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134412424000 = 265316801553
BaseRepresentation
bin111110100101110011…
…0101101001101000000
3110211221102200121102221
41331023212231031000
54200234040032000
6141425340420424
712465602516161
oct1751346551500
9424842617387
10134412424000
1152005344638
1222072547714
13c8a10977ca
1467114d9768
15376a40361a
hex1f4b9ad340

134412424000 has 56 divisors (see below), whose sum is σ = 332872387848. Its totient is φ = 53764966400.

The previous prime is 134412423997. The next prime is 134412424019. The reversal of 134412424000 is 424214431.

It can be written as a sum of positive squares in 4 ways, for example, as 17863926336 + 116548497664 = 133656^2 + 341392^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 8392777 + ... + 8408776.

It is an arithmetic number, because the mean of its divisors is an integer number (5944149783).

Almost surely, 2134412424000 is an apocalyptic number.

134412424000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134412424000 is an abundant number, since it is smaller than the sum of its proper divisors (198459963848).

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

134412424000 is an equidigital number, since it uses as much as digits as its factorization.

134412424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16801580 (or 16801560 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 134412424000 its reverse (424214431), we get a palindrome (134836638431).

The spelling of 134412424000 in words is "one hundred thirty-four billion, four hundred twelve million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 16801553 33603106 67206212 84007765 134412424 168015530 268824848 336031060 420038825 537649696 672062120 840077650 1075299392 1344124240 1680155300 2100194125 2688248480 3360310600 4200388250 5376496960 6720621200 8400776500 13441242400 16801553000 26882484800 33603106000 67206212000 134412424000