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13044224013000 = 2335328181154291
BaseRepresentation
bin1011110111010001100001…
…0101101011001011001000
31201012000102101210011021220
42331310120111223023020
53202204032321404000
643424233410402040
72514262013455035
oct275643025531310
951160371704256
1013044224013000
11417a02a436274
121568084290320
137380acba354b
143314b55ba38c
1517949bde31a0
hexbdd1856b2c8

13044224013000 has 128 divisors (see below), whose sum is σ = 40699686867840. Its totient is φ = 3478313760000.

The previous prime is 13044224012849. The next prime is 13044224013043. The reversal of 13044224013000 is 31042244031.

13044224013000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84465855 + ... + 84620145.

It is an arithmetic number, because the mean of its divisors is an integer number (317966303655).

Almost surely, 213044224013000 is an apocalyptic number.

13044224013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13044224013000 is an abundant number, since it is smaller than the sum of its proper divisors (27655462854840).

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

13044224013000 is a wasteful number, since it uses less digits than its factorization.

13044224013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182496 (or 182482 counting only the distinct ones).

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

Adding to 13044224013000 its reverse (31042244031), we get a palindrome (13075266257031).

The spelling of 13044224013000 in words is "thirteen trillion, forty-four billion, two hundred twenty-four million, thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 28181 56362 84543 112724 140905 154291 169086 225448 281810 308582 338172 422715 462873 563620 617164 676344 704525 771455 845430 925746 1127240 1234328 1409050 1542910 1690860 1851492 2113575 2314365 2818100 3085820 3381720 3522625 3702984 3857275 4227150 4628730 5636200 6171640 7045250 7714550 8454300 9257460 10567875 11571825 14090500 15429100 16908600 18514920 19286375 21135750 23143650 28181000 30858200 38572750 42271500 46287300 57859125 77145500 84543000 92574600 115718250 154291000 231436500 462873000 4348074671 8696149342 13044224013 17392298684 21740373355 26088448026 34784597368 43480746710 52176896052 65221120065 86961493420 104353792104 108701866775 130442240130 173922986840 217403733550 260884480260 326105600325 434807467100 521768960520 543509333875 652211200650 869614934200 1087018667750 1304422401300 1630528001625 2174037335500 2608844802600 3261056003250 4348074671000 6522112006500 13044224013000