106007302501100
106,007,302,501,100 is an even composite number composed of seven prime numbers multiplied together.
106007302501100 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 106007302501100:
22 × 52 × 7 × 112 × 13 × 47 × 1273
(2 × 2 × 5 × 5 × 7 × 11 × 11 × 13 × 47 × 127 × 127 × 127)See below for interesting mathematical facts about the number 106007302501100 from the Numbermatics database.
Names of 106007302501100
- Cardinal: 106007302501100 can be written as One hundred six trillion, seven billion, three hundred two million, five hundred one thousand, one hundred.
Scientific notation
- Scientific notation: 1.060073025011 × 1014
Factors of 106007302501100
Divisors of 106007302501100
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 47 50 52 55 65 70 77 91 94 100 110 121 127 130 140 143 154 175 182 188 220 235 242 254 260 275 286 308 325 329 350 364 385 455 470 484 508 517 550 572 605 611 635 650 658 700 715 770 847 889 910 940 1001 1034 1100 1175 1210 1222 1270 1300 1316 1397 1430 1540 1573 1645 1651 1694 1778 1820 1925 2002 2068 2275 2350 2420 2444 2540 2585 2794 2860 3025 3055 3146 3175 3290 3302 3388 3556 3575 3619 3850 4004 4235 4277 4445 4550 4700 5005 5170 5588 5687 5969 6050 6110 6292 6350 6580 6604 6721 6985 7150 7238 7700 7865 8225 8255 8470 8554 8890 9100 9779 10010 10340 11011 11374 11557 11938 12100 12220 12700 12925 13442 13970 14300 14476 15275 15367 15730 16129 16450 16510 16940 17108 17780 18095 18161 19558 20020 21175 21385 22022 22225 22748 23114 23876 25025 25850 26884 27940 28435 29845 30550 30734 31460 32258 32900 33020 33605 34925 36190 36322 39116 39325 39809 41275 41783 42350 42770 44044 44450 46228 47047 48895 50050 51700 55055 56870 57785 59690 61100 61468 64516 65659 67210 69850 72380 72644 73931 76835 77597 78650 79618 80645 82550 83566 84700 85540 88900 90475 90805 94094 97790 100100 106925 107569 110110 112903 113740 115570 119380 127127 131318 134420 139700 142175 147862 149225 153670 155194 157300 159236 161290 165100 167132 168025 177419 180950 181610 188188 195580 199045 199771 208915 209677 213850 215138 220220 225806 231140 235235 244475 254254 262636 275275 284350 288925 295724 298450 307340 310388 322580 328295 336050 354838 361900 363220 369655 384175 387985 398090 399542 403225 417830 419354 427700 430276 451612 454025 459613 470470 488950 508508 517517 537845 543179 550550 564515 568700 577850 596900 635635 656590 672100 709676 722249 739310 758063 768350 775970 796180 799084 806450 835660 838708 853567 887095 908050 919226 940940 977900 995225 998855 1035034 1044575 1048385 1075690 1086358 1101100 1129030 1155700 1176175 1241933 1271270 1313180 1398397 1444498 1467739 1478620 1516126 1536700 1551940 1612900 1641475 1707134 1774190 1816100 1838452 1848275 1939925 1951609 1990450 1997710 2048383 2070068 2089150 2096770 2151380 2172716 2258060 2298065 2306447 2352350 2483866 2542540 2587585 2689225 2715895 2796794 2822575 2888996 2935478 3032252 3178175 3282950 3414268 3548380 3611245 3696550 3790315 3879850 3903218 3980900 3995420 4096766 4178300 4193540 4267835 4435475 4596130 4612894 4704700 4967732 4994275 5055743 5175170 5241925 5306441 5378450 5431790 5593588 5645150 5870956 5974969 6209665 6356350 6565900 6991985 7222490 7338695 7393100 7580630 7759700 7806436 8193532 8338693 8535670 8870950 9192260 9225788 9389237 9758045 9854819 9988550 10111486 10241915 10350340 10483850 10612882 10756900 10863580 11290300 11490325 11532235 11949938 12419330 12712700 12937925 13579475 13661263 13983970 14338681 14444980 14677390 15161260 16145129 16677386 17071340 17741900 18056225 18778474 18951575 19516090 19709638 19977100 20222972 20483830 20967700 21225764 21339175 22532213 22980650 23064470 23899876 24838660 25278715 25370917 25875850 26532205 26628979 27158950 27322526 27967940 28677362 29354780 29874845 31048325 32290258 33354772 34959925 36112450 36693475 37556948 37903150 39032180 39419276 40967660 41693465 42678350 45064426 45961300 46128940 46946185 48790225 49274095 50557430 50741834 51209575 51751700 53064410 53257958 54317900 54645052 57354724 57661175 58370851 59749690 62096650 64580516 65724659 68306315 68983733 69919850 71693405 72224900 73386950 75806300 80725645 83386930 85356700 90128852 91725623 93892370 96274001 97580450 98548190 101114860 101483668 102419150 106128820 106515916 108403009 112661065 115322350 116741702 119499380 124193300 126393575 126854585 131449318 132661025 133144895 136612630 137967466 139839700 143386810 146773900 149374225 157725491 161451290 166773860 177596419 183451246 186402853 187784740 192548002 195160900 197096380 204838300 208467325 216806018 225322130 230644700 233483404 234730925 246370475 247854343 252787150 253709170 262898636 265322050 266289790 273225260 275934932 286773620 291854255 292918769 298748450 315450982 