138817398120192

Names of 138817398120192

• Cardinal: 138817398120192 can be written as One hundred thirty-eight trillion, eight hundred seventeen billion, three hundred ninety-eight million, one hundred twenty thousand, one hundred ninety-two.

Scientific notation

• Scientific notation: 1.38817398120192 × 10¹⁴

Factors of 138817398120192

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 76

Divisors of 138817398120192

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 23 24 32 33 36 37 44 46 48 64 66 69 72 74 88 92 96 99 111 128 132 138 144 148 176 184 192 198 207 222 253 256 264 276 288 296 333 352 368 384 396 407 414 444 506 528 529 552 576 592 666 704 736 759 768 792 814 828 851 888 1012 1056 1058 1104 1152 1184 1221 1332 1408 1472 1518 1584 1587 1628 1656 1702 1776 2024 2112 2116 2208 2277 2304 2368 2442 2553 2664 2816 2944 3036 3168 3174 3256 3312 3404 3552 3663 4048 4224 4232 4416 4554 4736 4761 4884 5106 5328 5819 5888 6072 6336 6348 6512 6624 6808 7104 7326 7659 8096 8448 8464 8832 9108 9361 9472 9522 9768 10212 10656 11638 12144 12167 12672 12696 13024 13248 13616 14208 14652 15318 16192 16928 17457 17664 18216 18722 19044 19536 19573 20424 21312 23276 24288 24334 25344 25392 26048 26496 27232 28083 28416 29304 30636 32384 33856 34914 36432 36501 37444 38088 39072 39146 40848 42624 46552 48576 48668 50784 52096 52371 52992 54464 56166 58608 58719 61272 64768 67712 69828 72864 73002 74888 76176 78144 78292 81696 84249 85248 93104 97152 97336 101568 104192 104742 108928 109503 112332 117216 117438 122544 133837 135424 139656 145728 146004 149776 152352 156288 156584 163392 168498 176157 186208 194304 194672 203136 209484 215303 217856 219006 224664 234432 234876 245088 267674 279312 279841 291456 292008 299552 304704 312576 313168 326784 336996 352314 372416 389344 401511 406272 418968 430606 438012 449328 450179 468864 469752 490176 535348 558624 559682 582912 584016 599104 609408 626336 645909 653568 673992 704628 744832 778688 803022 837936 839523 861212 876024 898656 900358 937728 939504 980352 1070696 1117248 1119364 1168032 1198208 1204533 1218816 1252672 1291818 1347984 1350537 1409256 1489664 1557376 1606044 1675872 1679046 1722424 1752048 1797312 1800716 1879008 1937727 1960704 2141392 2234496 2238728 2336064 2396416 2409066 2505344 2518569 2583636 2695968 2701074 2818512 3078251 3114752 3212088 3351744 3358092 3444848 3504096 3594624 3601432 3758016 3875454 4051611 4282784 4468992 4477456 4672128 4818132 4951969 5010688 5037138 5167272 5391936 5402148 5637024 6156502 6424176 6436343 6703488 6716184 6889696 7008192 7189248 7202864 7516032 7750908 8103222 8565568 8954912 9234753 9344256 9636264 9903938 10074276 10334544 10354117 10783872 10804296 11274048 12313004 12848352 12872686 13406976 13432368 13779392 14016384 14405728 14855907 15032064 15501816 16206444 17131136 17909824 18469506 19272528 19309029 19807876 20148552 20669088 20708234 21567744 21608592 22548096 24626008 25696704 25745372 26864736 27558784 27704259 28032768 28811456 29711814 31003632 31062351 32412888 34262272 35819648 36939012 38545056 38618058 39615752 40297104 41338176 41416468 43217184 44567721 45096192 49252016 51393408 51490744 53729472 55117568 55408518 57622912 57927087 59423628 62007264 62124702 64825776 70799773 71639296 73878024 77090112 77236116 79231504 80594208 82676352 82832936 86434368 89135442 93187053 98504032 102786816 102981488 107458944 110817036 113895287 115245824 115854174 118847256 124014528 124249404 129651552 141599546 147756048 148035889 154180224 154472232 158463008 161188416 165352704 165665872 172868736 178270884 186374106 197008064 205962976 212399319 214917888 221634072 227790574 231708348 237694512 238144691 248029056 248498808 259303104 283199092 295512096 296071778 308360448 308944464 316926016 322376832 331331744 341685861 345737472 356541768 372748212 394016128 411925952 424798638 443268144 444107667 455581148 463416696 475389024 476289382 496058112 496997616 518606208 566398184 591024192 592143556 617888928 633852032 637197957 644753664 662663488 683371722 713083536 714434073 745496424 788032256 