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2029414014 = 2355777237
BaseRepresentation
bin111100011110110…
…0110011001111110
312020102200220200000
41320331212121332
513124012222024
6533213215130
7101201506635
oct17075463176
95212626600
102029414014
11951607871
124877914a6
132645a56c4
1415375451c
15bd272cc9
hex78f6667e

2029414014 has 48 divisors (see below), whose sum is σ = 4568451888. Its totient is φ = 675205632.

The previous prime is 2029414007. The next prime is 2029414027. The reversal of 2029414014 is 4104149202.

It is a happy number.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276804 + ... + 284040.

It is an arithmetic number, because the mean of its divisors is an integer number (95176081).

Almost surely, 22029414014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2029414014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284225944).

2029414014 is an abundant number, since it is smaller than the sum of its proper divisors (2539037874).

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

2029414014 is an equidigital number, since it uses as much as digits as its factorization.

2029414014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7831 (or 7819 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2029414014 is about 45049.0179027246. The cubic root of 2029414014 is about 1266.0675712457.

The spelling of 2029414014 in words is "two billion, twenty-nine million, four hundred fourteen thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 577 1154 1731 3462 5193 7237 10386 14474 15579 21711 31158 43422 46737 65133 93474 130266 140211 195399 280422 390798 586197 1172394 1758591 3517182 4175749 8351498 12527247 25054494 37581741 75163482 112745223 225490446 338235669 676471338 1014707007 2029414014