993317149237920
993,317,149,237,920 is an even composite number composed of eight prime numbers multiplied together.
What does the number 993317149237920 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
993317149237920 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 993317149237920:
25 × 3 × 5 × 132 × 79 × 139 × 1051 × 1061
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 13 × 79 × 139 × 1051 × 1061)See below for interesting mathematical facts about the number 993317149237920 from the Numbermatics database.
Names of 993317149237920
- Cardinal: 993317149237920 can be written as Nine hundred ninety-three trillion, three hundred seventeen billion, one hundred forty-nine million, two hundred thirty-seven thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 9.9331714923792 × 1014
Factors of 993317149237920
Divisors of 993317149237920
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 79 80 96 104 120 130 139 156 158 160 169 195 208 237 240 260 278 312 316 338 390 395 416 417 474 480 507 520 556 624 632 676 695 780 790 834 845 948 1014 1027 1040 1051 1061 1112 1185 1248 1264 1352 1390 1560 1580 1668 1690 1807 1896 2028 2054 2080 2085 2102 2122 2224 2370 2528 2535 2704 2780 3081 3120 3153 3160 3183 3336 3380 3614 3792 4056 4108 4170 4204 4244 4448 4740 5070 5135 5255 5305 5408 5421 5560 6162 6240 6306 6320 6366 6672 6760 7228 7584 8112 8216 8340 8408 8488 9035 9480 10140 10270 10510 10610 10842 10981 11120 12324 12612 12640 12732 13344 13351 13520 13663 13793 14456 15405 15765 15915 16224 16432 16680 16816 16976 18070 18960 20280 20540 21020 21220 21684 21962 22240 23491 24648 25224 25464 26702 27040 27105 27326 27586 28912 30810 31530 31830 32864 32943 33360 33632 33952 36140 37920 40053 40560 40989 41080 41379 42040 42440 43368 43924 46982 49296 50448 50928 53404 54210 54652 54905 55172 57824 61620 63060 63660 65886 66720 66755 68315 68965 70473 72280 80106 81120 81978 82160 82758 83029 83819 84080 84880 86736 87848 93964 98592 100896 101856 106808 108420 109304 109810 110344 117455 123240 126120 127320 131772 133510 136630 137930 140946 142753 144560 146089 147479 160212 163956 164320 164715 165516 166058 167638 168160 169760 173472 175696 177619 179309 187928 200265 204945 206895 213616 216840 218608 219620 220688 234910 246480 249087 251457 252240 254640 263544 267020 273260 275860 281892 285506 289120 292178 294958 320424 327912 329430 331032 332116 335276 351392 352365 355238 358618 375856 400530 409890 413790 415145 419095 427232 428259 433680 437216 438267 439240 441376 442437 469820 492960 498174 502914 504480 509280 527088 532857 534040 537927 546520 551720 563784 571012 584356 589916 640848 655824 658860 662064 664232 670552 704730 710476 713765 717236 730445 737395 751712 801060 819780 827580 830290 838190 856518 867360 876534 878480 884874 888095 896545 939640 996348 1005828 1054176 1065714 1068080 1075854 1079377 1089647 1093040 1103440 1115111 1127568 1142024 1168712 1179832 1245435 1257285 1281696 1311648 1317720 1324128 1328464 1341104 1409460 1420952 1427530 1434472 1460890 1474790 1602120 1639560 1655160 1660580 1676380 1713036 1753068 1756960 1769748 1776190 1793090 1855789 1879280 1899157 1917227 1992696 2011656 2131428 2136160 2141295 2151708 2158754 2179294 2186080 2191335 2206880 2212185 2230222 2255136 2284048 2337424 2359664 2490870 2514570 2635440 2656928 2664285 2682208 2689635 2818920 2841904 2855060 2868944 2921780 2949580 3204240 3238131 3268941 3279120 3310320 3321160 3345333 3352760 3426072 3506136 3539496 3552380 3586180 3711578 3758560 3798314 3834454 3985392 4023312 4262856 4282590 4303416 4317508 4358588 4382670 4424370 4460444 4568096 4674848 4719328 4981740 5029140 5270880 5328570 5379270 5396885 5448235 5567367 5575555 5637840 5683808 5697471 5710120 5737888 5751681 5843560 5899160 6408480 6476262 6537882 6558240 6620640 6642320 6690666 6705520 6852144 7012272 7078992 7104760 7172360 7423156 7596628 7668908 7970784 8046624 8525712 8565180 8606832 8635016 8717176 8765340 8848740 8920888 9278945 9495785 9586135 9963480 10058280 10657140 10758540 10793770 10896470 11134734 11151110 11275680 11394942 11420240 11503362 11541031 11650841 11687120 11798320 12952524 13075764 13284640 13381332 13411040 13704288 14024544 14031901 14157984 14165411 14209520 14344720 14496443 14846312 15193256 15337816 16190655 16344705 16726665 17051424 17130360 17213664 17270032 17434352 17530680 17697480 17841776 18557890 18991570 19172270 19926960 20116560 21314280 21517080 21587540 21792940 22269468 22302220 22789884 22840480 23006724 23082062 23301682 23374240 23596640 24689041 24923951 25905048 26151528 26762664 27836835 28063802 28330822 28419040 28487355 28689440 28758405 28992886 29692624 30386512 30675632 32381310 32689410 33453330 34260720 34540064 34623093 34868704 34952523 35061360 35394960 35683552 37115780 37983140 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911595360 920268960 923282480 930002574 932067280 942268795 987561640 996958040 1057125228 1107938976 1118480736 1122552080 1130722554 1133232880 1145218997 1159715440 1185073968 1196349648 1200267224 1211687464 1240003432 1321406535 1347062496 1359879456 1384923720 1391658528 1398100920 1409500304 1481342460 1495437060 1500334030 1507630072 1514609330 1550004290 1683828120 1699849320 1739573160 1761875380 1800400836 1817531196 1846564960 1860005148 1864134560 1884537590 1950434239 1968992129 