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2014003002 = 2311198811823
BaseRepresentation
bin111100000001011…
…0011111100111010
312012100200221201210
41320002303330322
513111041044002
6531503023550
7100623512604
oct17002637472
95170627653
102014003002
119439412a0
1248259abb6
1326133ac6b
141516a2174
15bbc2b96c
hex780b3f3a

2014003002 has 64 divisors (see below), whose sum is σ = 4633251840. Its totient is φ = 577209600.

The previous prime is 2014002959. The next prime is 2014003007. The reversal of 2014003002 is 2003004102.

It is not an unprimeable number, because it can be changed into a prime (2014003007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1103863 + ... + 1105685.

It is an arithmetic number, because the mean of its divisors is an integer number (72394560).

Almost surely, 22014003002 is an apocalyptic number.

2014003002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014003002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316625920).

2014003002 is an abundant number, since it is smaller than the sum of its proper divisors (2619248838).

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

2014003002 is a wasteful number, since it uses less digits than its factorization.

2014003002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2014003002 is about 44877.6447911430. The cubic root of 2014003002 is about 1262.8546601155.

Adding to 2014003002 its reverse (2003004102), we get a palindrome (4017007104).

It can be divided in two parts, 201400 and 3002, that added together give a palindrome (204402).

The spelling of 2014003002 in words is "two billion, fourteen million, three thousand, two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 881 1254 1762 1823 2643 3646 5286 5469 9691 10938 16739 19382 20053 29073 33478 34637 40106 50217 58146 60159 69274 100434 103911 120318 184129 207822 368258 381007 552387 762014 1104774 1143021 1606063 2286042 3212126 4818189 9636378 17666693 30515197 35333386 53000079 61030394 91545591 106000158 183091182 335667167 671334334 1007001501 2014003002