138002596214400

Names of 138002596214400

• Cardinal: 138002596214400 can be written as One hundred thirty-eight trillion, two billion, five hundred ninety-six million, two hundred fourteen thousand, four hundred.

Scientific notation

• Scientific notation: 1.380025962144 × 10¹⁴

Factors of 138002596214400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 78035

Divisors of 138002596214400

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 32 36 38 40 45 48 50 54 57 60 64 72 75 76 80 90 95 96 100 108 114 120 128 135 144 150 152 160 171 180 190 192 200 216 225 228 240 270 285 288 300 304 320 342 360 380 384 400 432 450 456 475 480 513 540 570 576 600 608 640 675 684 720 760 800 855 864 900 912 950 960 1026 1080 1093 1140 1152 1200 1216 1350 1368 1425 1440 1520 1600 1710 1728 1800 1824 1900 1920 2052 2160 2186 2280 2400 2432 2565 2700 2736 2850 2880 3040 3200 3279 3420 3456 3600 3648 3800 4104 4275 4320 4372 4560 4800 5130 5400 5465 5472 5700 5760 6080 6558 6840 7200 7296 7600 8208 8550 8640 8744 9120 9600 9837 10260 10800 10930 10944 11400 12160 12825 13116 13680 14400 15200 16395 16416 17100 17280 17488 18240 19674 20520 20767 21600 21860 21888 22800 25650 26232 27325 27360 28800 29511 30400 32790 32832 34200 34976 36480 39348 41040 41534 43200 43720 45600 49185 51300 52464 54650 54720 59022 60800 62301 65580 65664 68400 69952 76913 78696 81975 82080 83068 86400 87440 91200 98370 102600 103835 104928 109300 109440 118044 124602 131160 136800 139904 147555 153826 157392 163950 164160 166136 174880 182400 186903 196740 205200 207670 209856 218600 230739 236088 245925 249204 262320 273600 295110 307652 311505 314784 327900 328320 332272 349760 373806 384565 393480 410400 415340 419712 437200 461478 472176 491850 498408 519175 524640 547200 560709 590220 615304 623010 629568 655800 664544 692217 699520 737775 747612 769130 786960 820800 830680 874400 922956 934515 944352 983700 996816 1038350 1049280 1121418 1153695 1180440 1230608 1246020 1259136 1311600 1329088 1384434 1461347 1475550 1495224 1538260 1557525 1573920 1641600 1661360 1748800 1845912 1869030 1888704 1922825 1967400 1993632 2076651 2076700 2098560 2242836 2307390 2360880 2461216 2492040 2623200 2658176 2768868 2803545 2922694 2951100 2990448 3076520 3115050 3147840 3322720 3461085 3497600 3691824 3738060 3777408 3845650 3934800 3987264 4153302 4153400 4384041 4485672 4614780 4672575 4721760 4922432 4984080 5246400 5537736 5607090 5768475 5845388 5902200 5980896 6153040 6230100 6295680 6645440 6922170 7306735 7383648 7476120 7691300 7869600 7974528 8306604 8306800 8768082 8971344 9229560 9345150 9443520 9844864 9968160 10383255 10492800 11075472 11214180 11536950 11690776 11804400 11961792 12306080 12460200 13152123 13290880 13844340 14017725 14613470 14767296 14952240 15382600 15739200 16613208 16613600 17305425 17536164 17942688 18459120 18690300 18887040 19936320 20766510 21920205 22150944 22428360 23073900 23381552 23608800 23923584 24612160 24920400 26304246 27688680 28035450 29226940 29534592 29904480 30765200 31478400 33226416 33227200 34610850 35072328 35885376 36533675 36918240 37380600 39456369 39872640 41533020 43840410 44301888 44856720 46147800 46763104 47217600 49224320 49840800 51916275 52608492 55377360 56070900 58453880 59808960 61530400 65760615 66452832 66454400 69221700 70144656 71770752 73067350 73836480 74761200 78912738 83066040 84065909 87680820 88603776 89713440 92295600 93526208 94435200 99681600 103832550 105216984 109601025 110754720 112141800 116907760 119617920 123060800 131521230 132905664 138443400 140289312 146134700 147672960 149522400 157825476 166132080 168131818 175361640 179426880 184591200 187052416 197281845 199363200 207665100 210433968 219202050 221509440 224283600 233815520 246121600 252197727 263042460 265811328 276886800 280578624 292269400 299044800 315650952 328803075 332264160 336263636 350723280 358853760 369182400 394563690 415330200 420329545 420867936 438404100 443018880 448567200 467631040 504395454 526084920 553773600 561157248 584538800 598089600 631301904 657606150 664528320 672527272 701446560 738364800 756593181 789127380 830660400 