106125359104000
106,125,359,104,000 is an even composite number composed of five prime numbers multiplied together.
106125359104000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 106125359104000:
214 × 53 × 192 × 23 × 792
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 19 × 19 × 23 × 79 × 79)See below for interesting mathematical facts about the number 106125359104000 from the Numbermatics database.
Names of 106125359104000
- Cardinal: 106125359104000 can be written as One hundred six trillion, one hundred twenty-five billion, three hundred fifty-nine million, one hundred four thousand.
Scientific notation
- Scientific notation: 1.06125359104 × 1014
Factors of 106125359104000
Divisors of 106125359104000
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 4 5 8 10 16 19 20 23 25 32 38 40 46 50 64 76 79 80 92 95 100 115 125 128 152 158 160 184 190 200 230 250 256 304 316 320 361 368 380 395 400 437 460 475 500 512 575 608 632 640 722 736 760 790 800 874 920 950 1000 1024 1150 1216 1264 1280 1444 1472 1501 1520 1580 1600 1748 1805 1817 1840 1900 1975 2000 2048 2185 2300 2375 2432 2528 2560 2875 2888 2944 3002 3040 3160 3200 3496 3610 3634 3680 3800 3950 4000 4096 4370 4600 4750 4864 5056 5120 5750 5776 5888 6004 6080 6241 6320 6400 6992 7220 7268 7360 7505 7600 7900 8000 8192 8303 8740 9025 9085 9200 9500 9728 9875 10112 10240 10925 11500 11552 11776 12008 12160 12482 12640 12800 13984 14440 14536 14720 15010 15200 15800 16000 16384 16606 17480 18050 18170 18400 19000 19456 19750 20224 20480 21850 23000 23104 23552 24016 24320 24964 25280 25600 27968 28519 28880 29072 29440 30020 30400 31205 31600 32000 33212 34523 34960 36100 36340 36800 37525 38000 38912 39500 40448 40960 41515 43700 45125 45425 46000 46208 47104 48032 48640 49928 50560 51200 54625 55936 57038 57760 58144 58880 60040 60800 62410 63200 64000 66424 69046 69920 72200 72680 73600 75050 76000 77824 79000 80896 81920 83030 87400 90250 90850 92000 92416 94208 96064 97280 99856 101120 102400 109250 111872 114076 115520 116288 117760 118579 120080 121600 124820 126400 128000 132848 138092 139840 142595 143543 144400 145360 147200 150100 152000 155648 156025 158000 161792 166060 172615 174800 180500 181700 184000 184832 187625 188416 192128 194560 199712 202240 204800 207575 218500 223744 227125 228152 231040 232576 235520 237158 240160 243200 249640 252800 256000 265696 276184 279680 285190 287086 288800 290720 294400 300200 304000 311296 312050 316000 323584 332120 345230 349600 361000 363400 368000 369664 375250 376832 384256 389120 399424 404480 409600 415150 437000 447488 454250 456304 462080 465152 471040 474316 480320 486400 499280 505600 512000 531392 552368 559360 570380 574172 577600 581440 588800 592895 600400 608000 624100 632000 647168 655937 664240 690460 699200 712975 717715 722000 726800 736000 739328 750500 768512 778240 780125 798848 808960 830300 863075 874000 894976 908500 912608 924160 930304 942080 948632 960640 972800 998560 1011200 1024000 1037875 1062784 1104736 1118720 1140760 1148344 1155200 1162880 1177600 1185790 1200800 1216000 1248200 1264000 1294336 1311874 1328480 1380920 1398400 1425950 1435430 1444000 1453600 1472000 1478656 1501000 1537024 1556480 1560250 1597696 1617920 1660600 1726150 1748000 1789952 1817000 1825216 1848320 1860608 1884160 1897264 1921280 1945600 1997120 2022400 2048000 2075750 2125568 2209472 2237440 2253001 2281520 2296688 2310400 2325760 2355200 2371580 2401600 2432000 2496400 2528000 2623748 2656960 2727317 2761840 2796800 2851900 2870860 2888000 2907200 2944000 2957312 2964475 3002000 3074048 3120500 3195392 3235840 3279685 3321200 3452300 3496000 3564875 3579904 3588575 3634000 3650432 3696640 3721216 3794528 3842560 3891200 3994240 4044800 4151500 4251136 4315375 4418944 4474880 