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4413340240 = 245611098297
BaseRepresentation
bin1000001110000111…
…00011101001010000
3102101120110220122221
410013003203221100
533014303341430
62005533110424
7214236526111
oct40703435120
912346426587
104413340240
111965240931
12a32028414
1355445403a
142dc1cc208
151ac6c157a
hex1070e3a50

4413340240 has 80 divisors (see below), whose sum is σ = 10526178960. Its totient is φ = 1720258560.

The previous prime is 4413340231. The next prime is 4413340247. The reversal of 4413340240 is 420433144.

It can be written as a sum of positive squares in 8 ways, for example, as 26132544 + 4387207696 = 5112^2 + 66236^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4413340247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 527772 + ... + 536068.

It is an arithmetic number, because the mean of its divisors is an integer number (131577237).

Almost surely, 24413340240 is an apocalyptic number.

4413340240 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 4413340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5263089480).

4413340240 is an abundant number, since it is smaller than the sum of its proper divisors (6112838720).

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

4413340240 is a wasteful number, since it uses less digits than its factorization.

4413340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8480 (or 8474 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 4413340240 is about 66432.9755467870. The cubic root of 4413340240 is about 1640.2969222453.

Adding to 4413340240 its reverse (420433144), we get a palindrome (4833773384).

The spelling of 4413340240 in words is "four billion, four hundred thirteen million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 109 122 218 244 305 436 488 545 610 872 976 1090 1220 1744 2180 2440 4360 4880 6649 8297 8720 13298 16594 26596 33188 33245 41485 53192 66376 66490 82970 106384 132752 132980 165940 265960 331880 506117 531920 663760 904373 1012234 1808746 2024468 2530585 3617492 4048936 4521865 5061170 7234984 8097872 9043730 10122340 14469968 18087460 20244680 36174920 40489360 55166753 72349840 110333506 220667012 275833765 441334024 551667530 882668048 1103335060 2206670120 4413340240