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4334121040 = 245137395449
BaseRepresentation
bin1000000100101010…
…10111000001010000
3102012001102011100111
410002111113001100
532334013333130
61554023131104
7212255264254
oct40225270120
912161364314
104334121040
111924553317
12a0b5a3a94
13540c08182
142d188a264
151a577402a
hex102557050

4334121040 has 40 divisors (see below), whose sum is σ = 10150410600. Its totient is φ = 1720989696.

The previous prime is 4334121031. The next prime is 4334121091. The reversal of 4334121040 is 401214334.

It can be written as a sum of positive squares in 4 ways, for example, as 542517264 + 3791603776 = 23292^2 + 61576^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186765 + ... + 208684.

It is an arithmetic number, because the mean of its divisors is an integer number (253760265).

Almost surely, 24334121040 is an apocalyptic number.

4334121040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4334121040 is an abundant number, since it is smaller than the sum of its proper divisors (5816289560).

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

4334121040 is a wasteful number, since it uses less digits than its factorization.

4334121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395599 (or 395593 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 4334121040 is about 65834.0416501980. The cubic root of 4334121040 is about 1630.4231954725.

Adding to 4334121040 its reverse (401214334), we get a palindrome (4735335374).

The spelling of 4334121040 in words is "four billion, three hundred thirty-four million, one hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 1096 1370 2192 2740 5480 10960 395449 790898 1581796 1977245 3163592 3954490 6327184 7908980 15817960 31635920 54176513 108353026 216706052 270882565 433412104 541765130 866824208 1083530260 2167060520 4334121040