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41113414512 = 2433922110321
BaseRepresentation
bin100110010010100011…
…001110101101110000
310221010021010212002000
4212102203032231300
51133200013231022
630515351054000
72653554154152
oct462243165560
9127107125060
1041113414512
11164884a5925
127b74971300
133b5294c011
141dc03dcad2
15110961c6ac
hex9928ceb70

41113414512 has 80 divisors (see below), whose sum is σ = 118034960160. Its totient is φ = 13701657600.

The previous prime is 41113414481. The next prime is 41113414523. The reversal of 41113414512 is 21541431114.

It is a happy number.

41113414512 is a `hidden beast` number, since 4 + 1 + 1 + 134 + 14 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 3978312 + ... + 3988632.

It is an arithmetic number, because the mean of its divisors is an integer number (1475437002).

Almost surely, 241113414512 is an apocalyptic number.

It is an amenable number.

41113414512 is an abundant number, since it is smaller than the sum of its proper divisors (76921545648).

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

41113414512 is a wasteful number, since it uses less digits than its factorization.

41113414512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19559 (or 19547 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

Adding to 41113414512 its reverse (21541431114), we get a palindrome (62654845626).

It can be divided in two parts, 41113 and 414512, that added together give a square (455625 = 6752).

The spelling of 41113414512 in words is "forty-one billion, one hundred thirteen million, four hundred fourteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 9221 10321 18442 20642 27663 30963 36884 41284 55326 61926 73768 82568 82989 92889 110652 123852 147536 165136 165978 185778 221304 247704 248967 278667 331956 371556 442608 495408 497934 557334 663912 743112 995868 1114668 1327824 1486224 1991736 2229336 3983472 4458672 95169941 190339882 285509823 380679764 571019646 761359528 856529469 1142039292 1522719056 1713058938 2284078584 2569588407 3426117876 4568157168 5139176814 6852235752 10278353628 13704471504 20556707256 41113414512