138026873567232
138,026,873,567,232 is an even composite number composed of six prime numbers multiplied together.
138026873567232 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138026873567232:
211 × 33 × 134 × 17 × 53 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 13 × 13 × 13 × 17 × 53 × 97)See below for interesting mathematical facts about the number 138026873567232 from the Numbermatics database.
Names of 138026873567232
- Cardinal: 138026873567232 can be written as One hundred thirty-eight trillion, twenty-six billion, eight hundred seventy-three million, five hundred sixty-seven thousand, two hundred thirty-two.
Scientific notation
- Scientific notation: 1.38026873567232 × 1014
Factors of 138026873567232
Divisors of 138026873567232
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 32 34 36 39 48 51 52 53 54 64 68 72 78 96 97 102 104 106 108 117 128 136 144 153 156 159 169 192 194 204 208 212 216 221 234 256 272 288 291 306 312 318 338 351 384 388 408 416 424 432 442 459 468 477 507 512 544 576 582 612 624 636 663 676 689 702 768 776 816 832 848 864 873 884 901 918 936 954 1014 1024 1088 1152 1164 1224 1248 1261 1272 1326 1352 1378 1404 1431 1521 1536 1552 1632 1649 1664 1696 1728 1746 1768 1802 1836 1872 1908 1989 2028 2048 2067 2176 2197 2304 2328 2448 2496 2522 2544 2619 2652 2703 2704 2756 2808 2862 2873 3042 3072 3104 3264 3298 3328 3392 3456 3492 3536 3604 3672 3744 3783 3816 3978 4056 4134 4352 4394 4563 4608 4656 4896 4947 4992 5044 5088 5141 5238 5304 5406 5408 5512 5616 5724 5746 5967 6084 6144 6201 6208 6528 6591 6596 6656 6784 6912 6984 7072 7208 7344 7488 7566 7632 7956 8109 8112 8268 8619 8704 8788 8957 9126 9216 9312 9792 9894 9984 10088 10176 10282 10476 10608 10812 10816 11024 11232 11349 11448 11492 11713 11934 12168 12402 12416 13056 13182 13192 13312 13568 13824 13968 14144 14416 14688 14841 14976 15132 15264 15423 15912 16218 16224 16393 16536 17238 17408 17576 17914 18252 18432 18603 18624 19584 19773 19788 19968 20176 20352 20564 20952 21216 21437 21624 21632 22048 22464 22698 22896 22984 23426 23868 24327 24336 24804 24832 25857 26112 26364 26384 26624 26871 27136 27648 27936 28288 28561 28832 29376 29682 29952 30264 30528 30846 31824 32436 32448 32786 33072 34047 34476 34816 35139 35152 35828 36504 37206 37248 37349 39168 39546 39576 39936 40352 40704 41128 41904 42432 42874 43248 43264 44096 44523 44928 45396 45792 45968 46269 46852 47736 48654 48672 49179 49608 49664 51714 52224 52728 52768 53742 54272 55296 55872 56576 57122 57664 58752 59319 59364 59904 60528 61056 61692 63648 64311 64872 64896 65572 66144 66833 68094 68952 70278 70304 71656 73008 74412 74496 74698 77571 78336 79092 79152 79872 80613 80704 81408 82256 83808 84864 85683 85748 86496 86528 87397 88192 89046 89856 90792 91584 91936 92538 93704 95472 97308 97344 98358 99216 99328 103428 104448 105417 105456 105536 107484 108544 111744 112047 113152 114244 115328 116441 117504 118638 118728 119808 121056 122112 123384 127296 128622 129744 129792 131144 132288 133666 136188 137904 138807 140556 140608 143312 146016 147537 148824 148992 149396 152269 155142 156672 158184 158304 161226 161408 162816 164512 167616 169728 171366 171496 172992 173056 174794 176384 178092 179712 181584 183168 183872 185076 187408 190944 192933 194616 194688 196716 198432 198656 200499 206856 210834 210912 211072 213109 214968 223488 224094 226304 228488 230656 232882 235008 237276 237456 239616 241839 242112 244224 246768 254592 257049 257244 259488 259584 262191 262288 264576 267332 272376 275808 277614 278681 281112 281216 286624 292032 295074 297648 297984 298792 304538 310284 313344 316251 316368 316608 322452 322816 325632 329024 335232 