138371003525664
138,371,003,525,664 is an even composite number composed of six prime numbers multiplied together.
What does the number 138371003525664 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
138371003525664 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138371003525664:
25 × 35 × 74 × 13 × 672 × 127
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 7 × 13 × 67 × 67 × 127)See below for interesting mathematical facts about the number 138371003525664 from the Numbermatics database.
Names of 138371003525664
- Cardinal: 138371003525664 can be written as One hundred thirty-eight trillion, three hundred seventy-one billion, three million, five hundred twenty-five thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.38371003525664 × 1014
Factors of 138371003525664
Divisors of 138371003525664
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 49 52 54 56 63 67 72 78 81 84 91 96 98 104 108 112 117 126 127 134 144 147 156 162 168 182 189 196 201 208 216 224 234 243 252 254 268 273 288 294 312 324 336 343 351 364 378 381 392 402 416 432 441 468 469 486 504 508 536 546 567 588 603 624 637 648 672 686 702 728 756 762 784 804 819 864 871 882 889 936 938 972 1008 1016 1029 1053 1072 1092 1134 1143 1176 1206 1248 1274 1296 1323 1372 1404 1407 1456 1512 1524 1568 1608 1638 1651 1701 1742 1764 1778 1809 1872 1876 1911 1944 2016 2032 2058 2106 2144 2184 2268 2286 2352 2401 2412 2457 2548 2592 2613 2646 2667 2744 2808 2814 2912 3024 3048 3087 3159 3216 3276 3283 3302 3402 3429 3484 3528 3556 3618 3744 3752 3822 3888 3969 4064 4116 4212 4221 4368 4459 4489 4536 4572 4704 4802 4824 4914 4953 5096 5226 5292 5334 5427 5488 5616 5628 5733 6048 6096 6097 6174 6223 6318 6432 6552 6566 6604 6804 6858 6968 7056 7112 7203 7236 7371 7504 7644 7776 7839 7938 8001 8232 8424 8442 8509 8736 8918 8978 9072 9144 9261 9604 9648 9828 9849 9906 10192 10287 10452 10584 10668 10854 10976 11232 11256 11466 11557 11907 12192 12194 12348 12446 12636 12663 13104 13132 13208 13377 13467 13608 13716 13936 14112 14224 14406 14472 14742 14859 15008 15288 15678 15876 16002 16281 16464 16848 16884 17018 17199 17836 17956 18144 18288 18291 18522 18669 19208 19296 19656 19698 19812 20384 20574 20904 21168 21336 21609 21708 22113 22512 22932 22981 23114 23517 23814 24003 24388 24696 24892 25272 25326 25527 26208 26264 26416 26754 26934 27216 27432 27783 27872 28448 28812 28944 29484 29547 29718 30576 30861 31213 31356 31423 31752 32004 32562 32928 33696 33768 34036 34398 34671 35672 35912 36576 36582 37044 37338 37989 38416 39312 39396 39624 40131 40401 41148 41808 42336 42672 42679 43218 43416 43561 44226 44577 45024 45864 45962 46228 47034 47628 48006 48776 49392 49784 50544 50652 51054 51597 52528 52832 53508 53868 54432 54864 54873 55566 56007 57624 57888 58357 58968 59094 59436 59563 61152 61722 62426 62712 62846 63504 64008 64827 65124 67536 68072 68796 68943 69342 70551 71344 71824 72009 73164 74088 74676 75978 76581 76832 78624 78792 79248 80262 80802 80899 82296 83349 83616 85344 85358 86436 86832 87122 88452 88641 89154 91728 91924 92456 93639 94068 94269 95256 96012 97552 98784 99568 101088 101304 102108 103194 104013 105056 107016 107736 109728 109746 110617 111132 112014 113967 115248 116714 117936 118188 118872 119126 120393 121203 123444 124852 125424 125692 127008 128016 128037 129654 130248 130683 133731 135072 136144 137592 137886 138684 141102 142688 143648 144018 146328 148176 149352 151956 153162 154791 157584 158496 160524 160867 161604 161798 164592 164619 166698 168021 170716 172872 173664 174244 175071 176904 177282 178308 178689 183456 183848 184912 187278 188136 188538 190512 192024 194481 195104 199136 202608 204216 206388 206829 208026 211653 214032 215472 216027 219492 219961 221234 222264 224028 227934 229743 