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940197066120 = 2333513307331659
BaseRepresentation
bin11011010111010000001…
…11001011010110001000
310022212210221122121122000
431223220013023112020
5110401010422103440
61555530502031000
7124632650126064
oct15535007132610
93285727577560
10940197066120
1133280a8075a4
12132272118460
136a877609430
1433711c10aa4
15196cb48d730
hexdae81cb588

940197066120 has 512 divisors, whose sum is σ = 3401443584000. Its totient is φ = 229633367040.

The previous prime is 940197066103. The next prime is 940197066121. The reversal of 940197066120 is 21660791049.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (940197066121) 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, 1426702351 + ... + 1426703009.

It is an arithmetic number, because the mean of its divisors is an integer number (6643444500).

Almost surely, 2940197066120 is an apocalyptic number.

940197066120 is a gapful number since it is divisible by the number (90) 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 940197066120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700721792000).

940197066120 is an abundant number, since it is smaller than the sum of its proper divisors (2461246517880).

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

940197066120 is a wasteful number, since it uses less digits than its factorization.

940197066120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 940197066120 in words is "nine hundred forty billion, one hundred ninety-seven million, sixty-six thousand, one hundred twenty".