138040451651200
138,040,451,651,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138040451651200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
138040451651200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138040451651200:
27 × 52 × 7 × 31 × 37 × 137 × 39217
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 31 × 37 × 137 × 39217)See below for interesting mathematical facts about the number 138040451651200 from the Numbermatics database.
Names of 138040451651200
- Cardinal: 138040451651200 can be written as One hundred thirty-eight trillion, forty billion, four hundred fifty-one million, six hundred fifty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.380404516512 × 1014
Factors of 138040451651200
Divisors of 138040451651200
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 37 40 50 56 62 64 70 74 80 100 112 124 128 137 140 148 155 160 175 185 200 217 224 248 259 274 280 296 310 320 350 370 400 434 448 496 518 548 560 592 620 640 685 700 740 775 800 868 896 925 959 992 1036 1085 1096 1120 1147 1184 1240 1295 1370 1400 1480 1550 1600 1736 1850 1918 1984 2072 2170 2192 2240 2294 2368 2480 2590 2740 2800 2960 3100 3200 3425 3472 3700 3836 3968 4144 4247 4340 4384 4480 4588 4736 4795 4960 5069 5180 5425 5480 5600 5735 5920 6200 6475 6850 6944 7400 7672 8029 8288 8494 8680 8768 9176 9590 9920 10138 10360 10850 10960 11200 11470 11840 12400 12950 13700 13888 14800 15344 16058 16576 16988 17360 17536 18352 19180 19840 20276 20720 21235 21700 21920 22400 22940 23680 23975 24800 25345 25900 27400 27776 28675 29600 29729 30688 32116 33152 33976 34720 35483 36704 38360 39217 40145 40552 41440 42470 43400 43840 45880 47950 49600 50690 51800 54800 57350 59200 59458 61376 64232 67952 69440 70966 73408 76720 78434 80290 81104 82880 84940 86800 87680 91760 95900 99200 101380 103600 106175 109600 114700 118400 118916 122752 126725 128464 135904 138880 141932 146816 148645 153440 156868 157139 160580 162208 165760 169880 173600 177415 183520 191800 196085 200725 202760 207200 212350 219200 229400 237832 253450 256928 271808 274519 283864 297290 306880 313736 314278 321160 324416 339760 347200 354830 367040 383600 392170 401450 405520 414400 424700 438400 458800 475664 506900 513856 543616 549038 567728 594580 613760 627472 628556 642320 648832 679520 694400 709660 734080 743225 767200 784340 785695 802900 811040 828800 849400 887075 917600 951328 980425 1013800 1027712 1098076 1099973 1135456 1189160 1215727 1254944 1257112 1284640 1359040 1372595 1419320 1451029 1486450 1534400 1568680 1571390 1605800 1622080 1698800 1774150 1835200 1902656 1960850 2027600 2196152 2199946 2270912 2378320 2431454 2509888 2514224 2569280 2718080 2745190 2838640 2902058 2972900 3068800 3137360 3142780 3211600 3244160 3397600 3548300 3670400 3805312 3921700 3928475 4055200 4392304 4399892 4541824 4756640 4862908 5019776 5028448 5138560 5372729 5490380 5499865 5677280 5804116 5945800 6078635 6274720 6285560 6423200 6795200 6862975 7096600 7255145 7843400 7856950 8110400 8510089 8784608 8799784 9513280 9725816 10056896 10157203 10745458 10980760 10999730 11354560 11608232 11891600 12157270 12549440 12571120 12846400 13590400 13725950 14193200 14510290 15686800 15713900 16220800 17020178 17569216 17599568 19026560 19451632 20113792 20314406 21490916 21961520 21999460 22709120 23216464 23783200 24314540 25098880 25142240 25692800 26863645 27451900 27499325 28386400 29020580 30393175 31373600 31427800 34040356 35138432 35199136 36275725 37609103 38903264 40628812 42550445 42981832 43923040 43998920 44981899 46432928 47566400 48629080 50284480 50786015 53727290 54903800 54998650 56772800 58041160 60786350 62747200 62855600 68080712 70398272 72551450 75218206 77806528 81257624 85100890 85963664 87846080 87997840 89963798 92865856 95132800 97258160 100568960 101572030 107454580 109807600 109997300 113545600 116082320 121572700 125494400 125711200 134318225 136161424 140796544 145102900 150436412 155613056 162515248 166554599 170201780 171927328 175692160 175995680 179927596 185731712 188045515 194516320 198790973 203144060 212752225 214909160 219615200 219994600 224909495 232164640 243145400 251422400 253930075 268636450 272322848 290205800 300872824 314873293 325030496 333109198 340403560 343854656 351991360 359855192 376091030 389032640 397581946 406288120 425504450 429818320 439230400 439989200 449818990 464329280 486290800 502844800 507860150 537272900 544645696 580411600 601745648 