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41121421341000 = 2335371113115111897
BaseRepresentation
bin10010101100110010100111…
…01101100011000101001000
312101121011120120000122121020
421112121103231203011020
520342213132330403000
6223242530431312440
711442632104133340
oct1126312355430510
9171534516018536
1041121421341000
111211455134a670
12474173497b720
1319c396c35ba30
14a22404933d20
154b49e10e6ba0
hex256653b63148

41121421341000 has 1024 divisors, whose sum is σ = 172425526640640. Its totient is φ = 7879910400000.

The previous prime is 41121421340893. The next prime is 41121421341083. The reversal of 41121421341000 is 14312412114.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3456447052 + ... + 3456458948.

It is an arithmetic number, because the mean of its divisors is an integer number (168384303360).

Almost surely, 241121421341000 is an apocalyptic number.

41121421341000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41121421341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86212763320320).

41121421341000 is an abundant number, since it is smaller than the sum of its proper divisors (131304105299640).

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

41121421341000 is a wasteful number, since it uses less digits than its factorization.

41121421341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13103 (or 13089 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 41121421341000 its reverse (14312412114), we get a palindrome (41135733753114).

The spelling of 41121421341000 in words is "forty-one trillion, one hundred twenty-one billion, four hundred twenty-one million, three hundred forty-one thousand".