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41100420042 = 232111372416287
BaseRepresentation
bin100110010001110001…
…101010001111001010
310221002100200200000100
4212101301222033022
51133133201420132
630514204350230
72653335543333
oct462161521712
9127070620010
1041100420042
111648112a9a0
127b70545376
133b5004c496
141dbc7b928a
15110840237c
hex991c6a3ca

41100420042 has 96 divisors (see below), whose sum is σ = 98277214464. Its totient is φ = 12310502400.

The previous prime is 41100420041. The next prime is 41100420059. The reversal of 41100420042 is 24002400114.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 41100419997 and 41100420024.

It is not an unprimeable number, because it can be changed into a prime (41100420041) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6534223 + ... + 6540509.

It is an arithmetic number, because the mean of its divisors is an integer number (1023720984).

Almost surely, 241100420042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41100420042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49138607232).

41100420042 is an abundant number, since it is smaller than the sum of its proper divisors (57176794422).

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

41100420042 is a wasteful number, since it uses less digits than its factorization.

41100420042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6684 (or 6681 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 41100420042 its reverse (24002400114), we get a palindrome (65102820156).

The spelling of 41100420042 in words is "forty-one billion, one hundred million, four hundred twenty thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 137 198 241 274 411 482 723 822 1233 1446 1507 2169 2466 2651 3014 4338 4521 5302 6287 7953 9042 12574 13563 15906 18861 23859 27126 33017 37722 47718 56583 66034 69157 99051 113166 138314 198102 207471 297153 363187 414942 594306 622413 726374 861319 1089561 1244826 1515167 1722638 2179122 2583957 3030334 3268683 4545501 5167914 6537366 7751871 9091002 9474509 13636503 15503742 16666837 18949018 27273006 28423527 33333674 50000511 56847054 85270581 100001022 150001533 170541162 207577879 300003066 415155758 622733637 1245467274 1868200911 2283356669 3736401822 4566713338 6850070007 13700140014 20550210021 41100420042