138373416929664

Names of 138373416929664

• Cardinal: 138373416929664 can be written as One hundred thirty-eight trillion, three hundred seventy-three billion, four hundred sixteen million, nine hundred twenty-nine thousand, six hundred sixty-four.

Scientific notation

• Scientific notation: 1.38373416929664 × 10¹⁴

Factors of 138373416929664

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 2252

Divisors of 138373416929664

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 79 84 96 112 126 128 144 158 168 192 224 237 251 252 288 316 336 384 448 474 502 504 553 576 632 672 711 739 753 896 948 1004 1008 1106 1152 1171 1264 1344 1422 1478 1506 1659 1757 1896 2008 2016 2212 2217 2259 2342 2528 2688 2844 2956 3012 3318 3513 3514 3792 4016 4032 4424 4434 4518 4684 4977 5056 5173 5271 5688 5912 6024 6636 6651 7026 7028 7584 8032 8064 8197 8848 8868 9036 9368 9954 10112 10346 10539 10542 11376 11824 12048 13272 13302 14052 14056 15168 15519 15813 16064 16394 17696 17736 18072 18736 19829 19908 20692 21078 21084 22752 23648 24096 24591 26544 26604 28104 28112 30336 31038 31626 32128 32788 35392 35472 36144 37472 39658 39816 41384 42156 42168 45504 46557 47296 48192 49182 53088 53208 56208 56224 58381 59487 62076 63252 65576 70784 70944 72288 73773 74944 79316 79632 82768 84312 84336 91008 92509 93114 94592 96384 98364 106176 106416 112416 112448 116762 118974 124152 126504 131152 138803 141888 144576 147546 149888 158632 159264 165536 168624 168672 175143 178461 185018 185489 186228 196728 212352 212832 224832 224896 233524 237948 248304 253008 262304 277527 277606 283776 289152 293921 295092 317264 318528 331072 337248 337344 350286 356922 370036 370978 372456 393456 408667 416409 425664 449664 467048 475896 496608 506016 524608 525429 555054 555212 556467 587842 590184 634528 637056 647563 662144 674496 674688 700572 713844 740072 741956 744912 786912 817334 832581 832818 851328 865369 881763 934096 951792 993216 1012032 1049216 1050858 1110108 1110424 1112934 1175684 1180368 1226001 1249227 1269056 1295126 1298423 1348992 1401144 1427688 1480144 1483912 1489824 1573824 1634668 1665162 1665636 1669401 1730738 1763526 1868192 1903584 1942689 1986432 2024064 2057447 2101716 2220216 2220848 2225868 2351368 2360736 2452002 2498454 2538112 2590252 2596107 2596846 2645289 2802288 2855376 2960288 2967824 2979648 3147648 3269336 3330324 3331272 3338802 3461476 3527052 3678003 3736384 3807168 3885378 3895269 4114894 4203432 4440432 4441696 4451736 4702736 4721472 4904004 4996908 5180504 5192214 5193692 5290578 5604576 5710752 5828067 5920576 5935648 5959296 6057583 6172341 6538672 6660648 6662544 6677604 6922952 7054104 7356006 7472768 7614336 7770756 7788321 7790538 8229788 8406864 8880864 8883392 8903472 9405472 9442944 9808008 9993816 10361008 10384428 10387384 10581156 11209152 11421504 11656134 11685807 11841152 11871296 12115166 12344682 13077344 13321296 13325088 13355208 13845904 14108208 14653631 14712012 15541512 15576642 15581076 16459576 16813728 17761728 17766784 17806944 18172749 18517023 18810944 19616016 19987632 20722016 20768856 20774768 21162312 22418304 22843008 23219759 23312268 23371614 23742592 24230332 24689364 26154688 26642592 26650176 26710416 27691808 28216416 29307262 29424024 31083024 31153284 31162152 32919152 33627456 35523456 35613888 36345498 37034046 37621888 39232032 39975264 41444032 41537712 41549536 42324624 43960893 46439518 46624536 46743228 48460664 49378728 52309376 53285184 53300352 53420832 54518247 55383616 56432832 58614524 58848048 62166048 62306568 62324304 65838304 67254912 68364151 69659277 71227776 72690996 74068092 78464064 79950528 82888064 83075424 83099072 84649248 87921786 92879036 93249072 93486456 96921328 98757456 102575417 106570368 106841664 109036494 110767232 112865664 117229048 117696096 124332096 124613136 124648608 131676608 131882679 136728302 139318554 145381992 148136184 156928128 159901056 162538313 166150848 166198144 169298496 175843572 185758072 186498144 186972912 193842656 197514912 205092453 205150834 208977831 213683328 217207619 218072988 234458096 235392192 248664192 249226272 249297216 263353216 263765358 