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13005220444000 = 255331710256483
BaseRepresentation
bin1011110101000000001110…
…0010110111011101100000
31201001021202011200120011021
42331100003202313131200
53201034142413202000
643354303224455224
72511411325551631
oct275200342673540
951037664616137
1013005220444000
114164534993624
1215605ba01a514
137345053ab835
1432d6554ab888
15178467b3511a
hexbd4038b7760

13005220444000 has 96 divisors (see below), whose sum is σ = 32054630471136. Its totient is φ = 5185677299200.

The previous prime is 13005220443977. The next prime is 13005220444001. The reversal of 13005220444000 is 44402250031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13005220444001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3860242 + ... + 6396241.

It is an arithmetic number, because the mean of its divisors is an integer number (333902400741).

Almost surely, 213005220444000 is an apocalyptic number.

13005220444000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13005220444000 is an abundant number, since it is smaller than the sum of its proper divisors (19049410027136).

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

13005220444000 is a wasteful number, since it uses less digits than its factorization.

13005220444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10256825 (or 10256807 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 13005220444000 its reverse (44402250031), we get a palindrome (13049622694031).

The spelling of 13005220444000 in words is "thirteen trillion, five billion, two hundred twenty million, four hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 317 400 500 634 800 1000 1268 1585 2000 2536 3170 4000 5072 6340 7925 10144 12680 15850 25360 31700 39625 50720 63400 79250 126800 158500 253600 317000 634000 1268000 10256483 20512966 41025932 51282415 82051864 102564830 164103728 205129660 256412075 328207456 410259320 512824150 820518640 1025648300 1282060375 1641037280 2051296600 2564120750 3251305111 4102593200 5128241500 6502610222 8205186400 10256483000 13005220444 16256525555 20512966000 26010440888 32513051110 41025932000 52020881776 65026102220 81282627775 104041763552 130052204440 162565255550 260104408880 325130511100 406413138875 520208817760 650261022200 812826277750 1300522044400 1625652555500 2601044088800 3251305111000 6502610222000 13005220444000