1975123280 1993916080 2015005577 2114250456 2245104160 2250501045 2261445108 2266465760 2271913995 2290437994 2319430880 2325006435 2370147936 2392699296 2400534448 2423374928 2480006864 2642813070 2769847440 2796201840 2819000608 2826806385 2962684920 2990874120 3000668060 3015260144 3029218660 3100008580 3367656240 3399698640 3435656991 3479146320 3523750760 3600801672 3635062392 3720010296 3769075180 3900868478 3937984258 3950246560 3987832160 4030011154 4228500912 4501002090 4522890216 4543827990 4580875988 4650012870 4801068896 4846749856 4960013728 5285626140 5539694880 5592403680 5653612770 5726094985 5851302717 5906976387 5925369840 5981748240 6001336120 6030520288 6045016731 6058437320 6200017160 6735312480 6799397280 6871313982 6958292640 7047501520 7201603344 7270124784 7440020592 7538150360 7801736956 7875968516 8060022308 8457001824 9002004180 9045780432 9087655980 9161751976 9300025740 9752171195 9844960645 10075027885 10571252280 11307225540 11452189970 11702605434 11813952774 11850739680 11963496480 12002672240 12090033462 12116874640 12245033891 12400034320 13742627964 14095003040 14403206688 14540249568 14880041184 14887846961 15076300720 15603473912 15751937032 16120044616 17178284955 18004008360 18091560864 18175311960 18323503952 18600051480 19504342390 19689921290 20150055770 21142504560 22614451080 22904379940 23405210868 23627905548 24005344480 24180066924 24233749280 24490067782 24800068640 26195072501 27485255928 29256513585 29534881935 29775693922 30152601440 30225083655 31206947824 31503874064 32240089232 34356569910 36008016720 36350623920 36647007904 36735101673 37200102960 39008684780 39379842580 40300111540 42285009120 44663540883 45228902160 45808759880 46810421736 47255811096 48360133848 48980135564 52390145002 54970511856 58513027170 59069763870 59551387844 60450167310 61225169455 62413895648 63007748128 64480178464 68713139820 72016033440 72701247840 73470203346 74400205920 74439234805 78017369560 78585217503 78759685160 80600223080 89327081766 90457804320 91617519760 93620843472 94511622192 96720267696 97960271128 104780290004 109941023712 117026054340 118139527740 119102775688 120900334620 122450338910 130975362505 137426279640 146940406692 148878469610 156034739120 157170435006 157519370320 159185440583 161200446160 178654163532 183235039520 183675508365 187241686944 189023244384 193440535392 195920542256 209560580008 223317704415 234052108680 236279055480 238205551376 241800669240 244900677820 261950725010 274852559280 293880813384 297756939220 312069478240 314340870012 315038740640 318370881166 322400892320 357308327064 367351016730 391841084512 392926087515 419121160016 446635408830 468104217360 472558110960 476411102752 477556321749 483601338480 489801355640 523901450020 549705118560 587761626768 595513878440 628681740024 636741762332 714616654128 734702033460 785852175030 795927202915 838242320032 893270817660 936208434720 945116221920 955112643498 967202676960 979602711280 1047802900040 1175523253536 1191027756880 1257363480048 1273483524664 1429233308256 1469404066920 1571704350060 1591854405830 1786541635320 1910225286996 1959205422560 2069410727579 2095605800080 2382055513760 2387781608745 2514726960096 2546967049328 2938808133840 3143408700120 3183708811660 3573083270640 3820450573992 4138821455158 4191211600160 4775563217490 5093934098656 5877616267680 6208232182737 6286817400240 6367417623320 7146166541280 7640901147984 8277642910316 9551126434980 10347053637895 12416464365474 12573634800480 12734835246640 15281802295968 16555285820632 19102252869960 20694107275790 24832928730948 25469670493280 31041160913685 33110571641264 38204505739920 41388214551580 49665857461896 62082321827370 66221143282528 76409011479840 82776429103160 99331714923792 124164643654740 165552858206320 198663429847584 248329287309480 331105716412640 496658574618960 993317149237920
- Sum of all divisors σ(n): 3462271813324800
- Sum of proper divisors (its aliquot sum) s(n): 2468954664086880
- 993317149237920 is an abundant number, because the sum of its proper divisors (2468954664086880) is greater than itself. Its abundance is 1475637514848960
Bases of 993317149237920
- Binary: 111000011101101010101010111101010001100010101000002
- Hexadecimal: 0x3876AABD462A0
- Base-36: 9S3NLJYTUO
Squares and roots of 993317149237920
- 993317149237920 squared (9933171492379202) is 986678958970148233236765926400
- 993317149237920 cubed (9933171492379203) is 980085130737266277064309039643683182809088000
-
The
square root of 993317149237920 is 31516934.3248660529 -
The
cube root of 993317149237920 is 99776.7402296255
Scales and comparisons
How big is 993317149237920?- 993,317,149,237,920 seconds is equal to 31,584,412 years, 42 weeks, 2 days, 7 hours, 52 minutes.
-
To count from 1 to 993,317,149,237,920 would take you about seventy-eight million, nine hundred sixty-one thousand and thirty-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 993317149237920 cubic inches would be around 8314.7 feet tall.
Recreational maths with 993317149237920
- 993317149237920 backwards is 029732941713399
- The number of decimal digits it has is: 15
- The sum of 993317149237920's digits is 69
- More coming soon!
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The information we have on file for 993317149237920 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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