629746586 650060992 666218396 680807120 687709312 703982720 719710384 752182060 778065280 795163892 812576240 832772995 851008900 859636640 878460800 879978400 899637980 928658560 940227575 972581600 993954865 1015720300 1074545800 1089291392 1124547475 1160823200 1165882193 1203491296 1259493172 1300121984 1332436792 1361614240 1391536811 1439420768 1504364120 1574366465 1590327784 1625152480 1665545990 1702017800 1719273280 1759956800 1799275960 1880455150 1945163200 1987909730 2031440600 2149091600 2249094950 2321646400 2331764386 2406982592 2518986344 2664873584 2723228480 2783073622 2878841536 3008728240 3148732930 3180655568 3250304960 3331091980 3404035600 3438546560 3519913600 3598551920 3760910300 3890326400 3975819460 4062881200 4163864975 4298183200 4498189900 4643292800 4663528772 4813965184 4969774325 5037972688 5329747168 5446456960 5566147244 5757683072 5829410965 6017456480 6162520163 6297465860 6361311136 6500609920 6662183960 6808071200 6957684055 7197103840 7521820600 7871832325 7951638920 8125762400 8327729950 8596366400 8996379800 9327057544 9939548650 10075945376 10659494336 11132294488 11658821930 12034912960 12325040326 12594931720 12722622272 13324367920 13616142400 13915368110 14394207680 15043641200 15743664650 15903277840 16251524800 16655459900 17192732800 17992759600 18654115088 19879097300 20151890752 21318988672 22264588976 23317643860 24069825920 24650080652 25189863440 25445244544 26648735840 27232284800 27830736220 28788415360 29147054825 30087282400 30812600815 31487329300 31806555680 32503049600 33310919800 34788420275 35985519200 37308230176 39758194600 40303781504 43137641141 44529177952 46635287720 49300161304 50379726880 53297471680 55661472440 58294109650 60174564800 61625201630 62974658600 63613111360 66621839600 69576840550 71971038400 74616460352 79516389200 86275282282 89058355904 93270575440 98600322608 100759453760 106594943360 111322944880 116588219300 120349129600 123250403260 125949317200 127226222720 133243679200 139153681100 143942076800 149232920704 154063004075 159032778400 172550564564 178116711808 186541150880 197200645216 201518907520 215688205705 222645889760 233176438600 246500806520 251898634400 266487358400 278307362200 308126008150 318065556800 345101129128 373082301760 394401290432 431376411410 445291779520 466352877200 493001613040 503797268800 532974716800 556614724400 616252016300 636131113600 690202258256 746164603520 788802580864 862752822820 890583559040 932705754400 986003226080 1007594537600 1078441028525 1113229448800 1232504032600 1380404516512 1725505645640 1865411508800 1972006452160 2156882057050 2226458897600 2465008065200 2760809033024 3451011291280 3730823017600 3944012904320 4313764114100 4452917795200 4930016130400 5521618066048 6902022582560 8627528228200 9860032260800 13804045165120 17255056456400 19720064521600 27608090330240 34510112912800 69020225825600 138040451651200
- Sum of all divisors σ(n): 416188393666560
- Sum of proper divisors (its aliquot sum) s(n): 278147942015360
- 138040451651200 is an abundant number, because the sum of its proper divisors (278147942015360) is greater than itself. Its abundance is 140107490364160
Bases of 138040451651200
- Binary: 111110110001100000011000001010111010110100000002
- Hexadecimal: 0x7D8C0C15D680
- Base-36: 1CXIWOTBB4
Squares and roots of 138040451651200
- 138040451651200 squared (1380404516512002) is 19055166292067284806461440000
- 138040451651200 cubed (1380404516512003) is 2630383761245690006423600757677129728000000
-
The
square root of 138040451651200 is 11749061.7349301557 -
The
cube root of 138040451651200 is 51681.5413043913
Scales and comparisons
How big is 138040451651200?- 138,040,451,651,200 seconds is equal to 4,389,259 years, 19 weeks, 3 days, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 138,040,451,651,200 would take you about ten million, nine hundred seventy-three thousand, one hundred forty-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 138040451651200 cubic inches would be around 4306.8 feet tall.
Recreational maths with 138040451651200
- 138040451651200 backwards is 002156154040831
- 138040451651200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138040451651200's digits is 40
- More coming soon!
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The information we have on file for 138040451651200 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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