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127340130304 = 2122953113179
BaseRepresentation
bin111011010011000010…
…0000011000000000000
3110011200112220212100101
41312212010003000000
54041243033132204
6134255500532144
712125415151132
oct1664604030000
9404615825311
10127340130304
114a006202712
1220819b51054
13c014acc03a
146240121052
1534a45a8ea4
hex1da6103000

127340130304 has 208 divisors, whose sum is σ = 272288498400. Its totient is φ = 59446919168.

The previous prime is 127340130293. The next prime is 127340130349. The reversal of 127340130304 is 403031043721.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 711397287 + ... + 711397465.

Almost surely, 2127340130304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127340130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136144249200).

127340130304 is an abundant number, since it is smaller than the sum of its proper divisors (144948368096).

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

127340130304 is a wasteful number, since it uses less digits than its factorization.

127340130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The spelling of 127340130304 in words is "one hundred twenty-seven billion, three hundred forty million, one hundred thirty thousand, three hundred four".