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42041102414100 = 22352169982482053
BaseRepresentation
bin10011000111100011101001…
…11110011011000100010100
312111212002102201012211121220
421203301310332123010110
521002300134204222400
6225225225452410340
711566240465231626
oct1143616476330424
9174762381184556
1042041102414100
1112439593337a29
12486ba201769b0
131a5c5c73c8b0a
14a54b2bb02c16
154cd8bb3927a0
hex263c74f9b114

42041102414100 has 72 divisors (see below), whose sum is σ = 121710518882400. Its totient is φ = 11204361943680.

The previous prime is 42041102414089. The next prime is 42041102414107. The reversal of 42041102414100 is 141420114024.

42041102414100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42041102414107) 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 23 ways as a sum of consecutive naturals, for example, 40731327 + ... + 41750726.

Almost surely, 242041102414100 is an apocalyptic number.

It is an amenable number.

42041102414100 is an abundant number, since it is smaller than the sum of its proper divisors (79669416468300).

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

42041102414100 is a wasteful number, since it uses less digits than its factorization.

42041102414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82483769 (or 82483762 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 42041102414100 its reverse (141420114024), we get a palindrome (42182522528124).

The spelling of 42041102414100 in words is "forty-two trillion, forty-one billion, one hundred two million, four hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1699 3398 5097 6796 8495 10194 16990 20388 25485 33980 42475 50970 84950 101940 127425 169900 254850 509700 82482053 164964106 247446159 329928212 412410265 494892318 824820530 989784636 1237230795 1649641060 2062051325 2474461590 4124102650 4948923180 6186153975 8248205300 12372307950 24744615900 140137008047 280274016094 420411024141 560548032188 700685040235 840822048282 1401370080470 1681644096564 2102055120705 2802740160940 3503425201175 4204110241410 7006850402350 8408220482820 10510275603525 14013700804700 21020551207050 42041102414100