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13044041430 = 2357318292417
BaseRepresentation
bin11000010010111110…
…00100011011010110
31020200001122221221120
430021133010123112
5203203233311210
65554203024410
7641146344210
oct141137043326
936601587846
1013044041430
115594026432
12264050b106
1312cb551c14
148ba5515b0
15515251270
hex3097c46d6

13044041430 has 128 divisors (see below), whose sum is σ = 36991918080. Its totient is φ = 2880645120.

The previous prime is 13044041429. The next prime is 13044041467. The reversal of 13044041430 is 3414044031.

13044041430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13044041430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5395582 + ... + 5397998.

It is an arithmetic number, because the mean of its divisors is an integer number (288999360).

Almost surely, 213044041430 is an apocalyptic number.

13044041430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13044041430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18495959040).

13044041430 is an abundant number, since it is smaller than the sum of its proper divisors (23947876650).

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

13044041430 is a wasteful number, since it uses less digits than its factorization.

13044041430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3294.

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

Adding to 13044041430 its reverse (3414044031), we get a palindrome (16458085461).

The spelling of 13044041430 in words is "thirteen billion, forty-four million, forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 310 434 465 651 829 930 1085 1302 1658 2170 2417 2487 3255 4145 4834 4974 5803 6510 7251 8290 11606 12085 12435 14502 16919 17409 24170 24870 25699 29015 33838 34818 36255 50757 51398 58030 72510 74927 77097 84595 87045 101514 128495 149854 154194 169190 174090 179893 224781 253785 256990 359786 374635 385485 449562 507570 524489 539679 749270 770970 899465 1048978 1079358 1123905 1573467 1798930 2003693 2247810 2622445 2698395 3146934 4007386 5244890 5396790 6011079 7867335 10018465 12022158 14025851 15734670 20036930 28051702 30055395 42077553 60110790 62114483 70129255 84155106 124228966 140258510 186343449 210387765 310572415 372686898 420775530 434801381 621144830 869602762 931717245 1304404143 1863434490 2174006905 2608808286 4348013810 6522020715 13044041430