138745688145966315
138,745,688,145,966,315 is an odd composite number composed of five prime numbers multiplied together.
What does the number 138745688145966315 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 672 divisors.
138745688145966315 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 138745688145966315:
36 × 5 × 193 × 373 × 3312
(3 × 3 × 3 × 3 × 3 × 3 × 5 × 19 × 19 × 19 × 37 × 37 × 37 × 331 × 331)See below for interesting mathematical facts about the number 138745688145966315 from the Numbermatics database.
Names of 138745688145966315
- Cardinal: 138745688145966315 can be written as One hundred thirty-eight quadrillion, seven hundred forty-five trillion, six hundred eighty-eight billion, one hundred forty-five million, nine hundred sixty-six thousand, three hundred fifteen.
Scientific notation
- Scientific notation: 1.38745688145966315 × 1017
Factors of 138745688145966315
Divisors of 138745688145966315
- Number of divisors d(n): 672
-
Complete list of divisors:
1 3 5 9 15 19 27 37 45 57 81 95 111 135 171 185 243 285 331 333 361 405 513 555 703 729 855 993 999 1083 1215 1369 1539 1655 1665 1805 2109 2565 2979 2997 3249 3515 3645 4107 4617 4965 4995 5415 6289 6327 6845 6859 7695 8937 8991 9747 10545 12247 12321 13357 13851 14895 14985 16245 18867 18981 20535 20577 23085 26011 26811 26973 29241 31445 31635 34295 36741 36963 40071 44685 44955 48735 50653 56601 56943 61235 61605 61731 66785 69255 78033 80433 87723 94335 94905 102885 109561 110223 110889 119491 120213 130055 134055 134865 146205 151959 169803 170829 183705 184815 185193 200355 232693 234099 241299 253265 253783 263169 283005 284715 308655 328683 330669 332667 358473 360639 390165 402165 438615 453139 455877 494209 509409 512487 547805 551115 554445 555579 597455 601065 698079 702297 759795 761349 849015 854145 925965 962407 986049 992007 998001 1075419 1081917 1163465 1170495 1206495 1268915 1315845 1359417 1367631 1482627 1528227 1643415 1653345 1663335 1666737 1792365 1803195 2081659 2094237 2106891 2265695 2270329 2279385 2284047 2471045 2547045 2562435 2777895 2887221 2958147 2976021 3226257 3245751 3490395 3511485 3806745 4053757 4078251 4102893 4421167 4447881 4584681 4812035 4930245 4960035 4990005 5000211 5377095 5409585 6244977 6282711 6320673 6797085 6810987 6838155 6852141 7413135 7641135 8333685 8609641 8661663 8874441 8928063 9389971 9678771 9737253 10408295 10471185 10534455 11351645 11420235 12161271 12234753 12308679 13263501 13343643 14436105 14790735 14880105 16131285 16228755 16766143 18285733 18734931 18848133 18962019 20268785 20391255 20432961 20514465 20556423 22105835 22239405 22923405 25001055 25828923 25984989 26623323 28169913 29036313 31224885 31413555 31603365 34054935 34260705 36483813 36704259 36926037 39551521 39790503 40030929 43048205 43308315 44372205 44640315 46949855 48393855 48686265 50298429 54857199 56204793 56544399 60806355 61173765 61298883 61543395 61669269 66317505 66718215 77021383 77486769 77954967 79869969 83830715 84002173 84509739 87108939 91428665 93674655 94240665 94810095 102164805 102782115 109451439 110112777 118654563 119371509 120092787 129144615 129924945 133116615 140849565 145181565 149989009 150895287 163583179 164571597 168614379 169633197 182419065 183521295 183896649 184630185 185007807 197757605 198952515 200154645 231064149 232460307 233864901 251492145 252006519 253529217 274285995 281023965 282721995 306494415 308346345 318556717 328354317 330338331 347428927 355963689 358114527 360278361 385106915 387433845 389774835 399349845 420010865 422548695 435544695 449967027 452685861 490749537 493714791 505843137 547257195 550563885 551689947 593272815 596857545 600463935 693192447 697380921 701594703 749945045 751478899 754476435 756019557 760587651 817915895 822857985 843071895 848165985 919483245 925039035 955670151 985062951 1042286781 1067891067 1074343581 1155320745 1162301535 1169324505 1260032595 1267646085 1349901081 1358057583 1463406277 1472248611 1481144373 1517529411 1592783585 1641771585 1651691655 1655069841 1737144635 1779818445 1790572635 1801391805 2079577341 2092142763 2249835135 2254436697 2263429305 2268058671 2281762953 2453747685 2468573955 2529215685 2758449735 2849791171 2867010453 2955188853 3108080401 3126860343 3203673201 3223030743 3465962235 3486904605 3507973515 3757394495 3780097785 3802938255 4049703243 4074172749 4390218831 4416745833 4443433119 4778350755 4925314755 5211433905 5339455335 5371717905 5549593333 6052577623 6238732023 6276428289 6749505405 6763310091 6790287915 6804176013 6845288859 7317031385 7361243055 7405721865 7587647055 8275349205 8549373513 8601031359 9324241203 9380581029 9611019603 10397886705 10460713815 11272183485 11340293355 