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4329144316 = 227317313593
BaseRepresentation
bin1000000100000100…
…10111111111111100
3102011201001022120101
410002002113333330
532331230104231
61553324330444
7212165056000
oct40202277774
912151038511
104329144316
111921764222
12a099a3a24
1353cb84b73
142d0d52700
151a50de661
hex102097ffc

4329144316 has 96 divisors (see below), whose sum is σ = 9400406400. Its totient is φ = 1737695232.

The previous prime is 4329144301. The next prime is 4329144349. The reversal of 4329144316 is 6134419234.

It is a congruent number.

It is an unprimeable number.

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, 7300116 + ... + 7300708.

It is an arithmetic number, because the mean of its divisors is an integer number (97920900).

Almost surely, 24329144316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4329144316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700203200).

4329144316 is an abundant number, since it is smaller than the sum of its proper divisors (5071262084).

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

4329144316 is a wasteful number, since it uses less digits than its factorization.

4329144316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 932 counting only the distinct ones).

The product of its digits is 62208, while the sum is 37.

The square root of 4329144316 is about 65796.2332964433. The cubic root of 4329144316 is about 1629.7989032653.

The spelling of 4329144316 in words is "four billion, three hundred twenty-nine million, one hundred forty-four thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 313 343 476 593 626 686 833 1186 1252 1372 1666 2191 2372 3332 4151 4382 5321 5831 8302 8764 10081 10642 11662 15337 16604 20162 21284 23324 29057 30674 37247 40324 58114 61348 70567 74494 107359 116228 141134 148988 185609 203399 214718 260729 282268 371218 406798 429436 493969 521458 742436 813596 987938 1042916 1299263 1825103 1975876 2598526 3155353 3457783 3650206 5197052 6310706 6915566 7300412 9094841 12621412 13831132 18189682 22087471 36379364 44174942 63663887 88349884 127327774 154612297 254655548 309224594 618449188 1082286079 2164572158 4329144316