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141323411412144 = 24341354115504883
BaseRepresentation
bin100000001000100001101011…
…101111000101010010110000
3200112101101102112021221210000
4200020201223233011102300
5122010420321310142034
61220323025014310000
741524164610502403
oct4010415357052260
9615341375257700
10141323411412144
1141036a164a2935
1213a25510658300
1360b1981ba2b20
1426c8137c59d3a
15115122d8db599
hex80886bbc54b0

141323411412144 has 200 divisors, whose sum is σ = 441309125279792. Its totient is φ = 43403746475520.

The previous prime is 141323411412121. The next prime is 141323411412149. The reversal of 141323411412144 is 441214114323141.

141323411412144 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 23 + 411 + 4 + 1 + 214 + 4 = 666.

It is a super-2 number, since 2×1413234114121442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 141323411412099 and 141323411412108.

It is not an unprimeable number, because it can be changed into a prime (141323411412149) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1362327 + ... + 16867209.

Almost surely, 2141323411412144 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 141323411412144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220654562639896).

141323411412144 is an abundant number, since it is smaller than the sum of its proper divisors (299985713867648).

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

141323411412144 is a wasteful number, since it uses less digits than its factorization.

141323411412144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15505457 (or 15505442 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

Adding to 141323411412144 its reverse (441214114323141), we get a palindrome (582537525735285).

The spelling of 141323411412144 in words is "one hundred forty-one trillion, three hundred twenty-three billion, four hundred eleven million, four hundred twelve thousand, one hundred forty-four".