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141034424234000 = 245311217181189401
BaseRepresentation
bin100000000100010100100010…
…110000011111000000010000
3200111100202111111221020112212
4200010110202300133000100
5121441202000100442000
61215542153044211252
741464254336144263
oct4004244260370020
9614322444836485
10141034424234000
1140a353aa7a1700
12139994bb399b28
13609064883a96b
1426b81615a4cda
151148967ea0c35
hex804522c1f010

141034424234000 has 480 divisors, whose sum is σ = 399085902554976. Its totient is φ = 48001536000000.

The previous prime is 141034424233979. The next prime is 141034424234009. The reversal of 141034424234000 is 432424430141.

It can be written as a sum of positive squares in 16 ways, for example, as 138570189869056 + 2464234364944 = 11771584^2 + 1569788^2 .

It is not an unprimeable number, because it can be changed into a prime (141034424234009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 744539300 + ... + 744728700.

Almost surely, 2141034424234000 is an apocalyptic number.

141034424234000 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 141034424234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199542951277488).

141034424234000 is an abundant number, since it is smaller than the sum of its proper divisors (258051478320976).

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

141034424234000 is a wasteful number, since it uses less digits than its factorization.

141034424234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189644 (or 189617 counting only the distinct ones).

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

Adding to 141034424234000 its reverse (432424430141), we get a palindrome (141466848664141).

The spelling of 141034424234000 in words is "one hundred forty-one trillion, thirty-four billion, four hundred twenty-four million, two hundred thirty-four thousand".