106427013120
106,427,013,120 is an even composite number composed of six prime numbers multiplied together.
106427013120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 106427013120:
211 × 32 × 5 × 232 × 37 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 23 × 23 × 37 × 59)See below for interesting mathematical facts about the number 106427013120 from the Numbermatics database.
Names of 106427013120
- Cardinal: 106427013120 can be written as One hundred six billion, four hundred twenty-seven million, thirteen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.0642701312 × 1011
Factors of 106427013120
Divisors of 106427013120
- Number of divisors d(n): 864
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 37 40 45 46 48 59 60 64 69 72 74 80 90 92 96 111 115 118 120 128 138 144 148 160 177 180 184 185 192 207 222 230 236 240 256 276 288 295 296 320 333 345 354 360 368 370 384 414 444 460 472 480 512 529 531 552 555 576 590 592 640 666 690 708 720 736 740 768 828 851 885 888 920 944 960 1024 1035 1058 1062 1104 1110 1152 1180 1184 1280 1332 1357 1380 1416 1440 1472 1480 1536 1587 1656 1665 1702 1770 1776 1840 1888 1920 2048 2070 2116 2124 2183 2208 2220 2304 2360 2368 2553 2560 2645 2655 2664 2714 2760 2832 2880 2944 2960 3072 3174 3312 3330 3404 3540 3552 3680 3776 3840 4071 4140 4232 4248 4255 4366 4416 4440 4608 4720 4736 4761 5106 5120 5290 5310 5328 5428 5520 5664 5760 5888 5920 6144 6348 6549 6624 6660 6785 6808 7080 7104 7360 7552 7659 7680 7935 8142 8280 8464 8496 8510 8732 8832 8880 9216 9440 9472 9522 10212 10240 10580 10620 10656 10856 10915 11040 11328 11520 11776 11840 12213 12696 12765 13098 13248 13320 13570 13616 14160 14208 14720 15104 15318 15360 15870 16284 16560 16928 16992 17020 17464 17664 17760 18432 18880 18944 19044 19573 19647 20355 20424 21160 21240 21312 21712 21830 22080 22656 23040 23552 23680 23805 24426 25392 25530 26196 26496 26640 27140 27232 28320 28416 29440 30208 30636 30720 31211 31740 32568 32745 33120 33856 33984 34040 34928 35328 35520 37760 37888 38088 38295 39146 39294 40710 40848 42320 42480 42624 43424 43660 44160 45312 46080 47104 47360 47610 48852 50209 50784 51060 52392 52992 53280 54280 54464 56640 56832 58719 58880 60416 61065 61272 62422 63480 65136 65490 66240 67712 67968 68080 69856 70656 71040 75520 75776 76176 76590 78292 78588 81420 81696 84640 84960 85248 86848 87320 88320 90624 92160 93633 94720 95220 97704 97865 98235 100418 101568 102120 104784 105984 106560 108560 108928 113280 113664 117438 117760 120832 122130 122544 124844 126960 130272 130980 132480 135424 135936 136160 139712 141312 142080 150627 151040 152352 153180 156055 156584 157176 162840 163392 169280 169920 170496 173696 174640 176157 176640 181248 187266 189440 190440 195408 195730 196470 200836 203136 204240 209568 211968 213120 217120 217856 226560 227328 234876 235520 244260 245088 249688 251045 253920 260544 261960 264960 270848 271872 272320 279424 280899 284160 293595 301254 302080 304704 306360 312110 313168 314352 325680 326784 338560 339840 340992 347392 349280 352314 353280 362496 374532 378880 380880 390816 391460 392940 401672 406272 408480 419136 423936 426240 434240 435712 451881 453120 468165 469752 488520 490176 499376 502090 507840 521088 523920 529920 541696 543744 544640 558848 561798 568320 587190 602508 604160 609408 612720 624220 626336 628704 651360 653568 677120 679680 681984 694784 698560 704628 706560 749064 753135 761760 781632 782920 785880 803344 812544 816960 838272 852480 868480 871424 880785 903762 906240 936330 939504 977040 980352 998752 1004180 1015680 1042176 1047840 1059840 1083392 1087488 1089280 1117696 1123596 1136640 1154807 1174380 1205016 1218816 1225440 1248440 1252672 1257408 1302720 1307136 1354240 1359360 1389568 1397120 1404495 1409256 1498128 1506270 1523520 1563264 1565840 1571760 1606688 1625088 1633920 1676544 1704960 1736960 1742848 1761570 1807524 1812480 1872660 1879008 1954080 1960704 1997504 2008360 2031360 2084352 2095680 