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4212821340 = 2234571317412
BaseRepresentation
bin1111101100011010…
…1000110101011100
3101212121011111110000
43323012220311130
532111440240330
61534011214300
7206253250650
oct37306506534
911777144400
104212821340
111872034032
12996a47390
13521a477c0
142bd712a60
15199cb3560
hexfb1a8d5c

4212821340 has 720 divisors, whose sum is σ = 17652672576. Its totient is φ = 816168960.

The previous prime is 4212821321. The next prime is 4212821351. The reversal of 4212821340 is 431282124.

4212821340 is a `hidden beast` number, since 42 + 1 + 282 + 1 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 102751720 + ... + 102751760.

Almost surely, 24212821340 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 4212821340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8826336288).

4212821340 is an abundant number, since it is smaller than the sum of its proper divisors (13439851236).

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

4212821340 is a wasteful number, since it uses less digits than its factorization.

4212821340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4212821340 is about 64906.2503923929. The cubic root of 4212821340 is about 1615.0687494496.

The spelling of 4212821340 in words is "four billion, two hundred twelve million, eight hundred twenty-one thousand, three hundred forty".