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134243241440 = 25571119573493
BaseRepresentation
bin111110100000110000…
…1010100110111100000
3110211111122100020121012
41331001201110313200
54144412232211230
6141400454320052
712461446503440
oct1750141246740
9424448306535
10134243241440
1151a288a0240
1222025959028
13c875010599
1466d6c5a120
15375a635395
hex1f41854de0

134243241440 has 192 divisors, whose sum is σ = 416219005440. Its totient is φ = 39639767040.

The previous prime is 134243241397. The next prime is 134243241487. The reversal of 134243241440 is 44142342431.

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

It is a junction number, because it is equal to n+sod(n) for n = 134243241397 and 134243241406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52667 + ... + 520826.

It is an arithmetic number, because the mean of its divisors is an integer number (2167807320).

Almost surely, 2134243241440 is an apocalyptic number.

134243241440 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 134243241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208109502720).

134243241440 is an abundant number, since it is smaller than the sum of its proper divisors (281975764000).

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

134243241440 is a wasteful number, since it uses less digits than its factorization.

134243241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573545 (or 573537 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 134243241440 its reverse (44142342431), we get a palindrome (178385583871).

The spelling of 134243241440 in words is "one hundred thirty-four billion, two hundred forty-three million, two hundred forty-one thousand, four hundred forty".