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41442332210224 = 2411724693249221
BaseRepresentation
bin10010110110001000010110…
…11111010111010000110000
312102201211220101102220021021
421123010023133113100300
520412442344021211344
6224050202233105224
711505052424411221
oct1133041337272060
9172654811386237
1041442332210224
111222865a151470
124793975258214
131a17cc249602a
14a33b68d07248
154bd024498b84
hex25b10b7d7430

41442332210224 has 40 divisors (see below), whose sum is σ = 87595256022480. Its totient is φ = 18837157996800.

The previous prime is 41442332210221. The next prime is 41442332210239. The reversal of 41442332210224 is 42201223324414.

It is a self number, because there is not a number n which added to its sum of digits gives 41442332210224.

It is not an unprimeable number, because it can be changed into a prime (41442332210221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11129934 + ... + 14379154.

It is an arithmetic number, because the mean of its divisors is an integer number (2189881400562).

Almost surely, 241442332210224 is an apocalyptic number.

41442332210224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

41442332210224 is an abundant number, since it is smaller than the sum of its proper divisors (46152923812256).

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

41442332210224 is a wasteful number, since it uses less digits than its factorization.

41442332210224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3321709 (or 3321703 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 41442332210224 its reverse (42201223324414), we get a palindrome (83643555534638).

The spelling of 41442332210224 in words is "forty-one trillion, four hundred forty-two billion, three hundred thirty-two million, two hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 72469 144938 289876 579752 797159 1159504 1594318 3188636 3249221 6377272 6498442 12754544 12996884 25993768 35741431 51987536 71482862 142965724 285931448 571862896 235467796649 470935593298 941871186596 1883742373192 2590145763139 3767484746384 5180291526278 10360583052556 20721166105112 41442332210224