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13445044000 = 255315232207
BaseRepresentation
bin11001000010110001…
…10001011100100000
31021201000020000001121
430201120301130200
5210013412402000
610102045542024
7654115663003
oct144130613440
937630200047
1013445044000
11577a416613
122732874914
13136365494b
149178d753a
1553a561b1a
hex321631720

13445044000 has 96 divisors (see below), whose sum is σ = 33071141376. Its totient is φ = 5372051200.

The previous prime is 13445043973. The next prime is 13445044009. The reversal of 13445044000 is 44054431.

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

It is not an unprimeable number, because it can be changed into a prime (13445044009) 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 15 ways as a sum of consecutive naturals, for example, 6090897 + ... + 6093103.

It is an arithmetic number, because the mean of its divisors is an integer number (344491056).

Almost surely, 213445044000 is an apocalyptic number.

13445044000 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 13445044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16535570688).

13445044000 is an abundant number, since it is smaller than the sum of its proper divisors (19626097376).

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

13445044000 is a wasteful number, since it uses less digits than its factorization.

13445044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3755 (or 3737 counting only the distinct ones).

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

Adding to 13445044000 its reverse (44054431), we get a palindrome (13489098431).

The spelling of 13445044000 in words is "thirteen billion, four hundred forty-five million, forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 1523 2000 2207 3046 4000 4414 6092 7615 8828 11035 12184 15230 17656 22070 24368 30460 35312 38075 44140 48736 55175 60920 70624 76150 88280 110350 121840 152300 176560 190375 220700 243680 275875 304600 353120 380750 441400 551750 609200 761500 882800 1103500 1218400 1523000 1765600 2207000 3046000 3361261 4414000 6092000 6722522 8828000 13445044 16806305 26890088 33612610 53780176 67225220 84031525 107560352 134450440 168063050 268900880 336126100 420157625 537801760 672252200 840315250 1344504400 1680630500 2689008800 3361261000 6722522000 13445044000