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127139744940 = 223513798997239
BaseRepresentation
bin111011001101000011…
…1101000110010101100
3110011011120212020022020
41312122013220302230
54040340233314230
6134223541550140
712120433000215
oct1663207506254
9404146766266
10127139744940
1149a1308717a
1220782a15350
13bcb243b510
14622167c40c
153491bc5810
hex1d9a1e8cac

127139744940 has 384 divisors, whose sum is σ = 398297088000. Its totient is φ = 30111105024.

The previous prime is 127139744909. The next prime is 127139744947. The reversal of 127139744940 is 49447931721.

It is not an unprimeable number, because it can be changed into a prime (127139744947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 531965341 + ... + 531965579.

It is an arithmetic number, because the mean of its divisors is an integer number (1037232000).

Almost surely, 2127139744940 is an apocalyptic number.

127139744940 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 127139744940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199148544000).

127139744940 is an abundant number, since it is smaller than the sum of its proper divisors (271157343060).

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

127139744940 is a wasteful number, since it uses less digits than its factorization.

127139744940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 127139744940 in words is "one hundred twenty-seven billion, one hundred thirty-nine million, seven hundred forty-four thousand, nine hundred forty".