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13044440000 = 26541719183
BaseRepresentation
bin11000010011000001…
…00101101111000000
31020200002102012200102
430021200211233000
5203203334040000
65554215341532
7641152624214
oct141140455700
936602365612
1013044440000
115594278929
1226406818a8
1312cb661467
148ba616944
155152ce3d5
hex309825bc0

13044440000 has 140 divisors (see below), whose sum is σ = 34250461344. Its totient is φ = 4910592000.

The previous prime is 13044439939. The next prime is 13044440009. The reversal of 13044440000 is 4444031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13044440009) 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 19 ways as a sum of consecutive naturals, for example, 670409 + ... + 689591.

Almost surely, 213044440000 is an apocalyptic number.

13044440000 is a gapful number since it is divisible by the number (10) 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 13044440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17125230672).

13044440000 is an abundant number, since it is smaller than the sum of its proper divisors (21206021344).

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

13044440000 is an equidigital number, since it uses as much as digits as its factorization.

13044440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19232 (or 19207 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 13044440000 its reverse (4444031), we get a palindrome (13048884031).

The spelling of 13044440000 in words is "thirteen billion, forty-four million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 136 160 170 200 250 272 320 340 400 425 500 544 625 680 800 850 1000 1088 1250 1360 1600 1700 2000 2125 2500 2720 3400 4000 4250 5000 5440 6800 8000 8500 10000 10625 13600 17000 19183 20000 21250 27200 34000 38366 40000 42500 68000 76732 85000 95915 136000 153464 170000 191830 306928 326111 340000 383660 479575 613856 652222 680000 767320 959150 1227712 1304444 1534640 1630555 1918300 2397875 2608888 3069280 3261110 3836600 4795750 5217776 6138560 6522220 7673200 8152775 9591500 10435552 11989375 13044440 15346400 16305550 19183000 20871104 23978750 26088880 30692800 32611100 38366000 40763875 47957500 52177760 65222200 76732000 81527750 95915000 104355520 130444400 153464000 163055500 191830000 203819375 260888800 326111000 383660000 407638750 521777600 652222000 767320000 815277500 1304444000 1630555000 2608888000 3261110000 6522220000 13044440000