4506002 4563040 4593376 4620800 4651520 4710400 4743160 4803200 4864000 4992800 5056000 5247496 5313920 5454634 5523680 5593600 5703800 5741720 5776000 5814400 5888000 5914624 5928950 6004000 6148096 6241000 6390784 6471680 6559370 6642400 6904600 6992000 7129750 7159808 7177150 7268000 7300864 7393280 7442432 7589056 7685120 7782400 7988480 8089600 8303000 8502272 8630750 8837888 8949760 9012004 9126080 9186752 9241600 9303040 9420800 9486320 9606400 9728000 9985600 10112000 10494992 10627840 10909268 11047360 11187200 11265005 11407600 11483440 11552000 11628800 11776000 11857900 12008000 12296192 12482000 12781568 13118740 13284800 13636585 13809200 13984000 14259500 14354300 14536000 14601728 14786560 14822375 14884864 15178112 15370240 15976960 16179200 16398425 16606000 17004544 17261500 17675776 17899520 17942875 18024008 18252160 18373504 18483200 18606080 18972640 19212800 19456000 19971200 20224000 20989984 21255680 21818536 22094720 22374400 22530010 22815200 22966880 23104000 23257600 23552000 23715800 24016000 24592384 24964000 25563136 26237480 26569600 27273170 27618400 27968000 28519000 28708600 29072000 29203456 29573120 29644750 29769728 30356224 30740480 31953920 32358400 32796850 33212000 34009088 34523000 35351552 35799040 35885750 36048016 36504320 36747008 36966400 37212160 37945280 38425600 38912000 39942400 40448000 41979968 42511360 43637072 44189440 44748800 45060020 45630400 45933760 46208000 46515200 47104000 47431600 48032000 49928000 51126272 51819023 52474960 53139200 54546340 55236800 55936000 56325025 57038000 57417200 58144000 58406912 59289500 60712448 61480960 63907840 65593700 66424000 68018176 68182925 69046000 70703104 71771500 72096032 73008640 73494016 73932800 74424320 75890560 76851200 79884800 80896000 81992125 83959936 85022720 87274144 88378880 89497600 90120040 91260800 91867520 92416000 93030400 94863200 96064000 99856000 102252544 103638046 104949920 106278400 109092680 110473600 111872000 112650050 114076000 114834400 116288000 116813824 118579000 121424896 122961920 127815680 131187400 132848000 136036352 136365850 138092000 141406208 143543000 144192064 146017280 146988032 147865600 148848640 151781120 153702400 159769600 161792000 163984250 167919872 170045440 174548288 176757760 178995200 180240080 182521600 183735040 184832000 186060800 189726400 192128000 199712000 207276092 209899840 212556800 218185360 220947200 223744000 225300100 228152000 229668800 232576000 233627648 237158000 242849792 255631360 259095115 262374800 265696000 272731700 276184000 281625125 282812416 287086000 288384128 292034560 293976064 303562240 307404800 319539200 327968500 335839744 340090880 340914625 349096576 353515520 360480160 365043200 367470080 369664000 372121600 379452800 384256000 399424000 414552184 419799680 425113600 436370720 441894400 447488000 450600200 456304000 459337600 465152000 467255296 474316000 485699584 511262720 518190230 524749600 531392000 545463400 552368000 563250250 565624832 574172000 576768256 584069120 587952128 607124480 614809600 639078400 655937000 671679488 680181760 681829250 698193152 707031040 720960320 730086400 734940160 739328000 744243200 758905600 768512000 798848000 829104368 839599360 850227200 872741440 883788800 894976000 901200400 912608000 918675200 930304000 948632000 971399168 1036380460 1049499200 1062784000 1090926800 1104736000 1126500500 1148344000 1153536512 1168138240 1175904256 1214248960 1278156800 1295475575 1311874000 1343358976 1363658500 1396386304 1414062080 1441920640 1460172800 1469880320 1517811200 1537024000 1597696000 1658208736 1679198720 1700454400 1745482880 1767577600 1802400800 1825216000 1837350400 1860608000 1897264000 1942798336 2072760920 2098998400 2125568000 2181853600 2209472000 2253001000 2296688000 