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141426244512 = 2533725096563
BaseRepresentation
bin1000001110110110101…
…0010011101110100000
3111112001020102121102000
42003231222103232200
54304120104311022
6144545331124000
713134450146400
oct2035552235640
9445036377360
10141426244512
1154a84478813
12234ab443600
131044b1cc267
146bb8c12800
153a2b04c6ac
hex20eda93ba0

141426244512 has 288 divisors, whose sum is σ = 480855009600. Its totient is φ = 40321967616.

The previous prime is 141426244493. The next prime is 141426244523. The reversal of 141426244512 is 215442624141.

141426244512 is a `hidden beast` number, since 1 + 4 + 1 + 42 + 62 + 44 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21545743 + ... + 21552305.

It is an arithmetic number, because the mean of its divisors is an integer number (1669635450).

Almost surely, 2141426244512 is an apocalyptic number.

141426244512 is a gapful number since it is divisible by the number (12) 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 141426244512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240427504800).

141426244512 is an abundant number, since it is smaller than the sum of its proper divisors (339428765088).

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

141426244512 is a wasteful number, since it uses less digits than its factorization.

141426244512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7105 (or 7084 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

Adding to 141426244512 its reverse (215442624141), we get a palindrome (356868868653).

The spelling of 141426244512 in words is "one hundred forty-one billion, four hundred twenty-six million, two hundred forty-four thousand, five hundred twelve".