460 13810920 14447973 19263964 24079955 25312920 28895946 38527928 48159910 57791892 72239865 96319820 115583784 144479730 192639640 288959460 341935361 577918920 683870722 1025806083 1367741444 1709676805 2051612166 2735482888 3419353610 4103224332 5129030415 6838707220 8206448664 10258060830 13677414440 20516121660 41032243320