138415318998264
138,415,318,998,264 is an even composite number composed of five prime numbers multiplied together.
What does the number 138415318998264 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
138415318998264 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138415318998264:
23 × 35 × 72 × 112 × 2293
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 11 × 11 × 229 × 229 × 229)See below for interesting mathematical facts about the number 138415318998264 from the Numbermatics database.
Names of 138415318998264
- Cardinal: 138415318998264 can be written as One hundred thirty-eight trillion, four hundred fifteen billion, three hundred eighteen million, nine hundred ninety-eight thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 1.38415318998264 × 1014
Factors of 138415318998264
Divisors of 138415318998264
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 49 54 56 63 66 72 77 81 84 88 98 99 108 121 126 132 147 154 162 168 189 196 198 216 229 231 242 243 252 264 294 297 308 324 363 378 392 396 441 458 462 484 486 504 539 567 588 594 616 648 687 693 726 756 792 847 882 891 916 924 968 972 1078 1089 1134 1176 1188 1323 1374 1386 1452 1512 1603 1617 1694 1701 1764 1782 1832 1848 1944 2061 2079 2156 2178 2268 2376 2519 2541 2646 2673 2748 2772 2904 3206 3234 3267 3388 3402 3528 3564 3969 4122 4158 4312 4356 4536 4809 4851 5038 5082 5292 5346 5496 5544 5929 6183 6237 6412 6468 6534 6776 6804 7128 7557 7623 7938 8244 8316 8712 9618 9702 9801 10076 10164 10584 10692 11221 11858 11907 12366 12474 12824 12936 13068 13608 14427 14553 15114 15246 15876 16488 16632 17633 17787 18549 18711 19236 19404 19602 20152 20328 21384 22442 22671 22869 23716 23814 24732 24948 26136 27709 28854 29106 29403 30228 30492 31752 33663 35266 35574 37098 37422 38472 38808 39204 43281 43659 44884 45342 45738 47432 47628 49464 49896 52441 52899 53361 55418 55647 57708 58212 58806 60456 60984 67326 68013 68607 70532 71148 74196 74844 78408 83127 86562 87318 89768 90684 91476 95256 100989 104882 105798 106722 110836 111294 115416 116424 117612 123431 129843 130977 134652 136026 137214 141064 142296 148392 149688 157323 158697 160083 166254 173124 174636 181368 182952 193963 201978 204039 205821 209764 211596 213444 221672 222588 235224 246862 249381 259686 261954 269304 272052 274428 302967 314646 317394 320166 332508 346248 349272 367087 370293 387926 389529 403956 408078 411642 419528 423192 426888 445176 471969 476091 480249 493724 498762 519372 523908 544104 548856 576851 581889 605934 612117 629292 634788 640332 665016 734174 740586 748143 775852 779058 807912 816156 823284 908901 943938 952182 960498 987448 997524 1038744 1047816 1101261 1110879 1153702 1163778 1211868 1224234 1258584 1269576 1280664 1357741 1415907 1428273 1440747 1468348 1481172 1496286 1551704 1558116 1632312 1646568 1730553 1745667 1817802 1887876 1904364 1920996 1995048 2202522 2221758 2244429 2307404 2327556 2423736 2448468 2569609 2715482 2726703 2831814 2856546 2881494 2936696 2962344 2992572 3116232 3303783 3332637 3461106 3491334 3635604 3775752 3808728 3841992 4037957 4073223 4247721 4284819 4405044 4443516 4488858 4614808 4655112 4896936 5139218 5191659 5237001 5430964 5453406 5663628 5713092 5762988 5985144 6345361 6607566 6665274 6733287 6922212 6982668 7271208 7708827 8075914 8146446 8495442 8569638 8810088 8887032 8977716 9911349 9997911 10278436 10383318 10474002 10861928 10906812 11327256 11426184 11525976 12008989 12113871 12219669 12690722 12743163 13215132 13330548 13466574 13844424 13965336 15417654 15574977 15711003 16151828 16292892 16990884 17139276 17955432 19036083 19822698 19995822 20556872 20766636 20948004 21813624 23126481 24017978 24227742 24439338 25381444 25486326 26430264 26661096 26933148 28265699 29734047 29993733 30835308 31149954 31422006 32303656 32585784 33981768 34278552 36026967 36341613 36659007 38072166 39645396 39991644 41533272 41896008 44417527 46252962 46724931 47133009 48035956 48455484 48878676 50762888 50972652 53866296 56531398 57108249 59468094 59987466 61670616 62299908 62844012 69379443 72053934 72683226 73318014 76144332 79290792 79983288 84062923 84797097 88835054 89202141 92505924 93449862 94266018 96071912 96910968 97757352 101945304 108080901 109024839 109977021 113062796 114216498 118936188 119974932 124599816 125688024 132098879 133252581 138758886 140174793 144107868 145366452 146636028 152288664 168125846 169594194 171324747 177670108 178404282 185011848 186899724 188532036 208138329 216161802 218049678 219954042 226125592 228432996 237872376 239949864 252188769 254391291 264197758 266505162 277517772 280349586 288215736 290732904 293272056 310922689 324242703 327074517 329931063 336251692 339188388 342649494 355340216 356808564 373799448 377064072 396296637 399757743 416276658 432323604 436099356 439908084 456865992 504377538 508782582 513974241 528395516 533010324 555035544 