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2042014014 = 2322343251457
BaseRepresentation
bin111100110110110…
…1010100100111110
312021022102001121200
41321231222210332
513140223422024
6534343240330
7101413555425
oct17155524476
95238361550
102042014014
11958733397
1248ba490a6
13267097821
141552b42bc
15be4112c9
hex79b6a93e

2042014014 has 96 divisors (see below), whose sum is σ = 4753292544. Its totient is φ = 632016000.

The previous prime is 2042014003. The next prime is 2042014019. The reversal of 2042014014 is 4104102402.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042014019) 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 47 ways as a sum of consecutive naturals, for example, 4468074 + ... + 4468530.

It is an arithmetic number, because the mean of its divisors is an integer number (49513464).

Almost surely, 22042014014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042014014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376646272).

2042014014 is an abundant number, since it is smaller than the sum of its proper divisors (2711278530).

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

2042014014 is a wasteful number, since it uses less digits than its factorization.

2042014014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2042014014 is about 45188.6491721096. The cubic root of 2042014014 is about 1268.6823736949.

Adding to 2042014014 its reverse (4104102402), we get a palindrome (6146116416).

The spelling of 2042014014 in words is "two billion, forty-two million, fourteen thousand, fourteen".

Divisors: 1 2 3 6 9 18 23 43 46 69 86 129 138 207 251 258 387 414 457 502 753 774 914 989 1371 1506 1978 2259 2742 2967 4113 4518 5773 5934 8226 8901 10511 10793 11546 17319 17802 19651 21022 21586 31533 32379 34638 39302 51957 58953 63066 64758 94599 97137 103914 114707 117906 176859 189198 194274 229414 248239 344121 353718 451973 496478 688242 744717 903946 1032363 1355919 1489434 2064726 2234151 2638261 2711838 4067757 4468302 4932401 5276522 7914783 8135514 9864802 14797203 15829566 23744349 29594406 44391609 47488698 88783218 113445223 226890446 340335669 680671338 1021007007 2042014014