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141328279872 = 2633137997821
BaseRepresentation
bin1000001110011111010…
…0100110100101000000
3111111210102002111012000
42003213310212211000
54303420014423442
6144531511304000
713132150362243
oct2034764464500
9444712074160
10141328279872
1154a341474aa
122348267b000
1310433b1c010
146ba9bd125a
153a2264ad4c
hex20e7d26940

141328279872 has 448 divisors, whose sum is σ = 458331417600. Its totient is φ = 42440785920.

The previous prime is 141328279871. The next prime is 141328279891. The reversal of 141328279872 is 278972823141.

141328279872 is a `hidden beast` number, since 1 + 41 + 328 + 279 + 8 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141328279871) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172141222 + ... + 172142042.

It is an arithmetic number, because the mean of its divisors is an integer number (1023061200).

Almost surely, 2141328279872 is an apocalyptic number.

141328279872 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 141328279872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229165708800).

141328279872 is an abundant number, since it is smaller than the sum of its proper divisors (317003137728).

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

141328279872 is a wasteful number, since it uses less digits than its factorization.

141328279872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1015 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 141328279872 in words is "one hundred forty-one billion, three hundred twenty-eight million, two hundred seventy-nine thousand, eight hundred seventy-two".