328681971072
328,681,971,072 is an even composite number composed of six prime numbers multiplied together.
What does the number 328681971072 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
328681971072 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 328681971072:
27 × 35 × 72 × 13 × 53 × 313
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 13 × 53 × 313)See below for interesting mathematical facts about the number 328681971072 from the Numbermatics database.
Names of 328681971072
- Cardinal: 328681971072 can be written as Three hundred twenty-eight billion, six hundred eighty-one million, nine hundred seventy-one thousand and seventy-two.
Scientific notation
- Scientific notation: 3.28681971072 × 1011
Factors of 328681971072
Divisors of 328681971072
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 49 52 53 54 56 63 64 72 78 81 84 91 96 98 104 106 108 112 117 126 128 144 147 156 159 162 168 182 189 192 196 208 212 216 224 234 243 252 273 288 294 312 313 318 324 336 351 364 371 378 384 392 416 424 432 441 448 468 477 486 504 546 567 576 588 624 626 636 637 648 672 689 702 728 742 756 784 819 832 848 864 882 896 936 939 954 972 1008 1053 1092 1113 1134 1152 1176 1248 1252 1272 1274 1296 1323 1344 1378 1404 1431 1456 1484 1512 1568 1638 1664 1696 1701 1728 1764 1872 1878 1908 1911 1944 2016 2067 2106 2184 2191 2226 2268 2352 2457 2496 2504 2544 2548 2592 2597 2646 2688 2756 2808 2817 2862 2912 2968 3024 3136 3159 3276 3339 3392 3402 3456 3528 3744 3756 3816 3822 3888 3969 4032 4069 4134 4212 4293 4368 4382 4452 4536 4704 4823 4914 4992 5008 5088 5096 5184 5194 5292 5512 5616 5634 5724 5733 5824 5936 6048 6201 6272 6318 6552 6573 6678 6784 6804 7056 7371 7488 7512 7632 7644 7776 7791 7938 8064 8138 8268 8424 8451 8586 8736 8764 8904 9072 9408 9646 9828 10016 10017 10176 10192 10368 10388 10584 11024 11232 11268 11448 11466 11648 11872 11907 12096 12207 12402 12636 12879 13104 13146 13356 13608 14112 14469 14742 14976 15024 15264 15288 15337 15552 15582 15876 16276 16536 16589 16848 16902 17172 17199 17472 17528 17808 18144 18603 18816 19292 19656 19719 20032 20034 20352 20384 20776 21168 22048 22113 22464 22536 22896 22932 23373 23744 23814 24192 24414 24804 25272 25353 25758 26208 26292 26712 27216 28224 28483 28938 29484 30048 30051 30528 30576 30674 31104 31164 31752 32552 33072 33178 33696 33761 33804 34344 34398 34944 35056 35616 36288 36621 37206 38584 39312 39438 40064 40068 40768 41552 42336 43407 44096 44226 44928 45072 45792 45864 46011 46746 47488 47628 48828 49608 49767 50544 50706 51516 51597 52416 52584 53424 54432 55809 56448 56966 57876 58968 59157 60096 60102 61056 61152 61348 62328 63504 65104 66144 66356 67392 67522 67608 68688 68796 70112 70119 71232 72576 73242 74412 76059 77168 78624 78876 80136 81536 83104 84672 85449 86814 88192 88452 90144 90153 91584 91728 92022 93492 95256 97656 99216 99534 101088 101283 101412 103032 103194 104832 105168 106848 108864 109863 111618 113932 115752 116123 117936 118314 120192 120204 122304 122696 124656 127008 130208 130221 132288 132712 134784 135044 135216 137376 137592 138033 140224 140238 142464 146484 148824 149301 152118 154336 154791 157248 157752 160272 166208 167427 169344 170898 173628 176904 177471 180288 180306 183168 183456 184044 186984 190512 195312 198432 199068 199381 202176 202566 202824 206064 206388 210336 210357 213696 215657 217728 219726 223236 227864 231504 232246 235872 236628 240408 244608 245392 249312 254016 256347 260416 260442 264576 265424 270088 