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2114140314 = 2311213217231
BaseRepresentation
bin111111000000011…
…0011100010011010
312110100010110022010
41332000303202122
513312204442224
6545441210350
7103250616246
oct17600634232
95410113263
102114140314
11995416a00
124b00309b6
13278ccc100
14160acb426
15c590be29
hex7e03389a

2114140314 has 72 divisors (see below), whose sum is σ = 5032915776. Its totient is φ = 591333600.

The previous prime is 2114140307. The next prime is 2114140321. The reversal of 2114140314 is 4130414112.

It is an interprime number because it is at equal distance from previous prime (2114140307) and next prime (2114140321).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 114079 + ... + 131309.

It is an arithmetic number, because the mean of its divisors is an integer number (69901608).

Almost surely, 22114140314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114140314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516457888).

2114140314 is an abundant number, since it is smaller than the sum of its proper divisors (2918775462).

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

2114140314 is a wasteful number, since it uses less digits than its factorization.

2114140314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17284 (or 17260 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2114140314 is about 45979.7815784286. The cubic root of 2114140314 is about 1283.4469903873.

Adding to 2114140314 its reverse (4130414112), we get a palindrome (6244554426).

The spelling of 2114140314 in words is "two billion, one hundred fourteen million, one hundred forty thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 143 169 242 286 338 363 429 507 726 858 1014 1573 1859 3146 3718 4719 5577 9438 11154 17231 20449 34462 40898 51693 61347 103386 122694 189541 224003 379082 448006 568623 672009 1137246 1344018 2084951 2464033 2912039 4169902 4928066 5824078 6254853 7392099 8736117 12509706 14784198 17472234 27104363 32032429 54208726 64064858 81313089 96097287 162626178 192194574 352356719 704713438 1057070157 2114140314