322902580 328623295 341531575 344918665 355192838 358467025 366902492 372805706 385096004 403628225 416934650 433612036 450644260 458628115 469461850 481370005 492740950 495708686 505574300 507418340 530644100 532579580 542015045 563305325 583708510 585837538 597496900 630901964 634272925 642079361 657246590 665724475 673918007 683063150 689837330 710385676 716934050 745611412 758821063 788627455 807256450 833869300 887982095 917256230 932014265 938923700 962740010 985481900 991417372 1059014011 1084030090 1126610650 1167417020 1171675076 1192433099 1239271715 1251562013 1268545850 1284158722 1314493180 1331448950 1347836014 1366126300 1379674660 1433868100 1459271275 1464593845 1517642126 1577254910 1614512900 1643116475 1724593325 1734980401 1775964190 1834512460 1864028530 1925480020 2050431383 2118028022 2168060180 2253221300 2293140575 2384866198 2406850025 2478543430 2503124026 2537091700 2568317444 2662897900 2695672028 2710075225 2918542550 2929187690 3035284252 3154509820 3210396805 3222106459 3286232950 3369590035 3449186650 3469960802 3551928380 3728057060 3794105315 3943137275 4100862766 4236056044 4439910475 4586281150 4660071325 4769732396 4813700050 4957086860 5006248052 5295070055 5420150450 5837085100 5858375380 5962165495 6196358575 6257810065 6420793610 6444212918 6572465900 6739180070 6898373300 6939921604 7322969225 7413098077 7588210630 7886274550 8201725532 8347031693 8674902005 8760934091 8879820950 9172562300 9320142650 9627400100 10252156915 10590140110 10840300900 11649154121 11924330990 12392717150 12515620130 12841587220 12888425836 13478360140 13767182143 14645938450 14826196154 15176421260 15772549100 16051984025 16110532295 16694063386 16847950175 17349804010 17521868182 17759641900 18640285300 18970526575 20504313830 21180280220 22554745213 23298308242 23848661980 24785434300 25031240260 26475350275 27534364286 29291876900 29652392308 29810827475 31289050325 32103968050 32221064590 33388126772 33695900350 34699608020 35043736364 37065490385 37941053150 41008627660 41735158465 43374510025 43804670455 45109490426 46596616484 51260784575 52950700550 55068728572 58245770605 59621654950 62578100650 64207936100 64442129180 67391800700 68835910715 74130980770 75882106300 80552661475 81544078847 83470316930 86749020050 87609340910 90218980852 96370275001 102521569150 105901401100 112773726065 116491541210 119243309900 125156201300 137671821430 148261961540 151439003573 161105322950 163088157694 166940633860 173498040100 175218681820 185327451925 192740550002 205043138300 208675792325 219023352275 225547452130 232983082420 275343642860 291228853025 302878007146 322210645900 326176315388 344179553575 370654903850 385481100004 407720394235 417351584650 438046704550 451094904260 481851375005 563868630325 582457706050 605756014292 688359107150 741309807700 757195017865 815440788470 834703169300 876093409100 963702750010 1060073025011 1127737260650 1164915412100 1376718214300 1514390035730 1630881576940 1927405500020 2038601971175 2120146050022 2255474521300 2409256875025 3028780071460 3785975089325 4077203942350 4240292100044 4818513750050 5300365125055 7571950178650 8154407884700 9637027500100 10600730250110 15143900357300 21201460500220 26501825625275 53003651250550 106007302501100
- Sum of all divisors σ(n): 320342803415040
- Sum of proper divisors (its aliquot sum) s(n): 214335500913940
- 106007302501100 is an abundant number, because the sum of its proper divisors (214335500913940) is greater than itself. Its abundance is 108328198412840
Bases of 106007302501100
- Binary: 110000001101001101111111001101111110010111011002
- Hexadecimal: 0x6069BF9BF2EC
- Base-36: 11KR2YVQP8
Squares and roots of 106007302501100
- 106007302501100 squared (1060073025011002) is 11237548183559722315501210000
- 106007302501100 cubed (1060073025011003) is 1191262169665302313317252902133076331000000
-
The
square root of 106007302501100 is 10295984.7756831887 -
The
cube root of 106007302501100 is 47327.3216787611
Scales and comparisons
How big is 106007302501100?- 106,007,302,501,100 seconds is equal to 3,370,704 years, 16 weeks, 3 days, 12 hours, 58 minutes, 20 seconds.
-
To count from 1 to 106,007,302,501,100 would take you about eight million, four hundred twenty-six thousand, seven hundred sixty 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 106007302501100 cubic inches would be around 3943.9 feet tall.
Recreational maths with 106007302501100
- 106007302501100 backwards is 001105203700601
- 106007302501100 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 106007302501100's digits is 26
- More coming soon!
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The information we have on file for 106007302501100 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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