138733809205248
138,733,809,205,248 is an even composite number composed of four prime numbers multiplied together.
138733809205248 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138733809205248:
215 × 38 × 432 × 349
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 43 × 43 × 349)See below for interesting mathematical facts about the number 138733809205248 from the Numbermatics database.
Names of 138733809205248
- Cardinal: 138733809205248 can be written as One hundred thirty-eight trillion, seven hundred thirty-three billion, eight hundred nine million, two hundred five thousand, two hundred forty-eight.
Scientific notation
- Scientific notation: 1.38733809205248 × 1014
Factors of 138733809205248
Divisors of 138733809205248
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 81 86 96 108 128 129 144 162 172 192 216 243 256 258 288 324 344 349 384 387 432 486 512 516 576 648 688 698 729 768 774 864 972 1024 1032 1047 1152 1161 1296 1376 1396 1458 1536 1548 1728 1849 1944 2048 2064 2094 2187 2304 2322 2592 2752 2792 2916 3072 3096 3141 3456 3483 3698 3888 4096 4128 4188 4374 4608 4644 5184 5504 5547 5584 5832 6144 6192 6282 6561 6912 6966 7396 7776 8192 8256 8376 8748 9216 9288 9423 10368 10449 11008 11094 11168 11664 12288 12384 12564 13122 13824 13932 14792 15007 15552 16384 16512 16641 16752 17496 18432 18576 18846 20736 20898 22016 22188 22336 23328 24576 24768 25128 26244 27648 27864 28269 29584 30014 31104 31347 32768 33024 33282 33504 34992 36864 37152 37692 41472 41796 44032 44376 44672 45021 46656 49152 49536 49923 50256 52488 55296 55728 56538 59168 60028 62208 62694 66048 66564 67008 69984 73728 74304 75384 82944 83592 84807 88064 88752 89344 90042 93312 94041 98304 99072 99846 100512 104976 110592 111456 113076 118336 120056 124416 125388 132096 133128 134016 135063 139968 147456 148608 149769 150768 165888 167184 169614 176128 177504 178688 180084 186624 188082 198144 199692 201024 209952 221184 222912 226152 236672 240112 248832 250776 254421 264192 266256 268032 270126 279936 282123 294912 297216 299538 301536 331776 334368 339228 352256 355008 357376 360168 373248 376164 396288 399384 402048 405189 419904 442368 445824 449307 452304 473344 480224 497664 501552 508842 528384 532512 536064 540252 559872 564246 594432 599076 603072 645301 663552 668736 678456 704512 710016 714752 720336 746496 752328 763263 792576 798768 804096 810378 839808 884736 891648 898614 904608 946688 960448 995328 1003104 1017684 1056768 1065024 1072128 1080504 1119744 1128492 1188864 1198152 1206144 1215567 1290602 1327104 1337472 1347921 1356912 1409024 1420032 1429504 1440672 1492992 1504656 1526526 1585152 1597536 1608192 1620756 1679616 1783296 1797228 1809216 1893376 1920896 1935903 1990656 2006208 2035368 2113536 2130048 2144256 2161008 2239488 2256984 2289789 2377728 2396304 2412288 2431134 2581204 2654208 2674944 2695842 2713824 2840064 2859008 2881344 2985984 3009312 3053052 3170304 3195072 3216384 3241512 3359232 3566592 3594456 3618432 3646701 3786752 3841792 3871806 3981312 4012416 4043763 4070736 4227072 4260096 4288512 4322016 4478976 4513968 4579578 4755456 4792608 4824576 4862268 5162408 5349888 5391684 5427648 5680128 5718016 5762688 5807709 5971968 6018624 6106104 6340608 6390144 6432768 6483024 6718464 7133184 7188912 7236864 7293402 7573504 7683584 7743612 7962624 8024832 8087526 8141472 8520192 8577024 8644032 8957952 9027936 9159156 9510912 9585216 9649152 9724536 10324816 10699776 10783368 10855296 10940103 11360256 11436032 11525376 11615418 11943936 12037248 12131289 12212208 12681216 12780288 12865536 12966048 13436928 14266368 14377824 14473728 14586804 15147008 15367168 15487224 16049664 16175052 16282944 17040384 17154048 17288064 17423127 17915904 18055872 18318312 19021824 19170432 19298304 19449072 20649632 21399552 21566736 21710592 21880206 22720512 23050752 23230836 23887872 24074496 24262578 24424416 25560576 25731072 25932096 26873856 28532736 28755648 28947456 29173608 30294016 30734336 30974448 32099328 32350104 32565888 32820309 34080768 34308096 34576128 34846254 35831808 36111744 36636624 38043648 38340864 38596608 38898144 41299264 42799104 43133472 43421184 43760412 45441024 46101504 46461672 48148992 48525156 48848832 51121152 51462144 51864192 52269381 53747712 57065472 57511296 57894912 58347216 60588032 61468672 61948896 64198656 64700208 65131776 65640618 68161536 69152256 69692508 71663616 72223488 73273248 76681728 77193216 77796288 82598528 85598208 86266944 86842368 87520824 90882048 92203008 92923344 96297984 97050312 97697664 98460927 102242304 102924288 103728384 104538762 107495424 114130944 115022592 115789824 116694432 122937344 123897792 128397312 129400416 130263552 131281236 136323072 138304512 139385016 144446976 146546496 153363456 154386432 155592576 156808143 165197056 171196416 172533888 173684736 175041648 181764096 184406016 185846688 192595968 194100624 195395328 196921854 204484608 207456768 209077524 