138157441416000
138,157,441,416,000 is an even composite number composed of five prime numbers multiplied together.
138157441416000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred forty divisors.
Prime factorization of 138157441416000:
26 × 32 × 53 × 294 × 2713
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 29 × 29 × 29 × 29 × 2713)See below for interesting mathematical facts about the number 138157441416000 from the Numbermatics database.
Names of 138157441416000
- Cardinal: 138157441416000 can be written as One hundred thirty-eight trillion, one hundred fifty-seven billion, four hundred forty-one million, four hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.38157441416 × 1014
Factors of 138157441416000
Divisors of 138157441416000
- Number of divisors d(n): 840
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 29 30 32 36 40 45 48 50 58 60 64 72 75 80 87 90 96 100 116 120 125 144 145 150 160 174 180 192 200 225 232 240 250 261 288 290 300 320 348 360 375 400 435 450 464 480 500 522 576 580 600 696 720 725 750 800 841 870 900 928 960 1000 1044 1125 1160 1200 1305 1392 1440 1450 1500 1600 1682 1740 1800 1856 2000 2088 2175 2250 2320 2400 2523 2610 2713 2784 2880 2900 3000 3364 3480 3600 3625 4000 4176 4205 4350 4500 4640 4800 5046 5220 5426 5568 5800 6000 6525 6728 6960 7200 7250 7569 8000 8139 8352 8410 8700 9000 9280 10092 10440 10852 10875 11600 12000 12615 13050 13456 13565 13920 14400 14500 15138 16278 16704 16820 17400 18000 20184 20880 21025 21704 21750 23200 24000 24389 24417 25230 26100 26912 27130 27840 29000 30276 32556 32625 33640 34800 36000 37845 40368 40695 41760 42050 43408 43500 46400 48778 48834 50460 52200 53824 54260 58000 60552 63075 65112 65250 67280 67825 69600 72000 73167 75690 78677 80736 81390 83520 84100 86816 87000 97556 97668 100920 104400 105125 108520 116000 121104 121945 122085 126150 130224 130500 134560 135650 139200 146334 151380 157354 161472 162780 168200 173632 174000 189225 195112 195336 201840 203475 208800 210250 217040 219501 232000 236031 242208 243890 244170 252300 260448 261000 269120 271300 292668 302760 314708 315375 325560 336400 339125 348000 365835 378450 390224 390672 393385 403680 406950 417600 420500 434080 439002 472062 484416 487780 488340 504600 520896 522000 542600 585336 605520 609725 610425 629416 630750 651120 672800 678250 696000 707281 708093 731670 756900 780448 781344 786770 807360 813900 841000 868160 878004 944124 946125 975560 976680 1009200 1017375 1044000 1085200 1097505 1170672 1180155 1211040 1219450 1220850 1258832 1261500 1302240 1345600 1356500 1414562 1416186 1463340 1513800 1560896 1562688 1573540 1627800 1682000 1756008 1829175 1888248 1892250 1951120 1953360 1966925 2018400 2034750 2088000 2121843 2170400 2195010 2281633 2341344 2360310 2422080 2438900 2441700 2517664 2523000 2604480 2713000 2829124 2832372 2926680 3027600 3048625 3052125 3147080 3255600 3364000 3512016 3536405 3540465 3658350 3776496 3784500 3902240 3906720 3933850 4036800 4069500 4243686 4340800 4390020 4563266 4682688 4720620 4877800 4883400 5035328 5046000 5426000 5487525 5658248 5664744 5853360 5900775 6055200 6097250 6104250 6294160 6365529 6511200 6728000 6844899 7024032 7072810 7080930 7316700 7552992 7569000 7804480 7813440 7867700 8139000 8487372 8780040 9126532 9145875 9441240 9755600 9766800 9834625 10092000 10609215 10852000 10975050 11316496 11329488 11408165 11706720 11801550 12110400 12194500 12208500 12588320 12731058 13022400 13689798 14048064 14145620 14161860 14633400 15105984 15138000 15735400 16278000 16974744 17560080 17682025 17702325 18253064 18291750 18882480 19511200 19533600 19669250 20184000 20534697 21218430 21704000 21950100 22632992 22658976 22816330 23413440 23603100 24389000 24417000 25176640 25462116 27379596 27437625 28291240 28323720 29266800 29503875 30276000 31470800 31827645 32556000 33949488 34224495 35120160 35364050 35404650 36506128 36583500 37764960 39022400 39067200 39338500 41069394 42436860 43900200 45265984 45317952 45632660 47206200 48778000 48834000 50924232 53046075 54759192 54875250 56582480 56647440 57040825 58533600 59007750 60552000 62941600 63655290 65112000 66167357 67898976 68448990 70240320 70728100 70809300 73012256 73167000 75529920 78677000 82138788 84873720 87800400 88410125 88511625 91265320 94412400 97556000 97668000 101848464 102673485 106092150 109518384 109750500 113164960 113294880 114081650 117067200 118015500 125883200 127310580 132334714 135797952 136897980 141456200 141618600 146024512 146334000 157354000 159138225 164277576 169747440 171122475 175600800 176820250 177023250 182530640 188824800 195112000 195336000 198502071 203696928 205346970 212184300 219036768 219501000 226329920 226589760 228163300 236031000 254621160 264669428 265230375 