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141411433350 = 2352114116712517
BaseRepresentation
bin1000001110110011000…
…1110011101110000110
3111112000012120010022110
42003230301303232012
54304102311331400
6144544041441450
713134210231225
oct2035461635606
9445005503273
10141411433350
1154a77081990
12234a64a0286
1310448114865
146bb6c78cbc
153a29ac3e50
hex20ecc73b86

141411433350 has 192 divisors, whose sum is σ = 394291763712. Its totient is φ = 33242496000.

The previous prime is 141411433343. The next prime is 141411433369. The reversal of 141411433350 is 53334114141.

141411433350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 11291292 + ... + 11303808.

It is an arithmetic number, because the mean of its divisors is an integer number (2053602936).

Almost surely, 2141411433350 is an apocalyptic number.

141411433350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141411433350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197145881856).

141411433350 is an abundant number, since it is smaller than the sum of its proper divisors (252880330362).

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

141411433350 is a wasteful number, since it uses less digits than its factorization.

141411433350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12751 (or 12746 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 141411433350 its reverse (53334114141), we get a palindrome (194745547491).

The spelling of 141411433350 in words is "one hundred forty-one billion, four hundred eleven million, four hundred thirty-three thousand, three hundred fifty".