214990848 230045184 231579648 233388864 245874688 247795584 256794624 258800832 260527104 262562472 272646144 276609024 278770032 288893952 293092992 306726912 308772864 311185152 313616286 330394112 342392832 345067776 347369472 350083296 368812032 371693376 385191936 388201248 390790656 393843708 408969216 414913536 418155048 460090368 463159296 466777728 470424429 491749376 495591168 513589248 517601664 521054208 525124944 545292288 553218048 557540064 577787904 586185984 613453824 622370304 627232572 660788224 690135552 694738944 700166592 737624064 743386752 770383872 776402496 781581312 787687416 817938432 829827072 836310096 920180736 926318592 933555456 940848858 991182336 1027178496 1035203328 1042108416 1050249888 1106436096 1115080128 1155575808 1172371968 1226907648 1244740608 1254465144 1321576448 1380271104 1389477888 1400333184 1411273287 1475248128 1486773504 1540767744 1552804992 1563162624 1575374832 1635876864 1659654144 1672620192 1840361472 1867110912 1881697716 1982364672 2070406656 2084216832 2100499776 2212872192 2230160256 2311151616 2344743936 2453815296 2489481216 2508930288 2643152896 2760542208 2778955776 2800666368 2822546574 2973547008 3081535488 3105609984 3126325248 3150749664 3319308288 3345240384 3680722944 3734221824 3763395432 3964729344 4140813312 4168433664 4200999552 4233819861 4425744384 4460320512 4622303232 4689487872 4907630592 4978962432 5017860576 5286305792 5521084416 5601332736 5645093148 5947094016 6211219968 6252650496 6301499328 6638616576 6690480768 7361445888 7468443648 7526790864 7929458688 8281626624 8336867328 8401999104 8467639722 8920641024 9244606464 9378975744 9957924864 10035721152 10572611584 11042168832 11202665472 11290186296 11894188032 12422439936 12505300992 12602998656 13277233152 13380961536 14722891776 14936887296 15053581728 15858917376 16563253248 16803998208 16935279444 17841282048 18757951488 19915849728 20071442304 21145223168 22084337664 22405330944 22580372592 23788376064 24844879872 25010601984 25205997312 26761923072 29873774592 30107163456 31717834752 33126506496 33607996416 33870558888 35682564096 37515902976 39831699456 40142884608 44168675328 44810661888 45160745184 47576752128 49689759744 50411994624 53523846144 59747549184 60214326912 63435669504 66253012992 67215992832 67741117776 71365128192 75031805952 80285769216 89621323776 90321490368 95153504256 99379519488 100823989248 107047692288 119495098368 120428653824 132506025984 134431985664 135482235552 142730256384 160571538432 179242647552 180642980736 190307008512 198759038976 201647978496 214095384576 240857307648 268863971328 270964471104 285460512768 321143076864 358485295104 361285961472 397518077952 403295956992 428190769152 481714615296 537727942656 541928942208 570921025536 642286153728 722571922944 806591913984 856381538304 963429230592 1075455885312 1083857884416 1284572307456 1445143845888 1613183827968 1712763076608 1926858461184 2167715768832 2569144614912 2890287691776 3226367655936 3853716922368 4335431537664 5138289229824 5780575383552 7707433844736 8670863075328 11561150767104 15414867689472 17341726150656 23122301534208 34683452301312 46244603068416 69366904602624 138733809205248
- Sum of all divisors σ(n): 427298328434250
- Sum of proper divisors (its aliquot sum) s(n): 288564519229002
- 138733809205248 is an abundant number, because the sum of its proper divisors (288564519229002) is greater than itself. Its abundance is 149830710023754
Bases of 138733809205248
- Binary: 111111000101101011110110110101010000000000000002
- Hexadecimal: 0x7E2D7B6A8000
- Base-36: 1D6DFK0000
Squares and roots of 138733809205248
- 138733809205248 squared (1387338092052482) is 19247069816598154701390741504
- 138733809205248 cubed (1387338092052483) is 2670219311696016009812333222335355648212992
-
The
square root of 138733809205248 is 11778531.7083772373 -
The
cube root of 138733809205248 is 51767.9265088587
Scales and comparisons
How big is 138733809205248?- 138,733,809,205,248 seconds is equal to 4,411,306 years, 7 hours, 40 minutes, 48 seconds.
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To count from 1 to 138,733,809,205,248 would take you about eleven million, twenty-eight thousand, two hundred sixty-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 138733809205248 cubic inches would be around 4314 feet tall.
Recreational maths with 138733809205248
- 138733809205248 backwards is 842502908337831
- The number of decimal digits it has is: 15
- The sum of 138733809205248's digits is 63
- More coming soon!
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"Number 138733809205248 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 138733809205248 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/138733809205248/
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The information we have on file for 138733809205248 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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