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141241144441100 = 2252114314959933457
BaseRepresentation
bin100000000111010101000100…
…001111011111100100001100
3200112002112002012110211010112
4200013111010033133210030
5122003043330434103400
61220221141435455152
741515223141001644
oct4007250417374414
9615075065424115
10141241144441100
114100503a984970
1213a115915b74b8
1360a6ca11bb732
1426c4171dad524
15114e0163c2835
hex8075443df90c

141241144441100 has 288 divisors, whose sum is σ = 345013542720000. Its totient is φ = 49744629043200.

The previous prime is 141241144441099. The next prime is 141241144441207. The reversal of 141241144441100 is 1144441142141.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4221555572 + ... + 4221589028.

It is an arithmetic number, because the mean of its divisors is an integer number (1197963690000).

Almost surely, 2141241144441100 is an apocalyptic number.

141241144441100 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 141241144441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172506771360000).

141241144441100 is an abundant number, since it is smaller than the sum of its proper divisors (203772398278900).

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

141241144441100 is a wasteful number, since it uses less digits than its factorization.

141241144441100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34273 (or 34266 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

Adding to 141241144441100 its reverse (1144441142141), we get a palindrome (142385585583241).

The spelling of 141241144441100 in words is "one hundred forty-one trillion, two hundred forty-one billion, one hundred forty-four million, four hundred forty-one thousand, one hundred".