968238944975120
968,238,944,975,120 is an even composite number composed of six prime numbers multiplied together.
What does the number 968238944975120 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
968238944975120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 968238944975120:
24 × 5 × 72 × 133 × 172 × 733
(2 × 2 × 2 × 2 × 5 × 7 × 7 × 13 × 13 × 13 × 17 × 17 × 73 × 73 × 73)See below for interesting mathematical facts about the number 968238944975120 from the Numbermatics database.
Names of 968238944975120
- Cardinal: 968238944975120 can be written as Nine hundred sixty-eight trillion, two hundred thirty-eight billion, nine hundred forty-four million, nine hundred seventy-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 9.6823894497512 × 1014
Factors of 968238944975120
Divisors of 968238944975120
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 26 28 34 35 40 49 52 56 65 68 70 73 80 85 91 98 104 112 119 130 136 140 146 169 170 182 196 208 221 238 245 260 272 280 289 292 338 340 364 365 392 442 455 476 490 511 520 560 578 584 595 637 676 680 728 730 784 833 845 884 910 949 952 980 1022 1040 1105 1156 1168 1183 1190 1241 1274 1352 1360 1445 1456 1460 1547 1666 1690 1768 1820 1898 1904 1960 2023 2044 2197 2210 2312 2366 2380 2482 2548 2555 2704 2873 2890 2920 3094 3185 3332 3380 3536 3577 3640 3757 3796 3920 4046 4088 4165 4394 4420 4624 4732 4745 4760 4964 5096 5110 5329 5746 5780 5840 5915 6188 6205 6370 6643 6664 6760 7154 7280 7514 7592 7735 8092 8176 8281 8330 8687 8788 8840 9464 9490 9520 9928 10115 10192 10220 10658 10829 10985 11492 11560 11830 12337 12376 12410 12740 13286 13328 13520 14161 14308 14365 15028 15184 15379 15470 16133 16184 16562 16660 17374 17576 17680 17885 18785 18928 18980 19856 20111 20230 20440 21097 21316 21658 21970 22984 23120 23660 24674 24752 24820 25480 26299 26572 26645 28322 28616 28730 30056 30758 30940 32266 32368 33124 33215 33320 34748 35152 35770 37303 37349 37570 37960 40222 40460 40880 41405 42194 42632 43316 43435 43940 45968 46501 47320 48841 49348 49640 50960 52598 53144 53290 54145 56644 57232 57460 60112 60809 61516 61685 61880 64532 66248 66430 66640 69277 69496 70805 71540 74606 74698 75140 75920 76895 80444 80665 80920 82810 84388 85264 86359 86632 86870 87880 90593 93002 94640 97682 98696 99280 100555 105196 105485 106288 106580 107653 108290 112931 113288 114920 121618 123032 123370 123760 129064 131495 132496 132860 138554 138992 140777 141610 143080 147679 149212 149396 150280 153790 160381 160888 161330 161840 165620 168776 172718 173264 173740 175760 181186 184093 186004 186515 186745 195364 197392 201110 209729 210392 210970 213160 215306 216580 225862 226576 229840 232505 243236 244205 246064 246740 258128 261121 261443 262990 265720 274261 277108 281554 283220 286160 295358 298424 298792 300560 304045 307580 320762 321776 322660 331240 337552 341887 345436 346385 347480 362372 368186 372008 373030 373490 389017 390728 402220 419458 420784 421940 426320 430612 431795 433160 451724 452965 465010 484939 486472 488410 493480 522242 522886 525980 531440 538265 548522 554216 563108 564655 566440 590716 596848 597584 604513 608090 615160 634151 634933 641524 645320 662480 683774 690872 692770 694960 703885 724744 736372 738395 744016 746060 746980 778034 781456 790517 801905 804440 838916 843880 861224 863590 866320 900601 903448 905930 920465 930020 969878 972944 976820 986960 1033753 1044484 1045772 1048645 1051960 1076530 1097044 1108432 1122667 1126216 1129310 1132880 1177709 1181432 1209026 1216180 1230320 1268302 1269866 1283048 1290640 1305605 1307215 1367548 1371305 1381744 1385540 1407770 1449488 1468103 1472744 1476790 1492120 1493960 1540081 1556068 1581034 1603810 1608880 1677832 1687760 1709435 1722448 1727180 1801202 1806896 1811860 1830101 1840930 1860040 1919827 1939756 1945085 1953640 2067506 2088968 2091544 2097290 2103920 2153060 2194088 2245334 2252432 2258620 2355418 2362864 2393209 2418052 2424695 2432360 2536604 2539732 2566096 2611210 2614430 2723119 2726477 2735096 2742610 2771080 2815540 2936206 2945488 2953580 2984240 2987920 3022565 3080162 3112136 3162068 3170755 3174665 3207620 3355664 3394573 3418870 3454360 3565393 3602404 3623720 3660202 3681860 3720080 3839654 3879512 3890170 3907280 3952585 4135012 4177936 4183088 4194580 4306120 4388176 4439057 4444531 4490668 4503005 4517240 4710836 4786418 4836104 4849390 4864720 5057221 5073208 5079464 5168765 5222420 5228860 5446238 5452954 5470192 5485220 5542160 5613335 5631080 5872412 5888545 5907160 6045130 6160324 6224272 6304207 6324136 6341510 6349330 6415240 6613289 6789146 6837740 6908720 7130786 7204808 7247440 7320404 7340515 7363720 7679308 7700405 7759024 7780340 7858669 7905170 8243963 8270024 8389160 8612240 8878114 8889062 8981336 9006010 9034480 9150505 9421672 9572836 9599135 9672208 9698780 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6837362792 6877820560 6966148735 6988170280 7287663292 7307684345 7363313776 7502006330 7823520887 7848252776 