Search a number
-
+
4322134011720 = 2335717302670449
BaseRepresentation
bin111110111001010011010…
…000110010111101001000
3120022012011221200000200010
4332321103100302331020
51031303212301333340
613105321055511520
7624156336634050
oct76712320627510
916265157600603
104322134011720
111417008a76538
125997a9b285a0
1325476346aaa5
1410d299d48560
1577666919b80
hex3ee53432f48

4322134011720 has 128 divisors (see below), whose sum is σ = 15690436128000. Its totient is φ = 929803616256.

The previous prime is 4322134011719. The next prime is 4322134011779. The reversal of 4322134011720 is 271104312234.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151320945 + ... + 151349504.

It is an arithmetic number, because the mean of its divisors is an integer number (122581532250).

Almost surely, 24322134011720 is an apocalyptic number.

4322134011720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4322134011720 is an abundant number, since it is smaller than the sum of its proper divisors (11368302116280).

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

4322134011720 is a wasteful number, since it uses less digits than its factorization.

4322134011720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302670487 (or 302670483 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

Adding to 4322134011720 its reverse (271104312234), we get a palindrome (4593238323954).

The spelling of 4322134011720 in words is "four trillion, three hundred twenty-two billion, one hundred thirty-four million, eleven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 357 408 420 476 510 595 680 714 840 952 1020 1190 1428 1785 2040 2380 2856 3570 4760 7140 14280 302670449 605340898 908011347 1210681796 1513352245 1816022694 2118693143 2421363592 3026704490 3632045388 4237386286 4540056735 5145397633 6053408980 6356079429 7264090776 8474772572 9080113470 10290795266 10593465715 12106817960 12712158858 15436192899 16949545144 18160226940 20581590532 21186931430 25424317716 25726988165 30872385798 31780397145 36017783431 36320453880 41163181064 42373862860 50848635432 51453976330 61744771596 63560794290 72035566862 77180964495 84747725720 102907952660 108053350293 123489543192 127121588580 144071133724 154361928990 180088917155 205815905320 216106700586 254243177160 288142267448 308723857980 360177834310 432213401172 540266751465 617447715960 720355668620 864426802344 1080533502930 1440711337240 2161067005860 4322134011720