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2142431214 = 2372111993329
BaseRepresentation
bin111111110110010…
…1110011111101110
312112022100210010020
41333230232133232
513341430244324
6552331423010
7104043236100
oct17754563756
95468323106
102142431214
119aa38a310
124b95b4a66
13281b261a1
14164773570
15c8149679
hex7fb2e7ee

2142431214 has 96 divisors (see below), whose sum is σ = 5466528000. Its totient is φ = 553512960.

The previous prime is 2142431191. The next prime is 2142431237. The reversal of 2142431214 is 4121342412.

It is an interprime number because it is at equal distance from previous prime (2142431191) and next prime (2142431237).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 641902 + ... + 645230.

It is an arithmetic number, because the mean of its divisors is an integer number (56943000).

Almost surely, 22142431214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142431214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733264000).

2142431214 is an abundant number, since it is smaller than the sum of its proper divisors (3324096786).

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

2142431214 is a wasteful number, since it uses less digits than its factorization.

2142431214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3558 (or 3551 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 2142431214 is about 46286.4042025301. The cubic root of 2142431214 is about 1289.1465648902.

Adding to 2142431214 its reverse (4121342412), we get a palindrome (6263773626).

The spelling of 2142431214 in words is "two billion, one hundred forty-two million, four hundred thirty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 199 231 294 398 462 539 597 1078 1194 1393 1617 2189 2786 3234 3329 4179 4378 6567 6658 8358 9751 9987 13134 15323 19502 19974 23303 29253 30646 36619 45969 46606 58506 69909 73238 91938 107261 109857 139818 163121 214522 219714 256333 321783 326242 489363 512666 643566 662471 768999 978726 1324942 1537998 1794331 1987413 3588662 3974826 4637297 5382993 7287181 9274594 10765986 13911891 14574362 21861543 27823782 32461079 43723086 51010267 64922158 97383237 102020534 153030801 194766474 306061602 357071869 714143738 1071215607 2142431214