273795960 282912400 283237200 285204125 292668000 314708000 318276450 328555152 330836785 339494880 342244950 351201600 353640500 354046500 365061280 377649600 397004142 407393856 410693940 424368600 438073536 439002000 456326600 472062000 509242320 513367425 529338856 530460750 547591920 565824800 566474400 570408250 585336000 595506213 629416000 636552900 657110304 661673570 678989760 684489900 707281000 708093000 730122560 794008284 795691125 821387880 848737200 855612375 878004000 912653200 944124000 992510355 1018484640 1026734850 1058677712 1060921500 1095183840 1131649600 1132948800 1140816500 1191012426 1273105800 1314220608 1323347140 1368979800 1414562000 1416186000 1588016568 1591382250 1642775760 1654183925 1697474400 1711224750 1756008000 1825306400 1888248000 1918853353 1985020710 2036969280 2053469700 2117355424 2121843000 2190367680 2281633000 2382024852 2546211600 2566837125 2646694280 2737959600 2829124000 2832372000 2977531065 3176033136 3182764500 3285551520 3308367850 3394948800 3422449500 3650612800 3837706706 3970041420 4106939400 4234710848 4243686000 4563266000 4764049704 4962551775 5092423200 5133674250 5293388560 5475919200 5658248000 5664744000 5756560059 5955062130 6352066272 6365529000 6571103040 6616735700 6844899000 7675413412 7940082840 8213878800 8270919625 8487372000 9126532000 9528099408 9594266765 9925103550 10184846400 10267348500 10586777120 10951838400 11513120118 11910124260 12704132544 12731058000 13233471400 13689798000 14887655325 15350826824 15880165680 16427757600 16541839250 16974744000 17269680177 18253064000 19056198816 19188533530 19850207100 20534697000 21173554240 23026240236 23820248520 24812758875 25462116000 26466942800 27379596000 28782800295 29775310650 30701653648 31760331360 32855515200 33083678500 34539360354 38112397632 38377067060 39700414200 41069394000 46052480472 47640497040 47971333825 49625517750 50924232000 52933885600 54759192000 57565600590 59550621300 61403307296 63520662720 66167357000 69078720708 74438276625 76754134120 79400828400 82138788000 86348400885 92104960944 95280994080 95942667650 99251035500 105867771200 115131201180 119101242600 122806614592 132334714000 138157441416 143914001475 148876553250 153508268240 158801656800 164277576000 172696801770 184209921888 190561988160 191885335300 198502071000 230262402360 238202485200 239856669125 264669428000 276314882832 287828002950 297753106500 307016536480 317603313600 345393603540 368419843776 383770670600 397004142000 431742004425 460524804720 476404970400 479713338250 529338856000 552629765664 575656005900 595506213000 614033072960 690787207080 719570007375 767541341200 794008284000 863484008850 921049609440 952809940800 959426676500 1105259531328 1151312011800 1191012426000 1381574414160 1439140014750 1535082682400 1588016568000 1726968017700 1842099218880 1918853353000 2158710022125 2302624023600 2382024852000 2763148828320 2878280029500 3070165364800 3453936035400 3837706706000 4317420044250 4605248047200 4764049704000 5526297656640 5756560059000 6907872070800 7675413412000 8634840088500 9210496094400 11513120118000 13815744141600 15350826824000 17269680177000 23026240236000 27631488283200 34539360354000 46052480472000 69078720708000 138157441416000
- Sum of all divisors σ(n): 512051275066344
- Sum of proper divisors (its aliquot sum) s(n): 373893833650344
- 138157441416000 is an abundant number, because the sum of its proper divisors (373893833650344) is greater than itself. Its abundance is 235736392234344
Bases of 138157441416000
- Binary: 111110110100111010010010011011111111011010000002
- Hexadecimal: 0x7DA74937FB40
- Base-36: 1CZ0NHHZK0
Squares and roots of 138157441416000
- 138157441416000 squared (1381574414160002) is 19087478618615472085056000000
- 138157441416000 cubed (1381574414160003) is 2637077209030519691622307689079296000000000
-
The
square root of 138157441416000 is 11754039.3659371415 -
The
cube root of 138157441416000 is 51696.1372773625
Scales and comparisons
How big is 138157441416000?- 138,157,441,416,000 seconds is equal to 4,392,979 years, 14 weeks, 6 days, 20 hours.
-
To count from 1 to 138,157,441,416,000 would take you about ten million, nine hundred eighty-two thousand, four hundred forty-eight 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 138157441416000 cubic inches would be around 4308 feet tall.
Recreational maths with 138157441416000
- 138157441416000 backwards is 000614144751831
- 138157441416000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138157441416000's digits is 45
- More coming soon!
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The information we have on file for 138157441416000 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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