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941109312 = 2631113151227
BaseRepresentation
bin111000000110000…
…011000001000000
32102120212022021110
4320012003001000
53411410444222
6233215123320
732215203633
oct7006030100
92376768243
10941109312
114432603a0
12223213540
1311cc8b120
148cdbbc1a
155794c30c
hex38183040

941109312 has 224 divisors, whose sum is σ = 2957681664. Its totient is φ = 260352000.

The previous prime is 941109293. The next prime is 941109317. The reversal of 941109312 is 213901149.

It is a super-2 number, since 2×9411093122 = 1771373474266226688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 941109312.

It is not an unprimeable number, because it can be changed into a prime (941109317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4145743 + ... + 4145969.

It is an arithmetic number, because the mean of its divisors is an integer number (13203936).

Almost surely, 2941109312 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 941109312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478840832).

941109312 is an abundant number, since it is smaller than the sum of its proper divisors (2016572352).

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

941109312 is a wasteful number, since it uses less digits than its factorization.

941109312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 941109312 is about 30677.5049832935. The cubic root of 941109312 is about 979.9713000064.

The spelling of 941109312 in words is "nine hundred forty-one million, one hundred nine thousand, three hundred twelve".