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3001414014 = 23615113633
BaseRepresentation
bin1011001011100101…
…1111000101111110
321202011200122000000
42302321133011332
522121330222024
61213454415130
7134243412114
oct26271370576
97664618000
103001414014
111300246855
126b92014a6
1338aa8b031
14206893ab4
15128772cc9
hexb2e5f17e

3001414014 has 56 divisors (see below), whose sum is σ = 6795294672. Its totient is φ = 993772800.

The previous prime is 3001414007. The next prime is 3001414019. The reversal of 3001414014 is 4104141003.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001414019) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 213342 + ... + 226974.

Almost surely, 23001414014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3001414014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397647336).

3001414014 is an abundant number, since it is smaller than the sum of its proper divisors (3793880658).

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

3001414014 is a wasteful number, since it uses less digits than its factorization.

3001414014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13804 (or 13789 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3001414014 is about 54785.1623525932. The cubic root of 3001414014 is about 1442.4761303917.

Adding to 3001414014 its reverse (4104141003), we get a palindrome (7105555017).

The spelling of 3001414014 in words is "three billion, one million, four hundred fourteen thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 151 162 243 302 453 486 729 906 1359 1458 2718 4077 8154 12231 13633 24462 27266 36693 40899 73386 81798 110079 122697 220158 245394 368091 736182 1104273 2058583 2208546 3312819 4117166 6175749 6625638 9938457 12351498 18527247 19876914 37054494 55581741 111163482 166745223 333490446 500235669 1000471338 1500707007 3001414014