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127943306940 = 2235194712791867
BaseRepresentation
bin111011100101000000…
…0111110111010111100
3110020020120220102010210
41313022000332322330
54044011441310230
6134435405032420
712146361110451
oct1671200767274
9406216812123
10127943306940
114a2957301a9
1220967b55710
13c0aca6a7a7
14629a293828
1534dc502eb0
hex1dca03eebc

127943306940 has 192 divisors, whose sum is σ = 385626931200. Its totient is φ = 31593141504.

The previous prime is 127943306929. The next prime is 127943306947. The reversal of 127943306940 is 49603349721.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 127943306940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127943306947) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68527887 + ... + 68529753.

It is an arithmetic number, because the mean of its divisors is an integer number (2008473600).

Almost surely, 2127943306940 is an apocalyptic number.

127943306940 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 127943306940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192813465600).

127943306940 is an abundant number, since it is smaller than the sum of its proper divisors (257683624260).

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

127943306940 is a wasteful number, since it uses less digits than its factorization.

127943306940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3224 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 127943306940 in words is "one hundred twenty-seven billion, nine hundred forty-three million, three hundred six thousand, nine hundred forty".