230496 233428 235872 236376 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533616408 540355536 540444177 550436796 551612943 554140116 560460628 570138912 570823344 574663824 580775832 582016806 585385164 586635987 592778088 600318459 602286048 607066096 617650488 622552476 625450896 629070624 630414792 640526432 642176262 646496802 653763488 665162064 669011616 670441128 677571804 682949358 694856799 709216641 711488544 720592236 726311222 733915728 735483924 738853488 748307322 752638068 754246269 774367776 776022408 780513552 782181316 790370784 794122056 796774251 800424612 810533304 823533984 830069968 840553056 840690942 855208368 856235016 860157792 861995736 873025209 878077746 893921504 903429072 910599144 926475732 933828714 945622188 960789648 963264393 969745203 980645232 997743096 1003517424 1005661692 1016357706 1024424037 1034696544 1058829408 1062365668 1067232816 1080711072 1080888354 1089466833 1100873592 1103225886 1108280232 1120921256 1141646688 1149327648 1161551664 1164033612 1170770328 1173271974 1185556176 1200636918 1214132192 1235300976 1245104952 1250901792 1260829584 1261036413 1284352524 1292993604 1317116619 1330324128 1340882256 1355143608 1365898716 1368817303 1389713598 1400743071 1418433282 1441184472 1452622444 1467831456 1470967848 1477706976 1496614644 1505276136 1508492538 1552044816 1561027104 1564362632 1588244112 1593548502 1600849224 1621066608 1621332531 1654838829 1660139936 1681381884 1710416736 1712470032 1723991472 1746050418 1756155492 1759907961 1800955377 1806858144 1821198288 1852951464 1867657428 1891244376 1921579296 1926528786 1939490406 1961290464 1995486192 2007034848 2011323384 2032715412 2048848074 2124731336 2134465632 2161776708 2178933666 2201747184 2206451772 2216560464 2241842512 2262738807 2323103328 2328067224 2341540656 2346543948 2371112352 2390322753 2401273836 2470601952 2490209904 2521659168 2522072826 2542089277 2568705048 2585987208 2619075627 2634233238 2681764512 2710287216 2731797432 2737634606 2779427196 2801486142 2836866564 2882368944 2905244888 2941935696 2993229288 3010552272 3016985076 3073272111 3104089632 3128725264 3176488224 3187097004 3201698448 3242133216 3242665062 3268400499 3309677658 3362763768 3424940064 3447982944 3492100836 3512310984 3519815922 3601910754 3642396576 3705902928 3735314856 3782488752 3783109239 3853057572 3878980812 3990972384 4022646768 4065430824 4097696148 4106451909 4202229213 4249462672 4323553416 4357867332 4403494368 4412903544 4433120928 4483685024 4525477614 4656134448 4683081312 4693087896 4780645506 4802547672 4863997593 4964516487 4980419808 5044145652 5084178554 5137410096 5171974416 5238151254 5268466476 5279723883 5420574432 5463594864 5475269212 5558854392 5602972284 5673733128 5764737888 5810489776 5883871392 5986458576 6021104544 6033970152 6146544222 6257450528 6374194008 6403396896 6485330124 6536800998 6619355316 6725527536 6788216421 6984201672 7024621968 7039631844 7170968259 7203821508 7411805856 7470629712 7564977504 7566218478 7626267831 7706115144 7757961624 8045293536 8130861648 8195392296 8212903818 8404458426 8498925344 8647106832 8715734664 8825807088 9050955228 9219816333 9312268896 9386175792 9561291012 9605095344 9727995186 9805201497 9929032974 10088291304 10168357108 10274820192 10343948832 10476302508 10536932952 10559447766 10927189728 10950538424 11117708784 11205944568 11347466256 11349327717 11620979552 11972917152 12067940304 12293088444 12319355727 12606687639 12748388016 12970660248 13073601996 13238710632 13451055072 13576432842 13968403344 14049243936 14079263688 14341936518 14407643016 14941259424 15132436956 15252535662 15412230288 15515923248 15839171649 16261723296 16390784592 16425807636 16808916852 17294213664 17431469328 17651614176 17794624939 18101910456 