106642728379440
106,642,728,379,440 is an even composite number composed of six prime numbers multiplied together.
106642728379440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 106642728379440:
24 × 33 × 5 × 116 × 29 × 312
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 11 × 11 × 11 × 11 × 11 × 29 × 31 × 31)See below for interesting mathematical facts about the number 106642728379440 from the Numbermatics database.
Names of 106642728379440
- Cardinal: 106642728379440 can be written as One hundred six trillion, six hundred forty-two billion, seven hundred twenty-eight million, three hundred seventy-nine thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.0664272837944 × 1014
Factors of 106642728379440
Divisors of 106642728379440
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 29 30 31 33 36 40 44 45 48 54 55 58 60 62 66 72 80 87 88 90 93 99 108 110 116 120 121 124 132 135 144 145 155 165 174 176 180 186 198 216 220 232 240 242 248 261 264 270 279 290 297 310 319 330 341 348 360 363 372 396 432 435 440 464 465 484 495 496 522 528 540 558 580 594 605 620 638 660 682 696 720 726 744 783 792 837 870 880 899 930 957 961 968 990 1023 1044 1080 1089 1116 1160 1188 1210 1240 1276 1305 1320 1331 1364 1392 1395 1452 1485 1488 1566 1584 1595 1674 1705 1740 1798 1815 1860 1914 1922 1936 1980 2046 2088 2160 2178 2232 2320 2376 2420 2480 2552 2610 2640 2662 2697 2728 2790 2871 2883 2904 2970 3069 3132 3190 3267 3348 3410 3480 3509 3596 3630 3720 3751 3828 3844 3915 3960 3993 4092 4176 4185 4356 4464 4495 4752 4785 4805 4840 5104 5115 5220 5324 5394 5445 5456 5580 5742 5766 5808 5940 6138 6264 6380 6534 6655 6696 6820 6960 7018 7192 7260 7440 7502 7656 7688 7830 7920 7986 8091 8184 8370 8613 8649 8712 8990 9207 9570 9610 9680 9889 10230 10440 10527 10571 10648 10788 10890 11160 11253 11484 11532 11880 11979 12276 12528 12760 13068 13310 13392 13485 13640 14036 14355 14384 14415 14520 14641 15004 15312 15345 15376 15660 15972 16182 16335 16368 16740 17226 17298 17424 17545 17980 18414 18755 19140 19220 19778 19965 20460 20880 21054 21142 21296 21576 21780 22320 22506 22968 23064 23760 23958 24273 24552 25520 25947 26136 26620 26970 27280 27869 28072 28710 28830 29040 29282 29667 30008 30690 31320 31581 31713 31944 32364 32670 33480 33759 34452 34596 35090 35937 35960 36828 37510 38280 38440 38599 39556 39930 40455 40920 41261 42108 42284 43065 43152 43245 43560 43923 45012 45936 46035 46128 47916 48546 49104 49445 51894 52272 52635 52855 53240 53940 55738 56144 56265 57420 57660 58564 59334 59895 60016 61380 62640 63162 63426 63888 64728 65340 66960 67518 68904 69192 70180 71874 71920 73205 73656 75020 76560 76880 77198 79112 79860 80910 81840 82522 83607 84216 84568 86130 86490 87120 87846 89001 90024 92070 94743 95139 95832 97092 98890 101277 103788 105270 105710 106480 107880 108779 111476 112530 114840 115320 115797 116281 117128 118668 119790 121365 122760 123783 126324 126852 129456 129735 130680 131769 135036 137808 138384 139345 140360 143748 146410 147312 148335 150040 154396 157905 158224 158565 159720 161051 161820 165044 167214 168432 168795 169136 172260 172980 175692 178002 179685 180048 184140 189486 190278 191664 192995 194184 197780 202554 206305 207576 210540 211420 215760 217558 219615 222952 225060 229680 230640 231594 232562 234256 237336 239580 242730 245520 247566 250821 252648 253704 259470 261360 263538 267003 270072 278690 280720 285417 287496 292820 296670 300080 306559 308792 315810 317130 319440 322102 323640 326337 330088 334428 337590 344520 345960 347391 348843 351384 356004 359370 368280 371349 378972 380556 385990 388368 