7869813910 7961312840 8425330186 8546703490 8573721520 8941166728 8994073040 9084621364 9109579115 9178925392 9204142220 9628948784 9752608229 9810315970 9912153160 10230758083 10410947560 10687789840 11017739474 11145837976 11176458410 11211789680 11355776705 11473656740 11692294952 11965384886 12003210128 12036185980 12591702256 12753410761 12885799108 12962046440 12978030520 13534231828 13674725584 13932297470 13976340560 14529395933 14575326584 14615368690 15004012660 15647041774 15696505552 15739627820 15922625680 16107248885 16850660372 16917789785 17093406980 17882333456 18169242728 18219158230 18408284440 18999979297 19505216458 19620631940 19824306320 20461516166 20821895120 21063325465 22035478948 22291675952 22352916820 22711553410 22947313480 23384589904 23684905699 23930769772 24072371960 25506821522 25771598216 25924092880 25956061040 27068463656 27544348685 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145753265840 151999834376 156041731664 156470417740 163692129328 165794339893 167515388404 168506603720 181692427280 189479245592 189999792970 195052164580 203411543062 204054572176 204615161660 209394235505 219058584836 220354789480 232470334928 236849056990 239307697720 246999730861 255068215220 257715982160 265999710158 270684636560 273823231045 286461226324 290587918660 303999668752 312940835480 331588679786 335030776808 337013207440 358076532905 378958491184 379999585940 390104329160 406823086124 409230323320 418788471010 438117169672 440709578960 473698113980 478615395440 493999461722 508528857655 510136430440 531999420316 547646462090 572922452648 581175837320 625881670960 663177359572 664999275395 670061553616 711940400717 716153065810 759999171880 780208658320 813646172248 818460646640 828971699465 837576942020 876234339344 930998985553 947396227960 987998923444 1017057715310 1020272860880 1063998840632 1095292924180 1145844905296 1162351674640 1234998654305 1326354719144 1329998550790 1423880801434 1432306131620 1519998343760 1627292344496 1657943398930 1675153884040 1728998116027 1861997971106 1894792455920 1975997846888 2034115430620 2127997681264 2190585848360 2469997308610 2652709438288 2659997101580 2847761602868 2864612263240 3315886797860 3350307768080 3457996232054 3559702003585 3723995942212 3951995693776 4068230861240 4381171696720 4654994927765 4939994617220 5319994203160 5695523205736 5729224526480 6631773595720 6915992464108 7119404007170 7447991884424 8136461722480 8644990580135 9309989855530 9879989234440 10639988406320 11391046411472 12102986812189 13263547191440 13831984928216 14238808014340 14895983768848 17289981160270 18619979711060 19759978468880 24205973624378 27663969856432 28477616028680 34579962320540 37239959422120 48411947248756 56955232057360 60514934060945 69159924641080 74479918844240 96823894497512 121029868121890 138319849282160 193647788995024 242059736243780 484119472487560 968238944975120
- Sum of all divisors σ(n): 3055357696154400
- Sum of proper divisors (its aliquot sum) s(n): 2087118751179280
- 968238944975120 is an abundant number, because the sum of its proper divisors (2087118751179280) is greater than itself. Its abundance is 1118879806204160
Bases of 968238944975120
- Binary: 110111000010011011101100100101111101111001000100002
- Hexadecimal: 0x3709BB25F7910
- Base-36: 9J7MTWNDOW
Squares and roots of 968238944975120
- 968238944975120 squared (9682389449751202) is 937486654566533455097419014400
- 968238944975120 cubed (9682389449751203) is 907711089345755116905114506362772022921728000
-
The
square root of 968238944975120 is 31116538.1264548773 -
The
cube root of 968238944975120 is 98929.8876081615
Scales and comparisons
How big is 968238944975120?- 968,238,944,975,120 seconds is equal to 30,787,003 years, 25 weeks, 3 days, 13 hours, 5 minutes, 20 seconds.
-
To count from 1 to 968,238,944,975,120 would take you about seventy-six million, nine hundred sixty-seven thousand, five hundred eight 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 968238944975120 cubic inches would be around 8244.2 feet tall.
Recreational maths with 968238944975120
- 968238944975120 backwards is 021579449832869
- The number of decimal digits it has is: 15
- The sum of 968238944975120's digits is 77
- More coming soon!
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"Number 968238944975120 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 968238944975120 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/968238944975120/
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The information we have on file for 968238944975120 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!
Keywords: Divisors of 968238944975120, math, Factors of 968238944975120, curriculum, school, college, exams, university, Prime factorization of 968238944975120, STEM, science, technology, engineering, physics, economics, calculator, nine hundred sixty-eight trillion, two hundred thirty-eight billion, nine hundred forty-four million, nine hundred seventy-five thousand, one hundred twenty.