132663780480
132,663,780,480 is an even composite number composed of seven prime numbers multiplied together.
What does the number 132663780480 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
132663780480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 132663780480:
27 × 3 × 5 × 7 × 112 × 292 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 11 × 29 × 29 × 97)See below for interesting mathematical facts about the number 132663780480 from the Numbermatics database.
Names of 132663780480
- Cardinal: 132663780480 can be written as One hundred thirty-two billion, six hundred sixty-three million, seven hundred eighty thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3266378048 × 1011
Factors of 132663780480
Divisors of 132663780480
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 29 30 32 33 35 40 42 44 48 55 56 58 60 64 66 70 77 80 84 87 88 96 97 105 110 112 116 120 121 128 132 140 145 154 160 165 168 174 176 192 194 203 210 220 224 231 232 240 242 264 280 290 291 308 319 320 330 336 348 352 363 384 385 388 406 420 435 440 448 462 464 480 484 485 528 560 580 582 605 609 616 638 640 660 672 679 696 704 726 770 776 812 840 841 847 870 880 896 924 928 957 960 968 970 1015 1056 1067 1120 1155 1160 1164 1210 1218 1232 1276 1320 1344 1358 1392 1408 1452 1455 1540 1552 1595 1624 1680 1682 1694 1740 1760 1815 1848 1856 1914 1920 1936 1940 2030 2037 2112 2134 2233 2240 2310 2320 2328 2420 2436 2464 2523 2541 2552 2640 2688 2716 2784 2813 2904 2910 3045 3080 3104 3190 3201 3248 3360 3364 3388 3395 3480 3509 3520 3630 3696 3712 3828 3872 3880 4060 4074 4205 4224 4235 4268 4466 4480 4620 4640 4656 4785 4840 4872 4928 5046 5082 5104 5280 5335 5432 5568 5626 5808 5820 5887 6090 6160 6208 6380 6402 6496 6699 6720 6728 6776 6790 6960 7018 7040 7260 7392 7469 7656 7744 7760 8120 8148 8410 8439 8470 8536 8932 9240 9251 9280 9312 9570 9680 9744 9856 10092 10164 10185 10208 10527 10560 10670 10864 11136 11165 11252 11616 11640 11737 11774 12180 12320 12416 12615 12705 12760 12804 12992 13398 13440 13456 13552 13580 13920 14036 14065 14520 14784 14938 15312 15488 15520 16005 16240 16296 16820 16878 16940 17072 17545 17661 17864 18480 18502 18560 18624 19140 19360 19488 19691 20184 20328 20370 20416 21054 21120 21340 21728 22330 22407 22504 23232 23280 23474 23548 24360 24563 24640 25230 25410 25520 25608 25984 26796 26912 27104 27160 27753 27840 28072 28130 29040 29435 29568 29876 30624 30943 31040 32010 32480 32592 33495 33640 33756 33880 34144 35090 35211 35322 35728 36960 37004 37248 37345 38280 38720 38976 39382 40368 40656 40740 40832 42108 42195 42680 43456 44660 44814 45008 46255 46464 46560 46948 47096 48720 49126 49280 50460 50820 51040 51216 52635 53592 53824 54208 54320 55506 55680 56144 56260 58080 58685 58870 59073 59752 61248 61886 62080 64020 64757 64960 65184 66990 67280 67512 67760 68288 70180 70422 70644 71456 73689 73920 74008 74690 76560 77440 77952 78764 80736 81312 81480 81577 82159 84216 84390 85360 86912 88305 89320 89628 90016 92510 92829 93120 93896 94192 97440 98252 98455 100920 101640 101761 102080 102432 105270 107184 107648 108416 108640 111012 112035 112288 112520 116160 117370 117740 118146 119504 122496 122815 123772 128040 129514 129920 130368 133980 134560 135024 135520 136576 138765 140360 140844 141288 142912 147378 147840 148016 149380 153120 154715 157528 161472 162624 162960 163154 164318 168432 168780 170720 176055 176610 178640 179256 180032 185020 185658 186240 187792 188384 194271 194880 196504 196910 201840 203280 203522 204160 204864 210540 214368 216601 217280 222024 224070 224576 225040 232320 234740 235480 236292 239008 244731 245630 246477 247544 256080 259028 260736 267960 269120 270048 271040 277530 280720 281688 282576 285824 294756 295365 296032 298760 305283 306240 309430 315056 322944 323785 325248 325920 326308 328636 336864 337560 340373 341440 352110 353220 357280 358512 360064 368445 370040 371316 375584 376768 388542 389760 393008 393820 403680 406560 407044 407885 409728 410795 421080 428736 433202 434560 444048 448140 449152 450080 464145 469480 470960 472584 478016 489462 491260 492954 495088 508805 512160 518056 535920 538240 540096 542080 555060 561440 563376 565152 571039 589512 590730 592064 597520 610566 612480 618860 630112 647570 649803 651840 652616 657272 673728 675120 680746 682880 704220 706440 712327 714560 717024 736890 740080 742632 751168 753536 777084 786016 787640 807360 813120 814088 815770 821590 842160 857472 866404 888096 896280 897347 900160 928290 938960 941920 945168 956032 971355 978924 982520 985908 990176 1017610 1021119 1024320 1036112 1071840 1080192 1083005 1110120 1122880 1126752 1130304 1142078 1179024 1181460 1184128 1195040 1221132 1223655 1232385 1237720 1260224 1295140 1299606 1303680 1305232 1314544 1347456 1350240 1361492 1408440 1412880 1424654 1429120 1434048 1473780 1480160 1485264 1502336 1526415 1554168 1572032 1575280 1614720 1626240 1628176 1631540 1643180 1684320 1701865 1713117 1732808 1776192 1792560 1794694 1800320 1856580 1877920 1883840 1890336 1942710 1957848 1965040 1971816 1980352 2035220 2042238 2048640 2072224 2136981 2143680 2166010 