270432 274752 275184 276066 280448 280476 292968 297648 298602 303849 304236 308672 309582 314496 315504 320544 329589 332416 334854 341796 347256 348369 353808 354942 360576 360612 366912 368088 373968 381024 390624 390663 396864 398136 398762 404352 405132 405648 412128 412776 414099 420672 420714 427392 431314 439452 446472 447903 455728 463008 464492 471744 473256 480816 490784 498624 508032 512694 520832 520884 530848 532413 540176 540864 549504 550368 552132 560952 585936 595296 597204 598143 607698 608472 617344 619164 631008 631071 641088 646971 659178 669708 683592 694512 696738 707616 709884 721224 733824 736176 747936 762048 769041 781248 781326 793728 796272 797524 810264 811296 812861 824256 825552 828198 841344 841428 862628 878904 892944 895806 911456 911547 926016 928984 943488 946512 961632 981568 988767 997248 1025388 1041768 1045107 1061696 1064826 1080352 1081728 1100736 1104264 1121904 1171872 1171989 1190592 1194408 1196286 1215396 1216944 1238328 1242297 1262016 1262142 1282176 1293942 1318356 1339416 1343709 1367184 1389024 1393476 1415232 1419768 1442448 1472352 1495872 1509599 1524096 1538082 1562496 1562652 1592544 1595048 1620528 1622592 1625722 1648512 1651104 1656396 1682856 1725256 1757808 1785888 1791612 1794429 1822912 1823094 1852032 1857968 1893024 1923264 1940913 1963136 1977534 2050776 2083536 2090214 2123392 2129652 2160704 2201472 2208528 2243808 2307123 2343744 2343978 2381184 2388816 2392572 2430792 2433888 2438583 2476656 2484594 2524032 2524284 2587884 2636712 2678832 2687418 2734368 2734641 2778048 2786952 2830464 2839536 2884896 2944704 2991744 3019198 3076164 3125304 3135321 3185088 3190096 3241056 3245184 3251444 3302208 3312792 3365712 3450512 3515616 3571776 3583224 3588858 3645824 3646188 3715936 3726891 3786048 3846528 3881826 3955068 4031127 4101552 4167072 4180428 4259304 4321408 4417056 4487616 4528797 4614246 4687488 4687956 4777632 4785144 4861584 4867776 4877166 4953312 4969188 5048568 5175768 5273424 5357664 5374836 5383287 5468736 5469282 5556096 5573904 5679072 5769792 5822739 5889408 6038396 6152328 6250608 6270642 6370176 6380192 6482112 6502888 6604416 6625584 6731424 6901024 6921369 7031232 7143552 7166448 7177716 7292376 7315749 7431872 7453782 7572096 7763652 7910136 8062254 8203104 8203923 8334144 8360856 8518608 8834112 8975232 9057594 9228492 9375912 9405963 9555264 9570288 9723168 9735552 9754332 9906624 9938376 10097136 10351536 10546848 10567193 10715328 10749672 10766574 10937472 10938564 11147808 11358144 11539584 11645478 12076792 12304656 12501216 12541284 12760384 12964224 13005776 13251168 13462848 13586391 13802048 13842738 14062464 14332896 14355432 14584752 14631498 14863744 14907564 15527304 15820272 16124508 16149861 16406208 16407846 16668288 16721712 17037216 17468217 17668224 18115188 18456984 18751824 18811926 19110528 19140576 19446336 19508664 19813248 19876752 20194272 20703072 21093696 21134386 21430656 21499344 21533148 21877128 21947247 22295616 22716288 23290956 24153584 24609312 25002432 25082568 25520768 26011552 26502336 26925696 27172782 27604096 27685476 28217889 28665792 28710864 29169504 29262996 29815128 31054608 31640544 31701579 32249016 32299722 32812416 32815692 33443424 34074432 34936434 36230376 36913968 37503648 37623852 38281152 38892672 39017328 39753504 40388544 40759173 41406144 42187392 42268772 42998688 43066296 43754256 43894494 44591232 46581912 48307168 48449583 49218624 50004864 50165136 52023104 52404651 53004672 54345564 55370952 