11408814765 12149109729 12222518247 13170656493 13250237499 13330299357 14248955855 14335052265 14775944265 15540402005 15634301715 16018366005 16115153715 16648779999 18157732869 18716196069 20248516215 20289930273 20370863745 20412528039 21951094155 22083729165 22217165595 25648120539 25803094077 27747966665 27804719263 27972723609 28141743087 28833058809 30262888115 31193660115 31382141445 33816550455 34020880065 34226444295 36447329187 39511969479 39750712497 42746867565 43005156795 46621206015 46902905145 48055098015 49946339997 54146032249 54473198607 56148588207 60745548645 60869790819 61112591235 61237584117 65853282465 66251187495 66651496785 76944361617 77409282231 83243899995 83414157789 83918170827 84425229261 90788664345 93580980345 101449651365 102062640195 105442273327 109341987561 114998974837 118535908437 119252137491 128240602695 129015470385 139023596315 139863618045 140708715435 144165294045 149839019991 162438096747 163419595821 182236645935 182609372457 197559847395 198753562485 230833084851 232227846693 249731699985 250242473367 251754512481 253275687783 270730161245 272365993035 280742941035 304348954095 306187920585 316326819981 344996924511 355607725311 384721808085 387046411155 417070788945 419590854135 422126146305 449517059973 487314290241 490258787463 527211366635 546709937805 547828117371 574994874185 592679542185 596260687455 692499254553 749195099955 750727420101 755263537443 812190483735 817097979105 913046862285 948980459943 1028774612731 1034990773533 1066823175933 1154165424255 1161139233465 1251212366835 1258772562405 1266378438915 1348551179919 1461942870723 1470776362389 1581634099905 1724984622555 1778038626555 2003403193213 2077497763659 2247585299865 2252182260303 2265790612329 2436571451205 2451293937315 2739140586855 2846941379829 3086323838193 3104972320599 3462496272765 3753637100505 3776317687215 4045653539757 4385828612169 4412329087167 4744902299715 5143873063655 5174953867665 5334115879665 6010209579639 6742755899595 6756546780909 7309714353615 7353881811945 8540824139487 9258971514579 9314916961797 10017015966065 10387488818295 11260911301515 11328953061645 13157485836507 14234706899145 15431619190965 15524861602995 18030628738917 20228267698785 20269640342727 21929143060845 22061645435835 25622472418461 27776914543737 27944750885391 30051047898195 33782733904545 38064660671047 39472457509521 42704120697435 46294857572895 46574584808985 54091886216751 65787429182535 76867417255383 83330743631211 83834252656173 90153143694585 101348201713635 114193982013141 128112362092305 138884572718685 139723754426955 162275658650253 190323303355235 197362287547605 249992230893633 270459431083755 342581946039423 384337086276915 416653718156055 419171263280865 486826975950759 570969910065705 749976692680899 811378293251265 1027745838118269 1249961154468165 1460480927852277 1712909730197115 2434134879753795 3083237514354807 3749883463404495 5138729190591345 7302404639261385 9249712543064421 15416187571774035 27749137629193263 46248562715322105 138745688145966315
- Sum of all divisors σ(n): 271634026776033600
- Sum of proper divisors (its aliquot sum) s(n): 132888338630067285
- 138745688145966315 is a deficient number, because the sum of its proper divisors (132888338630067285) is less than itself. Its deficiency is 5857349515899030
Bases of 138745688145966315
- Binary: 1111011001110110001110111111000000000111010110100111010112
- Hexadecimal: 0x1ECEC77E00EB4EB
- Base-36: 11Y58P7ILJOR
Squares and roots of 138745688145966315
- 138745688145966315 squared (1387456881459663152) is 19250365979097737620305605114679225
- 138745688145966315 cubed (1387456881459663153) is 2670905274831614209743047737165366324366678880305875
-
The
square root of 138745688145966315 is 372485822.7449285283 -
The
cube root of 138745688145966315 is 517694.0399196827
Scales and comparisons
How big is 138745688145966315?- 138,745,688,145,966,315 seconds is equal to 4,411,683,714 years, 23 weeks, 2 days, 19 hours, 5 minutes, 15 seconds.
-
To count from 1 to 138,745,688,145,966,315 would take you about thirteen billion, two hundred thirty-five million, fifty-one thousand, one hundred forty-three 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 138745688145966315 cubic inches would be around 43141.2 feet tall.
Recreational maths with 138745688145966315
- 138745688145966315 backwards is 513669541886547831
- The number of decimal digits it has is: 18
- The sum of 138745688145966315's digits is 90
- More coming soon!
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The information we have on file for 138745688145966315 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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