Search a number
-
+
2013340014 = 232741616389
BaseRepresentation
bin111100000000001…
…0010000101101110
312012022110021021200
41320000102011232
513110403340024
6531440510330
7100615051650
oct17000220556
95168407250
102013340014
11943529174
1248231b3a6
1326116826a
1415156c6d0
15bbb4a2c9
hex7801216e

2013340014 has 96 divisors (see below), whose sum is σ = 5191542720. Its totient is φ = 551923200.

The previous prime is 2013340009. The next prime is 2013340033. The reversal of 2013340014 is 4100433102.

It is a super-3 number, since 3×20133400143 (a number of 29 digits) contains 333 as substring.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311932 + ... + 318320.

It is an arithmetic number, because the mean of its divisors is an integer number (54078570).

Almost surely, 22013340014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013340014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595771360).

2013340014 is an abundant number, since it is smaller than the sum of its proper divisors (3178202706).

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

2013340014 is a wasteful number, since it uses less digits than its factorization.

2013340014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6506 (or 6503 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2013340014 is about 44870.2575655634. The cubic root of 2013340014 is about 1262.7160722098.

Adding to 2013340014 its reverse (4100433102), we get a palindrome (6113773116).

The spelling of 2013340014 in words is "two billion, thirteen million, three hundred forty thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 61 63 82 122 123 126 183 246 287 366 369 427 549 574 738 854 861 1098 1281 1722 2501 2562 2583 3843 5002 5166 6389 7503 7686 12778 15006 17507 19167 22509 35014 38334 44723 45018 52521 57501 89446 105042 115002 134169 157563 261949 268338 315126 389729 402507 523898 779458 785847 805014 1169187 1571694 1833643 2338374 2357541 2728103 3507561 3667286 4715082 5456206 5500929 7015122 8184309 11001858 15978889 16368618 16502787 24552927 31957778 33005574 47936667 49105854 95873334 111852223 143810001 223704446 287620002 335556669 671113338 1006670007 2013340014