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13004400243000 = 233538352226507
BaseRepresentation
bin1011110100111101001010…
…1010000011000100111000
31201001012122000100000220110
42331033102222003010320
53201031002430234000
643354050005024320
72511352106141235
oct275172252030470
951035560300813
1013004400243000
114164153a05461
12156040b3b50a0
137344044a4bba
1432d5b85a478c
1517841ab1c850
hexbd3d2a83138

13004400243000 has 128 divisors (see below), whose sum is σ = 41062569649920. Its totient is φ = 3426058793600.

The previous prime is 13004400242921. The next prime is 13004400243049. The reversal of 13004400243000 is 34200440031.

It is a super-2 number, since 2×130044002430002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 25864254 + ... + 26362253.

It is an arithmetic number, because the mean of its divisors is an integer number (320801325390).

Almost surely, 213004400243000 is an apocalyptic number.

13004400243000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13004400243000 is an abundant number, since it is smaller than the sum of its proper divisors (28058169406920).

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

13004400243000 is a wasteful number, since it uses less digits than its factorization.

13004400243000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52226614 (or 52226600 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 13004400243000 its reverse (34200440031), we get a palindrome (13038600683031).

The spelling of 13004400243000 in words is "thirteen trillion, four billion, four hundred million, two hundred forty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 83 100 120 125 150 166 200 249 250 300 332 375 415 498 500 600 664 750 830 996 1000 1245 1500 1660 1992 2075 2490 3000 3320 4150 4980 6225 8300 9960 10375 12450 16600 20750 24900 31125 41500 49800 62250 83000 124500 249000 52226507 104453014 156679521 208906028 261132535 313359042 417812056 522265070 626718084 783397605 1044530140 1253436168 1305662675 1566795210 2089060280 2611325350 3133590420 3916988025 4334800081 5222650700 6267180840 6528313375 7833976050 8669600162 10445301400 13004400243 13056626750 15667952100 17339200324 19584940125 21674000405 26008800486 26113253500 31335904200 34678400648 39169880250 43348000810 52017600972 52226507000 65022001215 78339760500 86696001620 104035201944 108370002025 130044002430 156679521000 173392003240 216740004050 260088004860 325110006075 433480008100 520176009720 541850010125 650220012150 866960016200 1083700020250 1300440024300 1625550030375 2167400040500 2600880048600 3251100060750 4334800081000 6502200121500 13004400243000