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141277872120 = 233573112191493
BaseRepresentation
bin1000001110010011010…
…0010011111111111000
3111111122220020111202020
42003210310103333320
54303314113401440
6144522511034440
713130666046000
oct2034464237770
9444586214666
10141277872120
1154a08748400
122346980ba20
1310426550148
146ba322d000
153a1cee03d0
hex20e4d13ff8

141277872120 has 768 divisors, whose sum is σ = 572261760000. Its totient is φ = 27792737280.

The previous prime is 141277872107. The next prime is 141277872121. The reversal of 141277872120 is 21278772141.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141277872121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 94626094 + ... + 94627586.

It is an arithmetic number, because the mean of its divisors is an integer number (745132500).

Almost surely, 2141277872120 is an apocalyptic number.

141277872120 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 141277872120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286130880000).

141277872120 is an abundant number, since it is smaller than the sum of its proper divisors (430983887880).

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

141277872120 is a wasteful number, since it uses less digits than its factorization.

141277872120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 42.

The spelling of 141277872120 in words is "one hundred forty-one billion, two hundred seventy-seven million, eight hundred seventy-two thousand, one hundred twenty".