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141240977920 = 295719597989
BaseRepresentation
bin1000001110001010011…
…1100100101000000000
3111111120022211002102101
42003202213210220000
54303230142243140
6144515112200144
713130040334510
oct2034247445000
9444508732371
10141240977920
1154999939229
1223459399054
131041ba03163
146b9c387840
153a19b5399a
hex20e29e4a00

141240977920 has 640 divisors, whose sum is σ = 424258560000. Its totient is φ = 44028002304.

The previous prime is 141240977897. The next prime is 141240977947. The reversal of 141240977920 is 29779042141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1586977236 + ... + 1586977324.

It is an arithmetic number, because the mean of its divisors is an integer number (662904000).

Almost surely, 2141240977920 is an apocalyptic number.

141240977920 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 141240977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212129280000).

141240977920 is an abundant number, since it is smaller than the sum of its proper divisors (283017582080).

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

141240977920 is an equidigital number, since it uses as much as digits as its factorization.

141240977920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The spelling of 141240977920 in words is "one hundred forty-one billion, two hundred forty million, nine hundred seventy-seven thousand, nine hundred twenty".