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117905466140 = 225711237313601
BaseRepresentation
bin110110111001110110…
…1101010001100011100
3102021100000221021012022
41231303231222030130
53412432244404030
6130055351155312
711342543632460
oct1556355521434
9367300837168
10117905466140
114600461a900
121aa26375b38
13b170291517
1459c70c04a0
15310116cde5
hex1b73b6a31c

117905466140 has 288 divisors, whose sum is σ = 320996764032. Its totient is φ = 35582976000.

The previous prime is 117905466137. The next prime is 117905466163. The reversal of 117905466140 is 41664509711.

It is a happy number.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 117905466091 and 117905466100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 196181840 + ... + 196182440.

Almost surely, 2117905466140 is an apocalyptic number.

117905466140 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 117905466140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160498382016).

117905466140 is an abundant number, since it is smaller than the sum of its proper divisors (203091297892).

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

117905466140 is a wasteful number, since it uses less digits than its factorization.

117905466140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 117905466140 in words is "one hundred seventeen billion, nine hundred five million, four hundred sixty-six thousand, one hundred forty".