18439632666 18772351584 19122582024 19210190688 19455990372 19610402994 19858065948 20176582608 20336714216 20952605016 21073865904 21118895532 21512904777 21901076848 22235417568 22411889136 22694932512 22698655434 22878803493 24135880608 24586176888 24638711454 25213375278 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114735492144 117662417964 121059495648 122020285296 126713373192 129077428662 131406461088 134471334816 136191932604 137272820958 142356999512 147517061328 147832268724 155647922976 156883223952 158864527584 160151624451 168951164256 172103238216 176493626946 181589243472 183030427944 190070059788 197109691632 201707002224 205909231437 213535499268 217222925472 221748403086 229470984288 235324835928 244040570592 253426746384 258154857324 272383865208 274545641916 284713999024 295034122656 295664537448 313766447904 320303248902 332622604629 344206476432 352987253892 363178486944 366060855888 380140119576 394219383264 403414004448 411818462874 427070998536 443496806172 470649671856 480454873353 506853492768 516309714648 544767730416 549091283832 569427998048 591329074896 617727694311 640606497804 665245209258 688412952864 705974507784 732121711776 760280239152 823636925748 854141997072 886993612344 941299343712 960909746706 1032619429296 1089535460832 1098182567664 1182658149792 1235455388622 1281212995608 1330490418516 1411949015568 1441364620059 1520560478304 1647273851496 1708283994144 1773987224688 1921819493412 2065238858592 2196365135328 2470910777244 2562425991216 2660980837032 2823898031136 2882729240118 3294547702992 3547974449376 3843638986824 4324093860177 4941821554488 5124851982432 5321961674064 5765458480236 6589095405984 7687277973648 8648187720354 9883643108976 10643923348128 11530916960472 15374555947296 17296375440708 19767286217952 23061833920944 34592750881416 46123667841888 69185501762832 138371003525664
- Sum of all divisors σ(n): 524532105796608
- Sum of proper divisors (its aliquot sum) s(n): 386161102270944
- 138371003525664 is an abundant number, because the sum of its proper divisors (386161102270944) is greater than itself. Its abundance is 247790098745280
Bases of 138371003525664
- Binary: 111110111011001000000101000001100101010001000002
- Hexadecimal: 0x7DD902832A20
- Base-36: 1D1QREV600
Squares and roots of 138371003525664
- 138371003525664 squared (1383710035256642) is 19146534616699319118306640896
- 138371003525664 cubed (1383710035256643) is 2649325208951549308569796447345880767954944
-
The
square root of 138371003525664 is 11763120.4841939793 -
The
cube root of 138371003525664 is 51722.7606529179
Scales and comparisons
How big is 138371003525664?- 138,371,003,525,664 seconds is equal to 4,399,769 years, 46 weeks, 6 days, 12 hours, 14 minutes, 24 seconds.
-
To count from 1 to 138,371,003,525,664 would take you about ten million, nine hundred ninety-nine thousand, four hundred twenty-four 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 138371003525664 cubic inches would be around 4310.2 feet tall.
Recreational maths with 138371003525664
- 138371003525664 backwards is 466525300173831
- 138371003525664 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138371003525664's digits is 54
- More coming soon!
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"Number 138371003525664 - Facts about the integer". Numbermatics.com. 2024. Web. 23 May 2024.
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Numbermatics. (2024). Number 138371003525664 - Facts about the integer. Retrieved 23 May 2024, from https://numbermatics.com/n/138371003525664/
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Numbermatics. 2024. "Number 138371003525664 - Facts about the integer". https://numbermatics.com/n/138371003525664/
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