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4199320314 = 233717976737
BaseRepresentation
bin1111101001001100…
…1000101011111010
3101211122202120112000
43322103020223322
532100011222224
61532410001430
7206030430240
oct37223105372
911748676460
104199320314
111865452562
12992416276
1351bccb527
142bb9da790
151989e80c9
hexfa4c8afa

4199320314 has 128 divisors (see below), whose sum is σ = 11410398720. Its totient is φ = 1117421568.

The previous prime is 4199320303. The next prime is 4199320373. The reversal of 4199320314 is 4130239914.

4199320314 is a `hidden beast` number, since 4 + 19 + 9 + 320 + 314 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 619954 + ... + 626690.

It is an arithmetic number, because the mean of its divisors is an integer number (89143740).

Almost surely, 24199320314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4199320314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5705199360).

4199320314 is an abundant number, since it is smaller than the sum of its proper divisors (7211078406).

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

4199320314 is a wasteful number, since it uses less digits than its factorization.

4199320314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6869 (or 6863 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 4199320314 is about 64802.1628805706. The cubic root of 4199320314 is about 1613.3416076100.

The spelling of 4199320314 in words is "four billion, one hundred ninety-nine million, three hundred twenty thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 97 102 119 126 153 189 194 238 291 306 357 378 459 582 679 714 873 918 1071 1358 1649 1746 2037 2142 2619 3213 3298 4074 4947 5238 6111 6426 6737 9894 11543 12222 13474 14841 18333 20211 23086 29682 34629 36666 40422 44523 47159 60633 69258 89046 94318 103887 114529 121266 141477 181899 207774 229058 282954 311661 343587 363798 424431 623322 653489 687174 801703 848862 1030761 1273293 1306978 1603406 1960467 2061522 2405109 2546586 3092283 3920934 4574423 4810218 5881401 6184566 7215327 9148846 11109313 11762802 13723269 14430654 17644203 21645981 22218626 27446538 33327939 35288406 41169807 43291962 66655878 77765191 82339614 99983817 123509421 155530382 199967634 233295573 247018842 299951451 466591146 599902902 699886719 1399773438 2099660157 4199320314