840659090 841735872 876808200 897134400 935262080 986409225 1008790908 1052169840 1107547200 1169077600 1260988635 1262603808 1315212300 1329056640 1345054544 1402893120 1513186362 1578254760 1597252271 1661320800 1681318180 1683471744 1753616400 1794268800 1972818450 2017581816 2101647725 2104339680 2215094400 2269779543 2338155200 2521977270 2525207616 2630424600 2690109088 2805786240 3026372724 3156509520 3194504542 3322641600 3362636360 3507232800 3782965905 3945636900 4035163632 4203295450 4208679360 4539559086 4676310400 4791756813 5043954540 5050415232 5260849200 5380218176 6052745448 6304943175 6313019040 6389009084 6645283200 6725272720 7014465600 7565931810 7891273800 7986261355 8070327264 8406590900 8417358720 9079118172 9583513626 10087909080 10521698400 10760436352 11348897715 12105490896 12609886350 12626038080 12778018168 13450545440 14028931200 14375270439 15131863620 15782547600 15972522710 16140654528 16813181800 18158236344 18914829525 19167027252 20175818160 21043396800 22697795430 23958784065 24210981792 25219772700 25252076160 25556036336 26901090880 28750540878 30263727240 31565095200 31945045420 32281309056 33626363600 36316472688 37829659050 38334054504 39931306775 40351636320 42086793600 43125811317 45395590860 47917568130 48421963584 50439545400 51112072672 53802181760 56744488575 57501081756 60527454480 63130190400 63890090840 67252727200 71876352195 72632945376 75659318100 76668109008 79862613550 80703272640 86251622634 90791181720 95835136260 96843927168 100879090800 102224145344 113488977150 115002163512 119793920325 121054908960 126260380800 127780181680 134505454400 143752704390 145265890752 151318636200 153336218016 159725227100 161406545280 172503245268 181582363440 191670272520 201758181600 204448290688 215629056585 226977954300 230004327024 239587840650 242109817920 255560363360 269010908800 287505408780 290531781504 302637272400 306672436032 319450454200 345006490536 359381760975 363164726880 383340545040 403516363200 431258113170 453955908600 460008654048 479175681300 484219635840 511120726720 575010817560 605274544800 613344872064 638900908400 690012981072 718763521950 726329453760 766681090080 807032726400 862516226340 907911817200 920017308096 958351362600 1022241453440 1078145282925 1150021635120 1210549089600 1277801816800 1380025962144 1437527043900 1452658907520 1533362180160 1725032452680 1815823634400 1840034616192 1916702725200 2156290565850 2300043270240 2421098179200 2555603633600 2760051924288 2875054087800 3066724360320 3450064905360 3631647268800 3833405450400 4312581131700 4600086540480 5111207267200 5520103848576 5750108175600 6900129810720 7263294537600 7666810900800 8625162263400 9200173080960 11500216351200 13800259621440 15333621801600 17250324526800 23000432702400 27600519242880 34500649053600 46000865404800 69001298107200 138002596214400
• Sum of all divisors σ(n): 532126124784000
• Sum of proper divisors (its aliquot sum) s(n): 394123528569600
• 138002596214400 is an abundant number, because the sum of its proper divisors (394123528569600) is greater than itself. Its abundance is 256120932355200

Bases of 138002596214400

• Binary: 11111011000001100111011101110011011011010000000₂
• Hexadecimal: 0x7D833BB9B680
• Base-36: 1CX1IMNXC0

Squares and roots of 138002596214400

• 138002596214400 squared (138002596214400²) is 19044716561914729210767360000
• 138002596214400 cubed (138002596214400³) is 2628220329711614592597444774855081984000000
• The square root of 138002596214400 is 11747450.6261741743
• The cube root of 138002596214400 is 51676.8165874351

Scales and comparisons

• 138,002,596,214,400 seconds is equal to 4,388,055 years, 35 weeks, 6 days.
• To count from 1 to 138,002,596,214,400 would take you about ten million, nine hundred seventy thousand, one hundred thirty-nine 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 138002596214400 cubic inches would be around 4306.4 feet tall.

Recreational maths with 138002596214400

• 138002596214400 backwards is 004412695200831
• 138002596214400 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138002596214400's digits is 45
• More coming soon!