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1143241424000 = 2753135496353
BaseRepresentation
bin10000101000101110011…
…111111011110010000000
311001021220110102201000222
4100220232133323302000
5122212324301032000
62233110423202212
7145411405524044
oct20505637736200
94037813381028
101143241424000
11400933a85945
121656992a6368
1383a655710b0
143d494364024
151eb11d19a85
hex10a2e7fbc80

1143241424000 has 128 divisors (see below), whose sum is σ = 3061029469680. Its totient is φ = 422119833600.

The previous prime is 1143241423967. The next prime is 1143241424047. The reversal of 1143241424000 is 4241423411.

It can be written as a sum of positive squares in 8 ways, for example, as 165531804736 + 977709619264 = 406856^2 + 988792^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2540177 + ... + 2956176.

Almost surely, 21143241424000 is an apocalyptic number.

1143241424000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1143241424000 is an abundant number, since it is smaller than the sum of its proper divisors (1917788045680).

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

1143241424000 is an equidigital number, since it uses as much as digits as its factorization.

1143241424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5496395 (or 5496373 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 1143241424000 its reverse (4241423411), we get a palindrome (1147482847411).

The spelling of 1143241424000 in words is "one trillion, one hundred forty-three billion, two hundred forty-one million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 200 208 250 260 320 325 400 416 500 520 640 650 800 832 1000 1040 1300 1600 1625 1664 2000 2080 2600 3200 3250 4000 4160 5200 6500 8000 8320 10400 13000 16000 20800 26000 41600 52000 104000 208000 5496353 10992706 21985412 27481765 43970824 54963530 71452589 87941648 109927060 137408825 142905178 175883296 219854120 274817650 285810356 351766592 357262945 439708240 549635300 571620712 687044125 703533184 714525890 879416480 1099270600 1143241424 1374088250 1429051780 1758832960 1786314725 2198541200 2286482848 2748176500 2858103560 3517665920 3572629450 4397082400 4572965696 5496353000 5716207120 7145258900 8794164800 8931573625 9145931392 10992706000 11432414240 14290517800 17588329600 17863147250 21985412000 22864828480 28581035600 35726294500 43970824000 45729656960 57162071200 71452589000 87941648000 114324142400 142905178000 228648284800 285810356000 571620712000 1143241424000