273456604 278637108 290763984 296272368 307726251 325076626 332301696 338596992 351687144 371516144 372996288 373945824 387685312 395029824 410184906 410301668 417955662 434415238 436145976 468916192 470784384 478549057 487614939 498452544 498594432 527530716 546913208 557274216 581527968 592544736 615277359 615452502 650153252 651622857 703374288 743032288 745992576 747891648 775370624 790059648 820369812 820603336 835911324 868830476 872291952 923178753 937832384 957098114 975229878 996905088 1055061432 1093826416 1114548432 1163055936 1185089472 1230554718 1230905004 1300306504 1303245714 1406748576 1435647171 1462844817 1486064576 1495783296 1520453333 1640739624 1641206672 1671822648 1737660952 1744583904 1846357506 1875664768 1914196228 1950459756 1954868571 2110122864 2187652832 2229096864 2326111872 2370178944 2461109436 2461810008 2600613008 2606491428 2813497152 2871294342 2925689634 2972129152 3040906666 3281479248 3282413344 3343645296 3475321904 3489167808 3692715012 3828392456 3900919512 3909737142 4220245728 4306941513 4375305664 4458193728 4561359999 4922218872 4923620016 5201226016 5212982856 5626994304 5742588684 5851379268 6081813332 6562958496 6564826688 6687290592 6950643808 6978335616 7385430024 7656784912 7801839024 7819474284 8440491456 8613883026 8750611328 8916387456 9122719998 9844437744 9847240032 10402452032 10425965712 11485177368 11702758536 12163626664 13125916992 13129653376 13374581184 13684079997 13901287616 14770860048 15313569824 15603678048 15638948568 16880982912 17159401901 17227766052 18245439996 19688875488 19694480064 20804904064 20851931424 22970354736 23405517072 24327253328 26251833984 26749162368 27368159994 27802575232 29541720096 30627139648 31207356096 31277897136 34318803802 34455532104 36490879992 39377750976 39388960128 41703862848 45940709472 46811034144 48654506656 51478205703 54736319988 59083440192 61254279296 62414712192 62555794272 68637607604 68911064208 72981759984 78755501952 83407725696 91881418944 93622068288 97309013312 102956411406 109472639976 118166880384 120115813307 125111588544 137275215208 137822128416 145963519968 154434617109 183762837888 187244136576 194618026624 205912822812 218945279952 240231626614 250223177088 274550430416 275644256832 291927039936 308869234218 360347439921 411825645624 437890559904 480463253228 549100860832 551288513664 583854079872 617738468436 720694879842 823651291248 875781119808 960926506456 1081042319763 1098201721664 1235476936872 1441389759684 1647302582496 1751562239616 1921853012912 2162084639526 2196403443328 2470953873744 2882779519368 3294605164992 3843706025824 4324169279052 4941907747488 5765559038736 6589210329984 7687412051648 8648338558104 9883815494976 11531118077472 15374824103296 17296677116208 19767630989952 23062236154944 34593354232416 46124472309888 69186708464832 138373416929664
• Sum of all divisors σ(n): 463685354496000
• Sum of proper divisors (its aliquot sum) s(n): 325311937566336
• 138373416929664 is an abundant number, because the sum of its proper divisors (325311937566336) is greater than itself. Its abundance is 186938520636672

Bases of 138373416929664

• Binary: 11111011101100110010010010111001100100110000000₂
• Hexadecimal: 0x7DD9925CC980
• Base-36: 1D1RVBQSG0

Squares and roots of 138373416929664

• 138373416929664 squared (138373416929664²) is 19147202512790623688723152896
• 138373416929664 cubed (138373416929664³) is 2649463836339087169430125725462933949906944
• The square root of 138373416929664 is 11763223.0672407127
• The cube root of 138373416929664 is 51723.0613594451

Scales and comparisons

• 138,373,416,929,664 seconds is equal to 4,399,846 years, 33 weeks, 2 days, 10 hours, 14 minutes, 24 seconds.
• To count from 1 to 138,373,416,929,664 would take you about ten million, nine hundred ninety-nine thousand, six hundred sixteen 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 138373416929664 cubic inches would be around 4310.3 feet tall.

Recreational maths with 138373416929664

• 138373416929664 backwards is 466929614373831
• 138373416929664 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138373416929664's digits is 72
• More coming soon!