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141164926848 = 273311219109163
BaseRepresentation
bin1000001101111000010…
…1011101011110000000
3111111101000201021222000
42003132011131132000
54303101210124343
6144503354144000
713125125036331
oct2033605353600
9444330637860
10141164926848
115495aa14a00
1223437a22000
131040902631a
146b9222c288
153a1312eed3
hex20de15d780

141164926848 has 768 divisors, whose sum is σ = 489461280000. Its totient is φ = 39907676160.

The previous prime is 141164926823. The next prime is 141164926849. The reversal of 141164926848 is 848629461141.

141164926848 is a `hidden beast` number, since 1 + 41 + 16 + 492 + 68 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 141164926794 and 141164926803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141164926849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 866042415 + ... + 866042577.

It is an arithmetic number, because the mean of its divisors is an integer number (637319375).

Almost surely, 2141164926848 is an apocalyptic number.

141164926848 is a gapful number since it is divisible by the number (18) 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 141164926848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244730640000).

141164926848 is an abundant number, since it is smaller than the sum of its proper divisors (348296353152).

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

141164926848 is a wasteful number, since it uses less digits than its factorization.

141164926848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 307 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 141164926848 in words is "one hundred forty-one billion, one hundred sixty-four million, nine hundred twenty-six thousand, eight hundred forty-eight".