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116221343940 = 22335133163601
BaseRepresentation
bin110110000111101010…
…1001111100011000100
3102002222122221222212000
41230033111033203010
53401010131001230
6125220310425300
711253034060302
oct1541725174304
9362878858760
10116221343940
114531aa11979
121a636362230
13ac623b4000
1458a756d272
1530533a3b60
hex1b0f54f8c4

116221343940 has 384 divisors, whose sum is σ = 394754035200. Its totient is φ = 28385510400.

The previous prime is 116221343923. The next prime is 116221343951. The reversal of 116221343940 is 49343122611.

116221343940 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 213 + 439 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 116221343895 and 116221343904.

It is an unprimeable number.

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, 193379640 + ... + 193380240.

It is an arithmetic number, because the mean of its divisors is an integer number (1028005300).

Almost surely, 2116221343940 is an apocalyptic number.

116221343940 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 116221343940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197377017600).

116221343940 is an abundant number, since it is smaller than the sum of its proper divisors (278532691260).

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

116221343940 is a wasteful number, since it uses less digits than its factorization.

116221343940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 116221343940 in words is "one hundred sixteen billion, two hundred twenty-one million, three hundred forty-three thousand, nine hundred forty".