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13143412544000 = 2953832474287
BaseRepresentation
bin1011111101000011000001…
…1011111001001000000000
31201112111110000111121100012
42333100300123321020000
53210320202102402000
643542000025044052
72524403005201514
oct277206033711000
951474400447305
1013143412544000
1142080a9807732
121583346326628
137445595459cb
14336204968144
1517bd54c8c735
hexbf4306f9200

13143412544000 has 160 divisors (see below), whose sum is σ = 33168800560896. Its totient is φ = 5194021171200.

The previous prime is 13143412543979. The next prime is 13143412544011. The reversal of 13143412544000 is 44521434131.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4074857 + ... + 6549143.

Almost surely, 213143412544000 is an apocalyptic number.

13143412544000 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 13143412544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16584400280448).

13143412544000 is an abundant number, since it is smaller than the sum of its proper divisors (20025388016896).

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

13143412544000 is an frugal number, since it uses more digits than its factorization.

13143412544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474403 (or 2474377 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 13143412544000 its reverse (44521434131), we get a palindrome (13187933978131).

The spelling of 13143412544000 in words is "thirteen trillion, one hundred forty-three billion, four hundred twelve million, five hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 83 100 125 128 160 166 200 250 256 320 332 400 415 500 512 640 664 800 830 1000 1280 1328 1600 1660 2000 2075 2560 2656 3200 3320 4000 4150 5312 6400 6640 8000 8300 10375 10624 12800 13280 16000 16600 20750 21248 26560 32000 33200 41500 42496 53120 64000 66400 83000 106240 132800 166000 212480 265600 332000 531200 664000 1062400 1328000 2474287 2656000 4948574 5312000 9897148 12371435 19794296 24742870 39588592 49485740 61857175 79177184 98971480 123714350 158354368 197942960 205365821 247428700 309285875 316708736 395885920 410731642 494857400 618571750 633417472 791771840 821463284 989714800 1026829105 1237143500 1266834944 1583543680 1642926568 1979429600 2053658210 2474287000 3167087360 3285853136 3958859200 4107316420 4948574000 5134145525 6334174720 6571706272 7917718400 8214632840 9897148000 10268291050 13143412544 15835436800 16429265680 19794296000 20536582100 25670727625 26286825088 31670873600 32858531360 39588592000 41073164200 51341455250 52573650176 65717062720 79177184000 82146328400 102682910500 105147300352 131434125440 158354368000 164292656800 205365821000 262868250880 328585313600 410731642000 525736501760 657170627200 821463284000 1314341254400 1642926568000 2628682508800 3285853136000 6571706272000 13143412544000