2119680 2178560 2235392 2247192 2259405 2309614 2348760 2410032 2437632 2450880 2496880 2505344 2514816 2605440 2614272 2708480 2718720 2779136 2794240 2808990 2818512 2996256 3012540 3047040 3126528 3131680 3143520 3213376 3250176 3267840 3353088 3409920 3464421 3473920 3523140 3615048 3745320 3758016 3908160 3921408 3995008 4016720 4062720 4168704 4191360 4357120 4470784 4494384 4518810 4619228 4697520 4820064 4875264 4901760 4993760 5010688 5029632 5210880 5228544 5416960 5437440 5588480 5617980 5637024 5774035 5992512 6025080 6094080 6253056 6263360 6287040 6426752 6535680 6706176 6928842 6947840 7046280 7230096 7490640 7516032 7816320 7842816 7990016 8033440 8125440 8337408 8382720 8714240 8988768 9037620 9238456 9395040 9640128 9750528 9803520 9987520 10021376 10059264 10393263 10421760 11176960 11235960 11274048 11548070 11985024 12050160 12188160 12506112 12526720 12574080 12853504 13071360 13412352 13857684 13895680 14092560 14460192 14981280 15032064 15632640 15685632 15980032 16066880 16250880 16765440 17322105 17977536 18075240 18476912 18790080 19280256 19607040 19975040 20042752 20118528 20786526 20843520 22353920 22471920 22548096 23096140 23970048 24100320 24376320 25012224 25053440 25148160 25707008 26142720 27715368 28185120 28920384 29962560 30064128 31265280 31960064 32133760 33530880 34644210 35955072 36150480 36953824 37580160 38560512 39214080 39950080 40085504 40237056 41573052 41687040 44943840 45096192 46192280 47940096 48200640 48752640 50106880 50296320 51414016 51966315 55430736 56370240 57840768 59925120 60128256 62530560 63920128 64267520 67061760 69288420 71910144 72300960 73907648 75160320 77121024 78428160 79900160 83146104 89887680 90192384 92384560 95880192 96401280 100213760 100592640 102828032 103932630 110861472 112740480 115681536 119850240 120256512 125061120 128535040 138576840 143820288 144601920 147815296 150320640 154242048 159800320 166292208 179775360 180384768 184769120 191760384 192802560 200427520 201185280 207865260 221722944 225480960 231363072 239700480 257070080 277153680 287640576 289203840 295630592 300641280 308484096 319600640 332584416 359550720 360769536 369538240 385605120 415730520 443445888 450961920 462726144 479400960 514140160 554307360 575281152 578407680 591261184 601282560 665168832 719101440 739076480 771210240 831461040 886891776 901923840 925452288 958801920 1108614720 1156815360 1182522368 1330337664 1438202880 1478152960 1542420480 1662922080 1773783552 1803847680 2217229440 2313630720 2365044736 2660675328 2876405760 2956305920 3325844160 3547567104 4434458880 4627261440 5321350656 5912611840 6651688320 7095134208 8868917760 10642701312 11825223680 13303376640 17737835520 21285402624 26606753280 35475671040 53213506560 106427013120
- Sum of all divisors σ(n): 402724904400
- Sum of proper divisors (its aliquot sum) s(n): 296297891280
- 106427013120 is an abundant number, because the sum of its proper divisors (296297891280) is greater than itself. Its abundance is 189870878160
Bases of 106427013120
- Binary: 11000110001111000101101011000000000002
- Hexadecimal: 0x18C78B5800
- Base-36: 1CW3W8W0
Squares and roots of 106427013120
- 106427013120 squared (1064270131202) is 11326709121644652134400
- 106427013120 cubed (1064270131203) is 1205467820295699068685624803328000
-
The
square root of 106427013120 is 326231.5329945895 -
The
cube root of 106427013120 is 4738.9699839565
Scales and comparisons
How big is 106427013120?- 106,427,013,120 seconds is equal to 3,384 years, 2 weeks, 4 days, 3 hours, 12 minutes.
-
To count from 1 to 106,427,013,120 would take you about six thousand, seven hundred sixty-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 106427013120 cubic inches would be around 394.9 feet tall.
Recreational maths with 106427013120
- 106427013120 backwards is 021310724601
- The number of decimal digits it has is: 12
- The sum of 106427013120's digits is 27
- More coming soon!
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