336141 339456 342732 342992 345984 346112 349323 349588 352768 356184 359424 363168 366336 367744 370152 374816 381888 385866 389232 389376 393432 396864 400998 413712 421668 421824 422144 426218 429936 442611 446976 448188 452608 456807 456976 461312 465764 470016 474552 474912 483678 484224 485537 488448 493536 509184 514098 514488 518976 519168 524382 524576 529152 534664 544752 551616 555228 557362 562224 562432 573248 578799 584064 590148 595296 595968 597584 601497 609076 620568 632502 632736 633216 639327 644904 645632 658048 670464 672282 678912 685464 685984 691968 698646 699176 705536 712368 718848 726336 732672 735488 740304 749632 763776 771147 771732 778464 778752 786573 786864 793728 801996 827424 836043 843336 843648 844288 852436 859872 868829 885222 893952 896376 913614 913952 922624 931528 940032 949104 949824 967356 968448 971074 976896 987072 1008423 1018368 1028196 1028976 1037952 1038336 1047969 1048764 1049152 1058304 1069328 1089504 1103232 1110456 1114724 1124448 1124864 1136161 1146496 1157598 1168128 1180296 1190592 1195168 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709226752 715413504 722865728 736504704 745784832 750668256 753553424 760126848 768044836 775031296 782536248 789654528 797585022 797880096 804840192 805450752 813223944 823470752 839007936 847747602 855142704 856108032 871910208 872571648 880992606 889680896 906467328 923899392 926404596 927450368 935540736 945285952 963121536 981643104 982006272 994379776 1000891008 1013502464 1032625152 1043381664 1052483328 1063446696 1063840128 1073120256 1084298592 1118677248 1130330136 1140190272 1152067254 1162546944 1163428864 1174656808 1185380352 1196820144 1208176128 1219835916 1231865856 1235206128 1271621403 1284162048 1307865312 1308857472 1309341696 1321488909 1334521344 1389606894 1391175552 1403311104 1417928928 1418453504 1445731456 1473009408 1491569664 1501336512 1507106848 1520253696 1536089672 1550062592 1565072496 1579309056 1595170044 1595760192 1609680384 1610901504 1626447888 1646941504 1678015872 1695495204 1710285408 1712216064 1728100881 1743820416 1745143296 1761985212 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5235429888 5285955636 5338085376 5558427576 5564702208 5671715712 5673814016 5782925824 5892037632 6005346048 6028427392 6081014784 6144358688 6260289984 6380680176 6383040768 6438721536 6505791552 6587766016 6712063488 6781980816 6841141632 6912403524 6975281664 6980573184 7047940848 7411236768 7419602944 7488437151 7562287616 7704972288 7853144832 7928933454 8007128064 8347053312 8419866624 8507573568 8510721024 8674388736 8949417984 9042641088 9121522176 9216538032 9300375552 9397254464 9574561152 9758687328 9881649024 9984582868 10172971224 10368605286 10462922496 10470859776 10571911272 11116855152 11129404416 11343431424 11565851648 11784075264 12010692096 12056854784 12162029568 12288717376 12520579968 12761360352 12766081536 13011583104 13175532032 13424126976 13563961632 13682283264 13824807048 13950563328 14095881696 14822473536 14976874302 15124575232 15409944576 15706289664 15857866908 16014256128 16694106624 17015147136 17021442048 17348777472 18085282176 18243044352 18433076064 18794508928 19149122304 19517374656 19763298048 19969165736 20345942448 20737210572 20925844992 20941719552 21143822544 22233710304 22258808832 22465311453 22686862848 23131703296 24021384192 24113709568 24577434752 25041159936 25522720704 25532163072 26023166208 26351064064 26848253952 27127923264 27364566528 27649614096 27901126656 28191763392 29644947072 29953748604 30249150464 31412579328 31715733816 33388213248 34030294272 34697554944 36170564352 36486088704 36866152128 37589017856 38298244608 39034749312 