134817980088320
134,817,980,088,320 is an even composite number composed of six prime numbers multiplied together.
What does the number 134817980088320 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 672 divisors.
134817980088320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 134817980088320:
220 × 5 × 17 × 61 × 137 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 17 × 61 × 137 × 181)See below for interesting mathematical facts about the number 134817980088320 from the Numbermatics database.
Names of 134817980088320
- Cardinal: 134817980088320 can be written as One hundred thirty-four trillion, eight hundred seventeen billion, nine hundred eighty million, eighty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3481798008832 × 1014
Factors of 134817980088320
Divisors of 134817980088320
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 32 34 40 61 64 68 80 85 122 128 136 137 160 170 181 244 256 272 274 305 320 340 362 488 512 544 548 610 640 680 685 724 905 976 1024 1037 1088 1096 1220 1280 1360 1370 1448 1810 1952 2048 2074 2176 2192 2329 2440 2560 2720 2740 2896 3077 3620 3904 4096 4148 4352 4384 4658 4880 5120 5185 5440 5480 5792 6154 7240 7808 8192 8296 8357 8704 8768 9316 9760 10240 10370 10880 10960 11041 11584 11645 12308 14480 15385 15616 16384 16592 16714 17408 17536 18632 19520 20480 20740 21760 21920 22082 23168 23290 24616 24797 28960 30770 31232 32768 33184 33428 34816 35072 37264 39040 40960 41480 41785 43520 43840 44164 46336 46580 49232 49594 55205 57920 61540 62464 65536 66368 66856 69632 70144 74528 78080 81920 82960 83570 87040 87680 88328 92672 93160 98464 99188 110410 115840 123080 123985 124928 131072 132736 133712 139264 140288 142069 149056 156160 163840 165920 167140 174080 175360 176656 185344 186320 187697 196928 198376 220820 231680 246160 247970 249856 262144 265472 267424 278528 280576 284138 298112 312320 327680 331840 334280 348160 350720 353312 370688 372640 375394 393856 396752 421549 441640 463360 492320 495940 499712 524288 530944 534848 557056 561152 568276 596224 624640 655360 663680 668560 696320 701440 706624 710345 741376 745280 750788 787712 793504 843098 883280 926720 938485 984640 991880 999424 1048576 1061888 1069696 1114112 1122304 1136552 1192448 1249280 1310720 1327360 1337120 1392640 1402880 1413248 1420690 1482752 1490560 1501576 1512617 1575424 1587008 1686196 1766560 1853440 1876970 1969280 1983760 1998848 2107745 2123776 2139392 2228224 2244608 2273104 2384896 2498560 2621440 2654720 2674240 2785280 2805760 2826496 2841380 2965504 2981120 3003152 3025234 3150848 3174016 3372392 3533120 3706880 3753940 3938560 3967520 3997696 4215490 4247552 4278784 4456448 4489216 4546208 4769792 4997120 5242880 5309440 5348480 5570560 5611520 5652992 5682760 5931008 5962240 6006304 6050468 6301696 6348032 6744784 7066240 7413760 7507880 7563085 7877120 7935040 7995392 8430980 8495104 8557568 8912896 8978432 9092416 9539584 9994240 10618880 10696960 11141120 11223040 11305984 11365520 11862016 11924480 12012608 12100936 12603392 12696064 13489568 14132480 14827520 15015760 15126170 15754240 15870080 15990784 16861960 16990208 17115136 17825792 17956864 18184832 19079168 19988480 21237760 21393920 22282240 22446080 22611968 22731040 23724032 23848960 24025216 24201872 25206784 25392128 25714489 26979136 28264960 29655040 30031520 30252340 31508480 31740160 31981568 33723920 33980416 34230272 35913728 36369664 38158336 39976960 42475520 42787840 44564480 44892160 45223936 45462080 47448064 47697920 48050432 48403744 50413568 50784256 51428978 53958272 56529920 59310080 60063040 60504680 63016960 63480320 63963136 67447840 67960832 68460544 71827456 72739328 76316672 79953920 84951040 85575680 89128960 89784320 90447872 90924160 94896128 95395840 96100864 96807488 100827136 101568512 102857956 107916544 113059840 118620160 120126080 121009360 126033920 126960640 128572445 134895680 135921664 136921088 143654912 145478656 152633344 159907840 169902080 171151360 