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141001959445824 = 26331113349600701
BaseRepresentation
bin100000000011110110010011…
…101101001001010101000000
3200111020122200222201010102210
4200003312103231021111000
5121440134003104231244
61215515223403142120
741462025000043131
oct4003662355112500
9614218628633383
10141001959445824
1140a22660214854
121399315ab14940
13608a573924729
1426b6761a73c88
151147bb7ca44b9
hex803d93b49540

141001959445824 has 224 divisors, whose sum is σ = 389623967308800. Its totient is φ = 44952735744000.

The previous prime is 141001959445811. The next prime is 141001959445889. The reversal of 141001959445824 is 428544959100141.

It is a super-3 number, since 3×1410019594458243 (a number of 43 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 234428674 + ... + 235029374.

It is an arithmetic number, because the mean of its divisors is an integer number (1739392711200).

Almost surely, 2141001959445824 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 141001959445824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194811983654400).

141001959445824 is an abundant number, since it is smaller than the sum of its proper divisors (248622007862976).

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

141001959445824 is a wasteful number, since it uses less digits than its factorization.

141001959445824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601209 (or 601199 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 57.

The spelling of 141001959445824 in words is "one hundred forty-one trillion, one billion, nine hundred fifty-nine million, four hundred forty-five thousand, eight hundred twenty-four".