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141422303330432 = 273749036090379
BaseRepresentation
bin100000001001111101110010…
…001001110100000010000000
3200112201211200110212220200022
4200021331302021310002000
5122014030334123033212
61220440301555313012
741534265341105105
oct4011756211640200
9615654613786608
10141422303330432
11410749533a3823
1213a4070b2ab768
1360bb0b1c621c7
1426ccc39a76aac
151153aba6e5772
hex809f72274080

141422303330432 has 64 divisors (see below), whose sum is σ = 289413395908800. Its totient is φ = 68785995930624.

The previous prime is 141422303330377. The next prime is 141422303330447. The reversal of 141422303330432 is 234033303224141.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 141422303330392 and 141422303330401.

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 7 ways as a sum of consecutive naturals, for example, 20175419 + ... + 26265797.

It is an arithmetic number, because the mean of its divisors is an integer number (4522084311075).

Almost surely, 2141422303330432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141422303330432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144706697954400).

141422303330432 is an abundant number, since it is smaller than the sum of its proper divisors (147991092578368).

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

141422303330432 is an equidigital number, since it uses as much as digits as its factorization.

141422303330432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6095333 (or 6095321 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 35.

Adding to 141422303330432 its reverse (234033303224141), we get a palindrome (375455606554573).

The spelling of 141422303330432 in words is "one hundred forty-one trillion, four hundred twenty-two billion, three hundred three million, three hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2368 4736 4903 9806 19612 39224 78448 156896 181411 313792 362822 627584 725644 1451288 2902576 5805152 6090379 11610304 12180758 23220608 24361516 48723032 97446064 194892128 225344023 389784256 450688046 779568512 901376092 1802752184 3605504368 7211008736 14422017472 28844034944 29861128237 59722256474 119444512948 238889025896 477778051792 955556103584 1104861744769 1911112207168 2209723489538 3822224414336 4419446979076 8838893958152 17677787916304 35355575832608 70711151665216 141422303330432