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4232314520 = 2357292332237
BaseRepresentation
bin1111110001000011…
…1111111010011000
3101220221211212001122
43330100333322120
532131433031040
61535545104412
7206611036250
oct37420777230
911827755048
104232314520
1118820385a5
129a1488108
13525ab1325
142c2148960
1519b8641b5
hexfc43fe98

4232314520 has 128 divisors (see below), whose sum is σ = 11311747200. Its totient is φ = 1394405376.

The previous prime is 4232314519. The next prime is 4232314529. The reversal of 4232314520 is 254132324.

It is a self number, because there is not a number n which added to its sum of digits gives 4232314520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4232314529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1890842 + ... + 1893078.

It is an arithmetic number, because the mean of its divisors is an integer number (88373025).

Almost surely, 24232314520 is an apocalyptic number.

4232314520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4232314520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5655873600).

4232314520 is an abundant number, since it is smaller than the sum of its proper divisors (7079432680).

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

4232314520 is a wasteful number, since it uses less digits than its factorization.

4232314520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 4232314520 is about 65056.2412071279. The cubic root of 4232314520 is about 1617.5559498000. Note that the first 3 decimals are identical.

Adding to 4232314520 its reverse (254132324), we get a palindrome (4486446844).

The spelling of 4232314520 in words is "four billion, two hundred thirty-two million, three hundred fourteen thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 233 280 290 406 466 580 812 932 1015 1160 1165 1624 1631 1864 2030 2237 2330 3262 4060 4474 4660 6524 6757 8120 8155 8948 9320 11185 13048 13514 15659 16310 17896 22370 27028 31318 32620 33785 44740 47299 54056 62636 64873 65240 67570 78295 89480 94598 125272 129746 135140 156590 189196 236495 259492 270280 313180 324365 378392 454111 472990 518984 521221 626360 648730 908222 945980 1042442 1297460 1816444 1891960 2084884 2270555 2594920 2606105 3632888 3648547 4169768 4541110 5212210 7297094 9082220 10424420 14594188 15115409 18164440 18242735 20848840 29188376 30230818 36485470 60461636 72970940 75577045 105807863 120923272 145941880 151154090 211615726 302308180 423231452 529039315 604616360 846462904 1058078630 2116157260 4232314520