395307 395560 405108 412610 415152 418035 421080 422840 424589 435116 439230 445005 445904 450120 453871 463188 465124 473715 474672 475695 479160 483153 485460 495132 501642 505296 506385 507408 518940 527076 534006 540144 543895 557380 570834 574992 578985 581405 585640 593340 613118 617584 618915 631620 634260 644204 647280 652674 658845 660176 668856 675180 689040 691920 694782 697686 702768 712008 718740 736560 742698 752463 757944 761112 771980 790614 791120 805255 810216 825220 836070 842160 845680 849178 870232 878460 890010 900240 907742 919677 926376 930248 947430 951390 958320 966306 970920 979011 990264 1003284 1012770 1037880 1042173 1046529 1054152 1068012 1087790 1114047 1114760 1141668 1157970 1162810 1171280 1186680 1196569 1226236 1237830 1254105 1263240 1268520 1273767 1279091 1288408 1305348 1317690 1335015 1337712 1350360 1361613 1389564 1395372 1424016 1427085 1437480 1449459 1485396 1504926 1515888 1522224 1532795 1543960 1581228 1610510 1620432 1631685 1650440 1672140 1698356 1736955 1740464 1744215 1756920 1771561 1780020 1815484 1839354 1852752 1856745 1860496 1894860 1902780 1932612 1941840 1958022 1976535 1980528 2006568 2025540 2075760 2084346 2093058 2108304 2122945 2136024 2175580 2228094 2229520 2269355 2283336 2315940 2325620 2373360 2393138 2415765 2452472 2475660 2508210 2526480 2537040 2547534 2558182 2576816 2610696 2635380 2670030 2700720 2723226 2759031 2779128 2790744 2854170 2874960 2898918 2937033 2970792 3009852 3065590 3087920 3139587 3162456 3221020 3263370 3300880 3344280 3372149 3396712 3473910 3488430 3513840 3543122 3560040 3589707 3630968 3678708 3713490 3762315 3789720 3805560 3821301 3837273 3865224 3916044 3953070 4013136 4051080 4084839 4168692 4186116 4245890 4272048 4348377 4351160 4456188 4538710 4566672 4598385 4631880 4651240 4670479 4786276 4831530 4895055 4904944 4951320 4992581 5016420 5095068 5116364 5210865 5221392 5232645 5270760 5314683 5340060 5446452 5518062 5558256 5570235 5581488 5708340 5797836 5874066 5941584 5982845 6019704 6131180 6279174 6324912 6368835 6395455 6442040 6526740 6688560 6744298 6793424 6808065 6947820 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6676855020 6809880484 6935661315 6949672752 6964650495 7107619860 7283841840 7344540522 7398038736 7413982785 7428960528 7597800540 7818381846 7908248304 7963166695 8012226024 8160600580 8357580594 8512350605 8687090940 8902473360 8976660638 9247548420 9286200660 9476826480 9555800034 9792720696 9885310380 10015282530 10088234640 10130400720 10214820726 10424509128 10783974960 11016810783 11097058104 11143440792 11582787920 11862372456 12240900870 12330064560 12381600880 12741066712 13030636410 13180413840 13353710040 13464990957 13619760968 13871322630 13929300990 14215239720 14333700051 14689081044 14827965570 15195601080 15322231089 15636763692 15926333390 16024452048 16321201160 16715161188 17024701210 17374181880 17953321276 18361351305 18495096840 18572401320 19111600068 19545954615 19585441392 19770620760 20030565060 20429641452 20849018256 20893951485 22033621566 22194116208 22286881584 22441651595 23724744912 23889500085 24481801740 25482133424 25537051815 26061272820 26707420080 26929981914 27239521936 27742645260 27858601980 28430479440 28667400102 29378162088 29655931140 30391202160 30644462178 31273527384 31852666780 32642402320 33430322376 34049402420 34748363760 35906642552 36722702610 36990193680 37144802640 38223200136 39091909230 39541241520 40061130120 40394972871 40859282904 41787902970 43001100153 44067243132 44883303190 45966693267 47779000170 48963603480 49371633509 51074103630 52122545640 53859963828 