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413300242410 = 235116146144537
BaseRepresentation
bin1100000001110101001…
…11010011011111101010
31110111210121022200121120
412000322213103133222
523232414330224120
6513511214320110
741600652044646
oct6007247233752
91414717280546
10413300242410
1114a309237380
12681254b9036
132cc87c94273
141600a765c26
15ab3e3a6140
hex603a9d37ea

413300242410 has 128 divisors (see below), whose sum is σ = 1102244951808. Its totient is φ = 98335488000.

The previous prime is 413300242409. The next prime is 413300242447. The reversal of 413300242410 is 14242003314.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9257662 + ... + 9302198.

It is an arithmetic number, because the mean of its divisors is an integer number (8611288686).

Almost surely, 2413300242410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413300242410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551122475904).

413300242410 is an abundant number, since it is smaller than the sum of its proper divisors (688944709398).

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

413300242410 is a wasteful number, since it uses less digits than its factorization.

413300242410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45080.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 413300242410 its reverse (14242003314), we get a palindrome (427542245724).

The spelling of 413300242410 in words is "four hundred thirteen billion, three hundred million, two hundred forty-two thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 61 66 110 122 165 183 305 330 366 461 610 671 915 922 1342 1383 1830 2013 2305 2766 3355 4026 4610 5071 6710 6915 10065 10142 13830 15213 20130 25355 28121 30426 44537 50710 56242 76065 84363 89074 133611 140605 152130 168726 222685 267222 281210 309331 421815 445370 489907 618662 668055 843630 927993 979814 1336110 1469721 1546655 1855986 2449535 2716757 2939442 3093310 4639965 4899070 5433514 7348605 8150271 9279930 13583785 14697210 16300542 20531557 27167570 29884327 40751355 41063114 59768654 61594671 81502710 89652981 102657785 123189342 149421635 179305962 205315570 225847127 298843270 307973355 448264905 451694254 615946710 677541381 896529810 1129235635 1252424977 1355082762 2258471270 2504849954 3387706905 3757274931 6262124885 6775413810 7514549862 12524249770 13776674747 18786374655 27553349494 37572749310 41330024241 68883373735 82660048482 137766747470 206650121205 413300242410