560699172 588440461 621845378 624414987 648485406 654149034 659862126 672503384 678376776 685298988 713617128 756566307 763173873 792593274 799515486 832553316 864647208 872198712 879816168 924692153 932768067 972728109 981223551 1008755076 1017565164 1027948482 1056791032 1066020648 1121398344 1176880922 1188889911 1199273229 1243690756 1248829974 1296970812 1308298068 1319724252 1370597976 1453087669 1513132614 1526347746 1541922723 1585186548 1599030972 1665106632 1765321383 1849384306 1865536134 1945456218 1962447102 2017510152 2035130328 2055896964 2269698921 2289521619 2353761844 2377779822 2398546458 2487381512 2497659948 2593941624 2616596136 2639448504 2774076459 2798304201 2906175338 2918184327 3026265228 3052695492 3083845446 3170373096 3198061944 3530642766 3566669733 3597819687 3698768612 3731072268 3890912436 3924894204 4111793928 4359263007 4539397842 4579043238 4707523688 4755559644 4797092916 4995319896 5295964149 5548152918 5596608402 5812350676 5836368654 6052530456 6105390984 6167690892 6472845071 6809096763 6868564857 7061285532 7133339466 7195639374 7397537224 7462144536 7781824872 7849788408 8322229377 8394912603 8718526014 9078795684 9158086476 9511119288 9594185832 10171613683 10591928298 10700009199 10793459061 11096305836 11193216804 11624701352 11672737308 12335381784 12945690142 13077789021 13618193526 13737129714 14122571064 14266678932 14391278748 15887892447 16644458754 16789825206 17437052028 18157591368 18316172952 19418535213 20343227366 20427290289 21183856596 21400018398 21586918122 22192611672 22386433608 23345474616 24966688131 25184737809 25891380284 26155578042 27236387052 27474259428 28533357864 28782557496 30514841049 31775784894 32100027597 33288917508 33579650412 34874104056 38837070426 39233367063 40686454732 40854580578 42367713192 42800036796 43173836244 47663677341 49933376262 50369475618 51782760568 52311156084 54472774104 54948518856 58255605639 61029682098 63551569788 64200055194 66577835016 67159300824 71201295781 74900064393 75554213427 77674140852 78466734126 81372909464 81709161156 85600073592 86347672488 91544523147 95327354682 99866752524 100738951236 104622312168 116511211278 117700101189 122059364196 127103139576 128400110388 142402591562 142991032023 149800128786 151108426854 155348281704 156933468252 163418322312 174766816917 183089046294 190654709364 199733505048 201477902472 213603887343 224700193179 233022422556 235400202378 244118728392 256800220776 274633569441 284805183124 285982064046 299600257572 302216853708 313866936504 349533633834 353100303567 366178092588 381309418728 427207774686 449400386358 466044845112 470800404756 524300450751 549267138882 569610366248 571964128092 599200515144 604433707416 640811662029 699067267668 706200607134 732356185176 823900708323 854415549372 898800772716 941600809512 1048600901502 1098534277764 1143928256184 1281623324058 1398134535336 1412401214268 1572901352253 1647801416646 1708831098744 1797601545432 1922434986087 2097201803004 2197068555528 2471702124969 2563246648116 2824802428536 3145802704506 3295602833292 3844869972174 4194403606008 4943404249938 5126493296232 5767304958261 6291605409012 6591205666584 7689739944348 9886808499876 11534609916522 12583210818024 15379479888696 17301914874783 19773616999752 23069219833044 34603829749566 46138439666088 69207659499132 138415318998264
- Sum of all divisors σ(n): 499259366751600
- Sum of proper divisors (its aliquot sum) s(n): 360844047753336
- 138415318998264 is an abundant number, because the sum of its proper divisors (360844047753336) is greater than itself. Its abundance is 222428728755072
Bases of 138415318998264
- Binary: 111110111100011010100111110101110011100111110002
- Hexadecimal: 0x7DE353EB9CF8
- Base-36: 1D2B4B5JI0
Squares and roots of 138415318998264
- 138415318998264 squared (1384153189982642) is 19158800533391183012435013696
- 138415318998264 cubed (1384153189982643) is 2651871487453451070727606293791621840223744
-
The
square root of 138415318998264 is 11765003.9948256711 -
The
cube root of 138415318998264 is 51728.2817372299
Scales and comparisons
How big is 138415318998264?- 138,415,318,998,264 seconds is equal to 4,401,178 years, 51 weeks, 6 days, 1 hour, 44 minutes, 24 seconds.
-
To count from 1 to 138,415,318,998,264 would take you about eleven million, two thousand, nine hundred forty-seven 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 138415318998264 cubic inches would be around 4310.7 feet tall.
Recreational maths with 138415318998264
- 138415318998264 backwards is 462899813514831
- 138415318998264 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138415318998264's digits is 72
- More coming soon!
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The information we have on file for 138415318998264 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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