55084053915 55485290520 55717203960 57334800204 58756324176 59311862280 61288924356 62547054768 63705333560 66860644752 67324954785 68098804840 71668500255 71813285104 73445405220 76446400272 76611155445 78183818460 80122260240 80789945742 81718565808 83575805940 86002200306 88134486264 89766606380 91933386534 95558000340 97927206960 98743267018 102148207260 104245091280 107719927656 110168107830 110970581040 111434407920 114669600408 118623724560 121184918613 122577848712 127410667120 134649909570 136197609680 143337000510 146890810440 148114900527 153222310890 156367636920 161579891484 167151611880 172004400612 176268972528 179533212760 183866773068 191116000680 197486534036 201974864355 204296414520 215005500765 215439855312 220336215660 229339200816 229833466335 242369837226 245155697424 246858167545 269299819140 286674001020 293781620880 296229801054 306444621780 312735273840 323159782968 334303223760 344008801224 359066425520 367733546136 382232001360 394973068072 403949728710 408592829040 430011001530 440672431320 444344701581 459666932670 484739674452 493716335090 538599638280 573348002040 592459602108 605924593065 612889243560 646319565936 688017602448 735467092272 740574502635 789946136144 807899457420 860022003060 881344862640 888689403162 919333865340 969479348904 987432670180 1077199276560 1146696004080 1184919204216 1211849186130 1225778487120 1333034104743 1481149005270 1615798914840 1720044006120 1777378806324 1838667730680 1938958697808 1974865340360 2221723507905 2369838408432 2423698372260 2666068209486 2962298010540 3231597829680 3440088012240 3554757612648 3677335461360 3949730680720 4443447015810 4847396744520 5332136418972 5924596021080 6665170523715 7109515225296 8886894031620 9694793489040 10664272837944 11849192042160 13330341047430 17773788063240 21328545675888 26660682094860 35547576126480 53321364189720 106642728379440
- Sum of all divisors σ(n): 431908958959200
- Sum of proper divisors (its aliquot sum) s(n): 325266230579760
- 106642728379440 is an abundant number, because the sum of its proper divisors (325266230579760) is greater than itself. Its abundance is 218623502200320
Bases of 106642728379440
- Binary: 110000011111101101100011111000101100100001100002
- Hexadecimal: 0x60FDB1F16430
- Base-36: 11SUZR1KC0
Squares and roots of 106642728379440
- 106642728379440 squared (1066427283794402) is 11372671516211017568614713600
- 106642728379440 cubed (1066427283794403) is 1212812719451885617284108745477867728384000
-
The
square root of 106642728379440 is 10326796.6175111631 -
The
cube root of 106642728379440 is 47421.6960472061
Scales and comparisons
How big is 106642728379440?- 106,642,728,379,440 seconds is equal to 3,390,908 years, 46 weeks, 3 days, 17 hours, 24 minutes.
-
To count from 1 to 106,642,728,379,440 would take you about eight million, four hundred seventy-seven thousand, two hundred seventy-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 106642728379440 cubic inches would be around 3951.8 feet tall.
Recreational maths with 106642728379440
- 106642728379440 backwards is 044973827246601
- The number of decimal digits it has is: 15
- The sum of 106642728379440's digits is 63
- More coming soon!
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"Number 106642728379440 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 106642728379440 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/106642728379440/
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The information we have on file for 106642728379440 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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