39526596096 39938331472 40691884896 41474421144 41851689984 42287645088 44467420608 44930622906 45373725696 48042768384 48227419136 49154869504 50082319872 51045441408 51064326144 52046332416 52702128128 54255846528 54729133056 55299228192 56383526784 59289894144 59907497208 62825158656 63431467632 66776426496 67395934359 68060588544 69395109888 72341128704 73732304256 75178035712 76596489216 78069498624 79053192192 79876662944 81383769792 82948842288 83703379968 84575290176 88934841216 89861245812 90747451392 96454838272 98309739008 100164639744 102090882816 104092664832 108511693056 109458266112 110598456384 112767053568 118579788288 119814994416 126862935264 134791868718 136121177088 144682257408 147464608512 150356071424 153192978432 156138997248 158106384384 159753325888 162767539584 165897684576 169150580352 177869682432 179722491624 196619478016 200329279488 204181765632 208185329664 217023386112 221196912768 225534107136 237159576576 239629988832 253725870528 269583737436 272242354176 289364514816 294929217024 300712142848 312277994496 319506651776 325535079168 331795369152 338301160704 355739364864 359444983248 393238956032 408363531264 434046772224 442393825536 451068214272 474319153152 479259977664 507451741056 539167474872 589858434048 624555988992 639013303552 651070158336 663590738304 676602321408 711478729728 718889966496 816727062528 868093544448 884787651072 902136428544 958519955328 1014903482112 1078334949744 1179716868096 1278026607104 1302140316672 1327181476608 1353204642816 1422957459456 1437779932992 1769575302144 1917039910656 2029806964224 2156669899488 2556053214208 2604280633344 2654362953216 2706409285632 2875559865984 3539150604288 3834079821312 4059613928448 4313339798976 5112106428416 5308725906432 5751119731968 7668159642624 8119227856896 8626679597952 10617451812864 11502239463936 15336319285248 17253359195904 23004478927872 34506718391808 46008957855744 69013436783616 138026873567232
- Sum of all divisors σ(n): 482770343764800
- Sum of proper divisors (its aliquot sum) s(n): 344743470197568
- 138026873567232 is an abundant number, because the sum of its proper divisors (344743470197568) is greater than itself. Its abundance is 206716596630336
Bases of 138026873567232
- Binary: 111110110001000111000101100010010111000000000002
- Hexadecimal: 0x7D88E2C4B800
- Base-36: 1CXCO4RUO0
Squares and roots of 138026873567232
- 138026873567232 squared (1380268735672322) is 19051417826744647772824141824
- 138026873567232 cubed (1380268735672323) is 2629607639648593338269350720349819967111168
-
The
square root of 138026873567232 is 11748483.8837712161 -
The
cube root of 138026873567232 is 51679.8467303043
Scales and comparisons
How big is 138026873567232?- 138,026,873,567,232 seconds is equal to 4,388,827 years, 32 weeks, 6 days, 21 hours, 7 minutes, 12 seconds.
-
To count from 1 to 138,026,873,567,232 would take you about ten million, nine hundred seventy-two thousand and sixty-nine 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 138026873567232 cubic inches would be around 4306.7 feet tall.
Recreational maths with 138026873567232
- 138026873567232 backwards is 232765378620831
- The number of decimal digits it has is: 15
- The sum of 138026873567232's digits is 63
- More coming soon!
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"Number 138026873567232 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 138026873567232 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/138026873567232/
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The information we have on file for 138026873567232 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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