2220240 2245760 2253504 2260608 2284156 2358048 2362920 2382611 2390080 2442264 2447310 2464770 2475440 2520448 2590280 2599212 2610464 2629088 2692041 2700480 2722984 2816880 2825760 2849308 2855195 2868096 2947560 2960320 2970528 3052830 3108336 3144064 3150560 3249015 3256352 3263080 3286360 3368640 3403730 3426234 3465616 3552384 3561635 3585120 3589388 3713160 3755840 3767680 3780672 3885420 3915696 3930080 3943632 3960704 4070440 4084476 4144448 4273962 4287360 4332020 4440480 4486735 4507008 4568312 4716096 4725840 4765222 4780160 4884528 4894620 4929540 4950880 5105595 5180560 5198424 5220928 5258176 5384082 5400960 5445968 5633760 5651520 5698616 5710390 5895120 5920640 5941056 6105660 6216672 6281429 6301120 6498030 6512704 6526160 6572720 6737280 6807460 6852468 6931232 7123270 7147833 7170240 7178776 7426320 7511680 7561344 7770840 7831392 7860160 7887264 8140880 8168952 8288896 8547924 8565585 8664040 8880960 8973470 9136624 9432192 9451680 9530444 9769056 9789240 9859080 9870817 9901760 10211190 10361120 10396848 10441856 10516352 10684905 10768164 10891936 11267520 11303040 11397232 11420780 11790240 11882112 11913055 12211320 12433344 12562858 12602240 12996060 13025408 13052320 13145440 13460205 13614920 13704936 13862464 14246540 14295666 14340480 14357552 14852640 15541680 15662784 15720320 15774528 16281760 16337904 17095848 17131170 17328080 17761920 17946940 18273248 18844287 18903360 19060888 19538112 19578480 19718160 19741634 19803520 20422380 20722240 20793696 21369810 21536328 21783872 22535040 22794464 22841560 23580480 23826110 24422640 24866688 25125716 25992120 26104640 26290880 26920410 27229840 27409872 27724928 28493080 28591332 28715104 29612451 29705280 31083360 31325568 31407145 31549056 32563520 32675808 34191696 34262340 34656160 35739165 35893880 36546496 37688574 37806720 38121776 39076224 39156960 39436320 39483268 40844760 41444480 41587392 42739620 43072656 43567744 45588928 45683120 47160960 47652220 48845280 49354085 50251432 51984240 52209280 52581760 53840820 54459680 54819744 56986160 57182664 57430208 59224902 59410560 62166720 62814290 65127040 65351616 68383392 68524680 69095719 69312320 71478330 71787760 73092992 75377148 76243552 78313920 78872640 78966536 81689520 83174784 85479240 86145312 91177856 91366240 94221435 95304440 97690560 98708170 100502864 103968480 107681640 108919360 109639488 113972320 114365328 114860416 118449804 124333440 125628580 130703232 136766784 137049360 138191438 138624640 142956660 143575520 148062255 150754296 152487104 156627840 157745280 157933072 163379040 170958480 172290624 182732480 188442870 190608880 195381120 197416340 201005728 207287157 207936960 215363280 217838720 219278976 227944640 228730656 236899608 251257160 273533568 274098720 276382876 285913320 287151040 296124510 301508592 304974208 315866144 326758080 341916960 344581248 345478595 365464960 376885740 381217760 394832680 402011456 414574314 415873920 430726560 455889280 457461312 473799216 502514320 548197440 552765752 571826640 574302080 592249020 603017184 631732288 653516160 683833920 690957190 753771480 762435520 789665360 804022912 829148628 861453120 914922624 947598432 1005028640 1036435785 1096394880 1105531504 1143653280 1184498040 1206034368 1263464576 1367667840 1381914380 1507542960 1524871040 1579330720 1658297256 1722906240 1895196864 2010057280 2072871570 2211063008 2287306560 2368996080 2412068736 2763828760 3015085920 3158661440 3316594512 3790393728 4020114560 4145743140 4422126016 4574613120 4737992160 5527657520 6030171840 6317322880 6633189024 8291486280 8844252032 9475984320 11055315040 12060343680 13266378048 16582972560 18951968640 22110630080 26532756096 33165945120 44221260160 66331890240 132663780480
- Sum of all divisors σ(n): 555823981440
- Sum of proper divisors (its aliquot sum) s(n): 423160200960
- 132663780480 is an abundant number, because the sum of its proper divisors (423160200960) is greater than itself. Its abundance is 290496420480
Bases of 132663780480
- Binary: 11110111000110110000010100100100000002
- Hexadecimal: 0x1EE360A480
- Base-36: 1OY0L85C
Squares and roots of 132663780480
- 132663780480 squared (1326637804802) is 17599678651245629030400
- 132663780480 cubed (1326637804803) is 2334839905107392608248500846592000
-
The
square root of 132663780480 is 364230.3947778109 -
The
cube root of 132663780480 is 5100.1637840519
Scales and comparisons
How big is 132663780480?- 132,663,780,480 seconds is equal to 4,218 years, 15 weeks, 3 days, 10 hours, 8 minutes.
-
To count from 1 to 132,663,780,480 would take you about eight thousand, four hundred thirty-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 132663780480 cubic inches would be around 425 feet tall.
Recreational maths with 132663780480
- 132663780480 backwards is 084087366231
- 132663780480 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 132663780480's digits is 48
- More coming soon!
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The information we have on file for 132663780480 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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