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141387328080 = 243251922734547
BaseRepresentation
bin1000001110101101010…
…1110110101001010000
3111111221112012110002200
42003223111312221100
54304030123444310
6144541421043200
713133465313405
oct2035325665120
9444845173080
10141387328080
1154a64508279
122349a3b6500
131044312499b
146bb39a22ac
153a279119c0
hex20eb576a50

141387328080 has 240 divisors, whose sum is σ = 500146470720. Its totient is φ = 35695337472.

The previous prime is 141387328037. The next prime is 141387328087. The reversal of 141387328080 is 80823783141.

141387328080 is a `hidden beast` number, since 1 + 413 + 87 + 3 + 2 + 80 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141387328087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31092367 + ... + 31096913.

It is an arithmetic number, because the mean of its divisors is an integer number (2083943628).

Almost surely, 2141387328080 is an apocalyptic number.

141387328080 is a gapful number since it is divisible by the number (10) 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 141387328080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250073235360).

141387328080 is an abundant number, since it is smaller than the sum of its proper divisors (358759142640).

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

141387328080 is a wasteful number, since it uses less digits than its factorization.

141387328080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6858 (or 6849 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 141387328080 in words is "one hundred forty-one billion, three hundred eighty-seven million, three hundred twenty-eight thousand, eighty".