823851904 849597276 886536288 888215334 911162296 926833392 950778048 952578764 993995232 1025057583 1037212416 1132796368 1182048384 1184287112 1235777856 1267704064 1274395914 1325326976 1332323001 1366743444 1426167072 1428868146 1490992848 1628394779 1647703808 1699194552 1773072576 1776430668 1822324592 1853666784 1901556096 1905157528 1987990464 2050115166 2143302219 2265592736 2364096768 2368574224 2471555712 2548791828 2619591601 2650653952 2664646002 2733486888 2852334144 2857736292 2981985696 3256789558 3398389104 3546145152 3552861336 3644649184 3707333568 3803112192 3810315056 3975980928 4100230332 4286604438 4531185472 4737148448 4885184337 4943111424 5097583656 5239183202 5329292004 5466973776 5477327893 5704668288 5715472584 5963971392 6513579116 6796778208 7092290304 7105722672 7289298368 7414667136 7620630112 7858774803 7951961856 8200460664 8573208876 9062370944 9474296896 9770368674 10195167312 10478366404 10658584008 10933947552 10954655786 11409336576 11430945168 11927942784 13027158232 13593556416 14211445344 14578596736 14655553011 14829334272 15241260224 15717549606 16400921328 16431983679 17146417752 18124741888 18948593792 19540737348 20390334624 20956732808 21317168016 21867895104 21909311572 22861890336 23576324409 23855885568 26054316464 27187112832 28422890688 29157193472 29311106022 30482520448 31435099212 32801842656 32863967358 34292835504 37897187584 39081474696 40780669248 41913465616 42634336032 43735790208 43818623144 45723780672 47152648818 49295951037 52108632928 54374225664 56845781376 58622212044 60250606823 60965040896 62870198424 65603685312 65727934716 68585671008 78162949392 81561338496 83826931232 85268672064 87471580416 87637246288 91447561344 94305297636 98591902074 104217265856 113691562752 117244424088 120501213646 125740396848 131207370624 131455869432 137171342016 156325898784 163122676992 167653862464 170537344128 175274492576 180751820469 182895122688 188610595272 197183804148 208434531712 234488848176 241002427292 251480793696 262414741248 262911738864 274342684032 312651797568 335307724928 341074688256 350548985152 361503640938 377221190544 394367608296 416869063424 468977696352 482004854584 502961587392 525823477728 542255461407 548685368064 625303595136 670615449856 701097970304 723007281876 754442381088 788735216592 937955392704 964009709168 1005923174784 1051646955456 1084510922814 1250607190272 1402195940608 1446014563752 1508884762176 1577470433184 1875910785408 1928019418336 2011846349568 2103293910912 2169021845628 2892029127504 3017769524352 3154940866368 3751821570816 3856038836672 4206587821824 4338043691256 5784058255008 6035539048704 6309881732736 7712077673344 8676087382512 11568116510016 12619763465472 15424155346688 17352174765024 23136233020032 34704349530048 46272466040064 69408699060096 138817398120192
• Sum of all divisors σ(n): 468814749073944
• Sum of proper divisors (its aliquot sum) s(n): 329997350953752
• 138817398120192 is an abundant number, because the sum of its proper divisors (329997350953752) is greater than itself. Its abundance is 191179952833560

Bases of 138817398120192

• Binary: 11111100100000011110001101101000001111100000000₂
• Hexadecimal: 0x7E40F1B41F00
• Base-36: 1D7FTYOJK0

Squares and roots of 138817398120192

• 138817398120192 squared (138817398120192²) is 19270270020859885415278116864
• 138817398120192 cubed (138817398120192³) is 2675048745369307310274248977233507294117888
• The square root of 138817398120192 is 11782079.5329259255
• The cube root of 138817398120192 is 51778.3213699519

Scales and comparisons

• 138,817,398,120,192 seconds is equal to 4,413,963 years, 45 weeks, 1 day, 14 hours, 43 minutes, 12 seconds.
• To count from 1 to 138,817,398,120,192 would take you about eleven million, thirty-four thousand, nine hundred 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 138817398120192 cubic inches would be around 4314.9 feet tall.

Recreational maths with 138817398120192

• 138817398120192 backwards is 291021893718831
• The number of decimal digits it has is: 15
• The sum of 138817398120192's digits is 63
• More coming soon!