56435778 57331584 57421728 58339008 58525992 59630256 62109216 63281088 63403158 64498032 64599444 65631384 65841741 66886848 68148864 69872868 72460752 73827936 75007296 75247704 76562304 78034656 79507008 80777088 81518346 82812288 84537544 85997376 86132592 87508512 87788988 93163824 95104737 96614336 96899166 98437248 100330272 104046208 104809302 108691128 110741904 112871556 114843456 116678016 117051984 119260512 122277519 124218432 126562176 126806316 128996064 129198888 131262768 131683482 133773696 139745736 144921504 147655872 150014592 150495408 156069312 159014016 163036692 169075088 171994752 172265184 175017024 175577976 186327648 190209474 193228672 193798332 197525223 200660544 209618604 217382256 221483808 225743112 229686912 234103968 238521024 244555038 248436864 253612632 257992128 258397776 262525536 263366964 279491472 285314211 289843008 295311744 300990816 312138624 326073384 338150176 344530368 350034048 351155952 366832557 372655296 380418948 387596664 395050446 401321088 419237208 434764512 442967616 451486224 468207936 477042048 489110076 507225264 515984256 516795552 525051072 526733928 558982944 570628422 579686016 601981632 652146768 676300352 689060736 702311904 733665114 745310592 760837896 775193328 790100892 838474416 855942633 869529024 885935232 902972448 936415872 978220152 1014450528 1033591104 1050102144 1053467856 1117965888 1141256844 1203963264 1304293536 1352600704 1404623808 1467330228 1521675792 1550386656 1580201784 1676948832 1711885266 1739058048 1805944896 1956440304 2028901056 2067182208 2106935712 2235931776 2282513688 2567827899 2608587072 2809247616 2934660456 3043351584 3100773312 3160403568 3353897664 3423770532 3611889792 3912880608 4057802112 4213871424 4565027376 5135655798 5217174144 5869320912 6086703168 6201546624 6320807136 6707795328 6847541064 7825761216 8427742848 9130054752 10271311596 11738641824 12173406336 12641614272 13695082128 15651522432 18260109504 20542623192 23477283648 25283228544 27390164256 36520219008 41085246384 46954567296 54780328512 82170492768 109560657024 164340985536 328681971072
- Sum of all divisors σ(n): 1255937024160
- Sum of proper divisors (its aliquot sum) s(n): 927255053088
- 328681971072 is an abundant number, because the sum of its proper divisors (927255053088) is greater than itself. Its abundance is 598573082016
Bases of 328681971072
- Binary: 1001100100001101111100011011101100000002
- Hexadecimal: 0x4C86F8DD80
- Base-36: 46ZSRC00
Squares and roots of 328681971072
- 328681971072 squared (3286819710722) is 108031838107775044829184
- 328681971072 cubed (3286819710723) is 35508117487794704502829358669365248
-
The
square root of 328681971072 is 573307.9199452945 -
The
cube root of 328681971072 is 6901.2108151123
Scales and comparisons
How big is 328681971072?- 328,681,971,072 seconds is equal to 10,451 years, 3 weeks, 4 days, 11 hours, 31 minutes, 12 seconds.
-
To count from 1 to 328,681,971,072 would take you about twenty thousand, nine hundred two 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 328681971072 cubic inches would be around 575.1 feet tall.
Recreational maths with 328681971072
- 328681971072 backwards is 270179186823
- 328681971072 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 328681971072's digits is 54
- More coming soon!
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The information we have on file for 328681971072 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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