2307073024 2336276480 2351808512 2428497920 2556313600 2590951150 2623748000 2686717952 2727317000 2792772608 2828124160 2883841280 2920345600 2939760640 3035622400 3074048000 3195392000 3316417472 3358397440 3400908800 3490965760 3535155200 3604801600 3650432000 3674700800 3721216000 3794528000 4145521840 4197996800 4251136000 4363707200 4418944000 4506002000 4593376000 4614146048 4856995840 5181902300 5247496000 5373435904 5454634000 5585545216 5767682560 5840691200 5879521280 6071244800 6390784000 6477377875 6632834944 6716794880 6981931520 7070310400 7209603200 7300864000 7349401600 7589056000 8291043680 8395993600 8502272000 8727414400 8837888000 9012004000 9186752000 9228292096 9713991680 10363804600 10494992000 10746871808 10909268000 11171090432 11535365120 11681382400 11759042560 12142489600 12781568000 12954755750 13265669888 13433589760 13963863040 14140620800 14419206400 14601728000 14698803200 15178112000 16582087360 16791987200 17004544000 17454828800 17675776000 18024008000 18373504000 18456584192 20727609200 20989984000 21818536000 22342180864 23070730240 24284979200 25909511500 26531339776 26867179520 27927726080 28838412800 29203456000 29397606400 30356224000 33164174720 33583974400 34909657600 35351552000 36048016000 36747008000 36913168384 41455218400 41979968000 43637072000 44684361728 46141460480 48569958400 51819023000 53062679552 53734359040 55855452160 57676825600 58406912000 58795212800 60712448000 66328349440 67167948800 69819315200 70703104000 72096032000 73494016000 82910436800 83959936000 87274144000 92282920960 103638046000 106125359104 111710904320 115353651200 121424896000 132656698880 134335897600 139638630400 144192064000 146988032000 165820873600 167919872000 174548288000 184565841920 207276092000 212250718208 223421808640 230707302400 242849792000 265313397760 268671795200 279277260800 288384128000 293976064000 331641747200 335839744000 349096576000 414552184000 424501436416 461414604800 530626795520 558554521600 576768256000 663283494400 671679488000 698193152000 829104368000 849002872832 922829209600 1061253591040 1117109043200 1153536512000 1326566988800 1343358976000 1396386304000 1658208736000 2122507182080 2307073024000 2653133977600 2792772608000 3316417472000 4245014364160 4614146048000 5306267955200 5585545216000 6632834944000 10612535910400 13265669888000 21225071820800 26531339776000 53062679552000 106125359104000
- Sum of all divisors σ(n): 295449518958048
- Sum of proper divisors (its aliquot sum) s(n): 189324159854048
- 106125359104000 is an abundant number, because the sum of its proper divisors (189324159854048) is greater than itself. Its abundance is 83198800750048
Bases of 106125359104000
- Binary: 110000010000101001111000101010011000000000000002
- Hexadecimal: 0x60853C54C000
- Base-36: 11M9BEQGHS
Squares and roots of 106125359104000
- 106125359104000 squared (1061253591040002) is 11262591844952955682816000000
- 106125359104000 cubed (1061253591040003) is 1195246603987414311825045521956864000000000
-
The
square root of 106125359104000 is 10301716.3183617127 -
The
cube root of 106125359104000 is 47344.8840851387
Scales and comparisons
How big is 106125359104000?- 106,125,359,104,000 seconds is equal to 3,374,458 years, 7 weeks, 6 days, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 106,125,359,104,000 would take you about eight million, four hundred thirty-six thousand, one hundred forty-five 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 106125359104000 cubic inches would be around 3945.4 feet tall.
Recreational maths with 106125359104000
- 106125359104000 backwards is 000401953521601
- The number of decimal digits it has is: 15
- The sum of 106125359104000's digits is 37
- More coming soon!
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