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13141004042000 = 245373149604073
BaseRepresentation
bin1011111100111010000011…
…1000001011111100010000
31201112021020011111000201102
42333032200320023330100
53210300234013321000
643540521030323532
72524256221235012
oct277164070137420
951467204430642
1013141004042000
11420708321850a
1215829937b95a8
137442645712b3
14336056b341b2
1517bc635d73d5
hexbf3a0e0bf10

13141004042000 has 160 divisors (see below), whose sum is σ = 32426450690400. Its totient is φ = 5149592985600.

The previous prime is 13141004041993. The next prime is 13141004042003. The reversal of 13141004042000 is 24040014131.

13141004042000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 9078699295744 + 4062304746256 = 3013088^2 + 2015516^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13141004042003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21451964 + ... + 22056036.

It is an arithmetic number, because the mean of its divisors is an integer number (202665316815).

Almost surely, 213141004042000 is an apocalyptic number.

13141004042000 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 13141004042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16213225345200).

13141004042000 is an abundant number, since it is smaller than the sum of its proper divisors (19285446648400).

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

13141004042000 is a wasteful number, since it uses less digits than its factorization.

13141004042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604318 (or 604302 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 13141004042000 its reverse (24040014131), we get a palindrome (13165044056131).

The spelling of 13141004042000 in words is "thirteen trillion, one hundred forty-one billion, four million, forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 146 149 200 250 292 298 365 400 500 584 596 730 745 1000 1168 1192 1460 1490 1825 2000 2384 2920 2980 3650 3725 5840 5960 7300 7450 9125 10877 11920 14600 14900 18250 18625 21754 29200 29800 36500 37250 43508 54385 59600 73000 74500 87016 108770 146000 149000 174032 217540 271925 298000 435080 543850 604073 870160 1087700 1208146 1359625 2175400 2416292 2719250 3020365 4350800 4832584 5438500 6040730 9665168 10877000 12081460 15101825 21754000 24162920 30203650 44097329 48325840 60407300 75509125 88194658 90006877 120814600 151018250 176389316 180013754 220486645 241629200 302036500 352778632 360027508 440973290 450034385 604073000 705557264 720055016 881946580 900068770 1102433225 1208146000 1440110032 1763893160 1800137540 2204866450 2250171925 3527786320 3600275080 4409732900 4500343850 5512166125 6570502021 7200550160 8819465800 9000687700 11024332250 11250859625 13141004042 17638931600 18001375400 22048664500 22501719250 26282008084 32852510105 36002750800 44097329000 45003438500 52564016168 65705020210 88194658000 90006877000 105128032336 131410040420 164262550525 180013754000 262820080840 328525101050 525640161680 657050202100 821312752625 1314100404200 1642625505250 2628200808400 3285251010500 6570502021000 13141004042000