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41441424144 = 24317179283721
BaseRepresentation
bin100110100110000110…
…011111001100010000
310221222010100110200220
4212212012133030100
51134333001033034
631012105313040
72664646202361
oct464606371420
9127863313626
1041441424144
111663667036a
128046795780
133ba58a5b63
142011bc3b68
151128310749
hex9a619f310

41441424144 has 80 divisors (see below), whose sum is σ = 113988150720. Its totient is φ = 12928552960.

The previous prime is 41441424113. The next prime is 41441424151. The reversal of 41441424144 is 44142414414.

It is a super-2 number, since 2×414414241442 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4204 + ... + 287924.

It is an arithmetic number, because the mean of its divisors is an integer number (1424851884).

Almost surely, 241441424144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41441424144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56994075360).

41441424144 is an abundant number, since it is smaller than the sum of its proper divisors (72546726576).

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

41441424144 is a wasteful number, since it uses less digits than its factorization.

41441424144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283928 (or 283922 counting only the distinct ones).

The product of its digits is 32768, while the sum is 33.

Adding to 41441424144 its reverse (44142414414), we get a palindrome (85583838558).

The spelling of 41441424144 in words is "forty-one billion, four hundred forty-one million, four hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 179 204 272 358 408 537 716 816 1074 1432 2148 2864 3043 4296 6086 8592 9129 12172 18258 24344 36516 48688 73032 146064 283721 567442 851163 1134884 1702326 2269768 3404652 4539536 4823257 6809304 9646514 13618608 14469771 19293028 28939542 38586056 50786059 57879084 77172112 101572118 115758168 152358177 203144236 231516336 304716354 406288472 609432708 812576944 863363003 1218865416 1726726006 2437730832 2590089009 3453452012 5180178018 6906904024 10360356036 13813808048 20720712072 41441424144