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13144043000 = 2353111770289
BaseRepresentation
bin11000011110111001…
…00010110111111000
31020221000211120022102
430033130202313320
5203404333334000
610012134242532
7643502344034
oct141734426770
936830746272
1013144043000
115635519060
122669ab6448
13131619634a
148c99431c4
1551de063d5
hex30f722df8

13144043000 has 128 divisors (see below), whose sum is σ = 35527377600. Its totient is φ = 4498432000.

The previous prime is 13144042993. The next prime is 13144043009. The reversal of 13144043000 is 34044131.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144043009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151856 + ... + 222144.

Almost surely, 213144043000 is an apocalyptic number.

13144043000 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 13144043000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17763688800).

13144043000 is an abundant number, since it is smaller than the sum of its proper divisors (22383334600).

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

13144043000 is a wasteful number, since it uses less digits than its factorization.

13144043000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70338 (or 70324 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13144043000 its reverse (34044131), we get a palindrome (13178087131).

The spelling of 13144043000 in words is "thirteen billion, one hundred forty-four million, forty-three thousand".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 125 136 170 187 200 220 250 275 340 374 425 440 500 550 680 748 850 935 1000 1100 1375 1496 1700 1870 2125 2200 2750 3400 3740 4250 4675 5500 7480 8500 9350 11000 17000 18700 23375 37400 46750 70289 93500 140578 187000 281156 351445 562312 702890 773179 1194913 1405780 1546358 1757225 2389826 2811560 3092716 3514450 3865895 4779652 5974565 6185432 7028900 7731790 8786125 9559304 11949130 13144043 14057800 15463580 17572250 19329475 23898260 26288086 29872825 30927160 35144500 38658950 47796520 52576172 59745650 65720215 70289000 77317900 96647375 105152344 119491300 131440430 149364125 154635800 193294750 238982600 262880860 298728250 328601075 386589500 525761720 597456500 657202150 773179000 1194913000 1314404300 1643005375 2628808600 3286010750 6572021500 13144043000