179568640 180895744 181848320 189792256 190791680 192201728 193614976 201654272 203137024 205715912 215833088 226119680 237240320 240252160 242018720 252067840 253921280 257144890 269791360 271843328 273842176 290957312 305266688 319815680 339804160 342302720 359137280 361791488 363696640 381583360 384403456 387229952 403308544 406274048 411431824 431666176 452239360 474480640 480504320 484037440 504135680 507842560 514289780 539582720 543686656 547684352 581914624 610533376 679608320 684605440 718274560 723582976 727393280 763166720 768806912 774459904 806617088 812548096 822863648 863332352 904478720 948961280 961008640 968074880 1008271360 1015685120 1028579560 1079165440 1087373312 1095368704 1163829248 1221066752 1359216640 1369210880 1447165952 1454786560 1526333440 1537613824 1548919808 1613234176 1625096192 1645727296 1726664704 1808957440 1922017280 1936149760 2016542720 2031370240 2057159120 2158330880 2190737408 2327658496 2442133504 2718433280 2738421760 2894331904 2909573120 3052666880 3075227648 3097839616 3226468352 3250192384 3291454592 3453329408 3617914880 3844034560 3872299520 4033085440 4062740480 4114318240 4316661760 4381474816 4655316992 5436866560 5476843520 5788663808 5819146240 6105333760 6150455296 6195679232 6500384768 6582909184 6906658816 7235829760 7688069120 7744599040 8066170880 8125480960 8228636480 8633323520 8762949632 9310633984 10953687040 11577327616 11638292480 12210667520 12300910592 12391358464 13000769536 13165818368 13813317632 14471659520 15376138240 15489198080 16132341760 16250961920 16457272960 17266647040 18621267968 21907374080 23276584960 24601821184 24782716928 26001539072 26331636736 27626635264 28943319040 30752276480 30978396160 32501923840 32914545920 34533294080 37242535936 43814748160 46553169920 49203642368 49565433856 52663273472 55253270528 57886638080 61504552960 61956792320 65003847680 65829091840 69066588160 74485071872 93106339840 98407284736 99130867712 105326546944 110506541056 123009105920 123913584640 130007695360 131658183680 138133176320 148970143744 186212679680 196814569472 198261735424 210653093888 221013082112 246018211840 247827169280 263316367360 276266352640 372425359360 396523470848 421306187776 442026164224 492036423680 495654338560 526632734720 552532705280 744850718720 793046941696 842612375552 984072847360 991308677120 1053265469440 1105065410560 1586093883392 1685224751104 1982617354240 2106530938880 2210130821120 3370449502208 3965234708480 4213061877760 6740899004416 7930469416960 8426123755520 13481798008832 16852247511040 26963596017664 33704495022080 67408990044160 134817980088320
- Sum of all divisors σ(n): 352692010079136
- Sum of proper divisors (its aliquot sum) s(n): 217874029990816
- 134817980088320 is an abundant number, because the sum of its proper divisors (217874029990816) is greater than itself. Its abundance is 83056049902496
Bases of 134817980088320
- Binary: 111101010011101110000011101000000000000000000002
- Hexadecimal: 0x7A9DC1D00000
- Base-36: 1BSEIWG3Y8
Squares and roots of 134817980088320
- 134817980088320 squared (1348179800883202) is 18175887755094647995000422400
- 134817980088320 cubed (1348179800883203) is 2450436473453889558026966358033189306368000
-
The
square root of 134817980088320 is 11611114.5067267337 -
The
cube root of 134817980088320 is 51276.2124994721
Scales and comparisons
How big is 134817980088320?- 134,817,980,088,320 seconds is equal to 4,286,794 years, 38 weeks, 6 days, 1 hour, 25 minutes, 20 seconds.
-
To count from 1 to 134,817,980,088,320 would take you about ten million, seven hundred sixteen thousand, nine hundred eighty-six 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 134817980088320 cubic inches would be around 4273 feet tall.
Recreational maths with 134817980088320
- 134817980088320 backwards is 023880089718431
- The number of decimal digits it has is: 15
- The sum of 134817980088320's digits is 62
- More coming soon!
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