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141334030444100 = 2252135371235112289
BaseRepresentation
bin100000001000101011100100…
…101011011110011001000100
3200112102101211120212200002212
4200020223210223132121010
5122011104043243202400
61220331542433122552
741525022013001264
oct4010534453363104
9615371746780085
10141334030444100
11410404756847aa
1213a275949b9458
1360b2984bc07a0
1426c88642bb7a4
151151650cc6335
hex808ae4ade644

141334030444100 has 288 divisors, whose sum is σ = 341431217003520. Its totient is φ = 50453544960000.

The previous prime is 141334030444093. The next prime is 141334030444109. The reversal of 141334030444100 is 1444030433141.

It is not an unprimeable number, because it can be changed into a prime (141334030444109) 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, 11500850756 + ... + 11500863044.

It is an arithmetic number, because the mean of its divisors is an integer number (1185525059040).

Almost surely, 2141334030444100 is an apocalyptic number.

141334030444100 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 141334030444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170715608501760).

141334030444100 is an abundant number, since it is smaller than the sum of its proper divisors (200097186559420).

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

141334030444100 is a wasteful number, since it uses less digits than its factorization.

141334030444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14791 (or 14784 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 141334030444100 its reverse (1444030433141), we get a palindrome (142778060877241).

The spelling of 141334030444100 in words is "one hundred forty-one trillion, three hundred thirty-four billion, thirty million, four hundred forty-four thousand, one hundred".