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41330011120 = 245544994811
BaseRepresentation
bin100110011111011101…
…011110101111110000
310221200100201002202121
4212133131132233300
51134120440323440
630553045324024
72662124204146
oct463735365760
9127610632677
1041330011120
1116589794092
128015406614
133b887975a8
1420010a1596
15111d65434a
hex99f75ebf0

41330011120 has 40 divisors (see below), whose sum is σ = 96110924400. Its totient is φ = 16528796160.

The previous prime is 41330011109. The next prime is 41330011127. The reversal of 41330011120 is 2111003314.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 41330011094 and 41330011103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41330011127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 388515 + ... + 483325.

It is an arithmetic number, because the mean of its divisors is an integer number (2402773110).

Almost surely, 241330011120 is an apocalyptic number.

41330011120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41330011120 is an abundant number, since it is smaller than the sum of its proper divisors (54780913280).

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

41330011120 is a wasteful number, since it uses less digits than its factorization.

41330011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100273 (or 100267 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 41330011120 its reverse (2111003314), we get a palindrome (43441014434).

The spelling of 41330011120 in words is "forty-one billion, three hundred thirty million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5449 10898 21796 27245 43592 54490 87184 94811 108980 189622 217960 379244 435920 474055 758488 948110 1516976 1896220 3792440 7584880 516625139 1033250278 2066500556 2583125695 4133001112 5166251390 8266002224 10332502780 20665005560 41330011120