34138312320
34,138,312,320 is an even composite number composed of seven prime numbers multiplied together.
34138312320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 34138312320:
27 × 3 × 5 × 7 × 19 × 43 × 3109
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 19 × 43 × 3109)See below for interesting mathematical facts about the number 34138312320 from the Numbermatics database.
Names of 34138312320
- Cardinal: 34138312320 can be written as Thirty-four billion, one hundred thirty-eight million, three hundred twelve thousand, three hundred twenty.
Scientific notation
- Scientific notation: 3.413831232 × 1010
Factors of 34138312320
Divisors of 34138312320
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 32 35 38 40 42 43 48 56 57 60 64 70 76 80 84 86 95 96 105 112 114 120 128 129 133 140 152 160 168 172 190 192 210 215 224 228 240 258 266 280 285 301 304 320 336 344 380 384 399 420 430 448 456 480 516 532 560 570 602 608 640 645 665 672 688 760 798 817 840 860 896 903 912 960 1032 1064 1120 1140 1204 1216 1290 1330 1344 1376 1505 1520 1596 1634 1680 1720 1806 1824 1920 1995 2064 2128 2240 2280 2408 2432 2451 2580 2660 2688 2752 3010 3040 3109 3192 3268 3360 3440 3612 3648 3990 4085 4128 4256 4480 4515 4560 4816 4902 5160 5320 5504 5719 6020 6080 6218 6384 6536 6720 6880 7224 7296 7980 8170 8256 8512 9030 9120 9327 9632 9804 10320 10640 11438 12040 12160 12255 12436 12768 13072 13440 13760 14448 15545 15960 16340 16512 17024 17157 18060 18240 18654 19264 19608 20640 21280 21763 22876 24080 24510 24872 25536 26144 27520 28595 28896 31090 31920 32680 34314 36120 36480 37308 38528 39216 41280 42560 43526 45752 46635 48160 49020 49744 51072 52288 57190 57792 59071 62180 63840 65289 65360 68628 72240 74616 78432 82560 85120 85785 87052 91504 93270 96320 98040 99488 104576 108815 114380 115584 118142 124360 127680 130578 130720 133687 137256 144480 149232 156864 171570 174104 177213 183008 186540 192640 196080 198976 217630 228760 236284 248720 255360 261156 261440 267374 274512 288960 295355 298464 313728 326445 343140 348208 354426 366016 373080 392160 397952 401061 413497 435260 457520 472568 497440 522312 522880 534748 549024 577920 590710 596928 652890 668435 686280 696416 708852 732032 746160 784320 802122 826994 870520 886065 915040 935809 945136 994880 1044624 1069496 1098048 1181420 1193856 1240491 1305780 1336870 1372560 1392832 1417704 1492320 1568640 1604244 1653988 1741040 1772130 1830080 1871618 1890272 1989760 2005305 2067485 2089248 2138992 2196096 2362840 2480982 2540053 2611560 2673740 2745120 2785664 2807427 2835408 2984640 3208488 3307976 3482080 3544260 3660160 3743236 3780544 4010610 4134970 4178496 4277984 4679045 4725680 4961964 5080106 5223120 5347480 5490240 5614854 5670816 5969280 6202455 6416976 6615952 6964160 7088520 7486472 7561088 7620159 8021220 8269940 8356992 8555968 9358090 9451360 9923928 10160212 10446240 10694960 10980480 11229708 11341632 12404910 12700265 12833952 13231904 13928320 14037135 14177040 14972944 15240318 16042440 16539880 17111936 17780371 18716180 18902720 19847856 20320424 20892480 21389920 22459416 22683264 24809820 25400530 25667904 26463808 28074270 28354080 29945888 30480636 32084880 33079760 35560742 37432360 37805440 38100795 39695712 40640848 41784960 42779840 44918832 49619640 50801060 51335808 52927616 53341113 56148540 56708160 59891776 60961272 64169760 66159520 71121484 74864720 76201590 79391424 81281696 85559680 88901855 89837664 99239280 101602120 106682226 112297080 113416320 119783552 121922544 128339520 132319040 142242968 149729440 152403180 158782848 162563392 177803710 179675328 198478560 203204240 213364452 224594160 243845088 256679040 264638080 266705565 284485936 299458880 304806360 325126784 355607420 359350656 396957120 406408480 426728904 449188320 487690176 533411130 568971872 598917760 609612720 711214840 793914240 812816960 853457808 898376640 975380352 1066822260 1137943744 1219225440 1422429680 1625633920 1706915616 1796753280 2133644520 2275887488 2438450880 2844859360 3413831232 4267289040 4876901760 5689718720 6827662464 8534578080 11379437440 17069156160 34138312320
- Sum of all divisors σ(n): 133993728000
- Sum of proper divisors (its aliquot sum) s(n): 99855415680
- 34138312320 is an abundant number, because the sum of its proper divisors (99855415680) is greater than itself. Its abundance is 65717103360
Bases of 34138312320
- Binary: 111111100101100110101001110100000002
- Hexadecimal: 0x7F2CD4E80
- Base-36: FOL2IDC
Squares and roots of 34138312320
- 34138312320 squared (341383123202) is 1165424368057863782400
- 34138312320 cubed (341383123203) is 39785621062097985635587719168000
-
The
square root of 34138312320 is 184765.5604272615 -
The
cube root of 34138312320 is 3243.9987816511
Scales and comparisons
How big is 34138312320?- 34,138,312,320 seconds is equal to 1,085 years, 25 weeks, 4 days, 8 hours, 32 minutes.
-
To count from 1 to 34,138,312,320 would take you about two thousand, one hundred seventy years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 34138312320 cubic inches would be around 270.3 feet tall.
Recreational maths with 34138312320
- 34138312320 backwards is 02321383143
- 34138312320 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 34138312320's digits is 30
- More coming soon!
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