137049139716768

Names of 137049139716768

• Cardinal: 137049139716768 can be written as One hundred thirty-seven trillion, forty-nine billion, one hundred thirty-nine million, seven hundred sixteen thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.37049139716768 × 10¹⁴

Factors of 137049139716768

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1820

Divisors of 137049139716768

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 127 137 144 152 171 216 228 254 274 288 304 342 381 411 432 439 456 508 513 548 608 684 762 822 864 878 912 1016 1026 1093 1096 1143 1233 1317 1368 1524 1644 1756 1824 2032 2052 2186 2192 2286 2413 2466 2603 2634 2736 3048 3279 3288 3429 3512 3699 3951 4064 4104 4372 4384 4572 4826 4932 5206 5268 5472 6096 6558 6576 6858 7024 7239 7398 7809 7902 8208 8341 8744 9144 9652 9837 9864 10412 10536 11853 12192 13116 13152 13716 14048 14478 14796 15618 15804 16416 16682 17399 17488 18288 19304 19674 19728 20767 20824 21072 21717 23427 23706 25023 26232 27432 28956 29511 29592 31236 31608 33364 34798 34976 36576 38608 39348 39456 41534 41648 42144 43434 46854 47412 50046 52197 52464 54864 55753 57912 59022 59184 60143 62301 62472 63216 65151 66728 69596 70281 75069 77216 78696 83068 83296 86868 93708 94824 100092 104394 104928 109728 111506 115824 118044 118368 120286 124602 124944 126432 130302 133456 138811 139192 140562 149741 150138 156591 157392 166136 167259 173736 180429 186903 187416 189648 200184 208788 223012 225207 231648 236088 240572 249204 249888 260604 266912 277622 278384 281124 299482 300276 313182 314784 330581 332272 334518 347472 360858 373806 374832 379296 400368 416433 417576 446024 449223 450414 469773 472176 479827 481144 498408 501777 521208 541287 555244 556768 560709 562248 598964 600552 626364 661162 664544 669036 694944 721716 747612 749664 800736 832866 835152 892048 898446 900828 939546 944352 959654 962288 991743 996816 1003554 1042416 1059307 1082574 1110488 1121418 1124496 1142717 1197928 1201104 1249299 1252728 1322324 1338072 1347669 1439481 1443432 1495224 1505331 1623861 1665732 1670304 1784096 1796892 1801656 1879092 1919308 1924576 1983486 1993632 2007108 2084832 2118614 2165148 2220976 2242836 2248992 2285434 2395856 2402208 2498598 2505456 2637409 2644648 2676144 2695338 2845079 2878962 2886864 2975229 2990448 3010662 3177921 3247722 3331464 3428151 3593784 3603312 3747897 3758184 3838616 3966972 4014216 4043007 4237228 4318443 4330296 4441952 4485672 4570868 4791712 4997196 5010912 5274818 5289296 5352288 5390676 5690158 5757924 5773728 5950458 5980896 6021324 6355842 6495444 6662928 6856302 7187568 7206624 7495794 7516368 7638161 7677232 7912227 7933944 8028432 8086014 8474456 8535237 8636886 8660592 8925687 8971344 9116713 9141736 9533763 9994392 10284453 10549636 10578592 10781352 11380316 11515848 11900916 12042648 12711684 12955329 12990888 13325856 13712604 14375136 14991588 15032736 15276322 15354464 15824454 15867888 16056864 16172028 16948912 17070474 17273772 17321184 17851374 17942688 18233426 18283472 19017107 19067526 19988784 20568906 21099272 21562704 22760632 22914483 23031696 23736681 23801832 24085296 25423368 25605711 25910658 25981776 27350139 27425208 28601289 29983176 30552644 30853359 31648908 31735776 32344056 33897824 34140948 34547544 35702748 36466852 36566944 38034214 38135052 39977568 41137812 42198544 43125408 45521264 45828966 46063392 47473362 47603664 48170592 50846736 51211422 51821316 51963552 54700278 54850416 57051321 57202578 59966352 60938029 61105288 61706718 63297816 64688112 65736299 68281896 68743449 69095088 71210043 71405496 72933704 76068428 76270104 76817133 82050417 82275624 84397088 91042528 91657932 94946724 95207328 101693472 102422844 103642632 109400556 109700832 114102642 114405156 119932704 121876058 122210576 123413436 126595632 129376224 131472598 136563792 137486898 138190176 142420086 142810992 145125059 145867408 152136856 152540208 153634266 164100834 164551248 171153963 182814087 183315864 189893448 197208897 204845688 206230347 207285264 218801112 228205284 228810312 243752116 244421152 246151251 246826872 253191264 262945196 273127584 274973796 284840172 285621984 290250118 291734816 304273712 305080416 307268532 328201668 329102496 342307926 361325033 365628174 366631728 379786896 394417794 409691376 412460694 414570528 435375177 437602224 456410568 457620624 487504232 492302502 493653744 513461889 525890392 548442261 549947592 569680344 580500236 591626691 608547424 614537064 656403336 684615852 722650066 731256348 733263456 759573792 788835588 819382752 824921388 870750354 875204448 912821136 915241248 975008464 984605004 987307488 1026923778 1051780784 1083975099 1096884522 1099895184 1139360688 1157822551 1161000472 1183253382 1229074128 1248989681 1306125531 1312806672 1369231704 1445300132 1462512696 1577671176 1645326783 1649842776 1741500708 1774880073 1825642272 1950016928 1969210008 2053847556 2103561568 2167950198 2193769044 2199790368 2278721376 2315645102 2322000944 2366506764 2458148256 2497979362 2612251062 2625613344 2738463408 2890600264 2925025392 3155342352 3251925297 3290653566 3299685552 3473467653 3483001416 3549760146 3746969043 3918376593 3938420016 4107695112 4335900396 4387538088 4631290204 4644001888 4733013528 4995958724 5224502124 5476926816 5781200528 5850050784 6310684704 6503850594 6581307132 6599371104 6946935306 6966002832 7099520292 7493938086 7836753186 7876840032 8215390224 8348509973 8671800792 8775076176 9262580408 9466027056 9755775891 9991917448 10420402959 10449004248 11240907129 11562401056 13007701188 13162614264 13893870612 13932005664 14199040584 14987876172 15673506372 16430780448 16697019946 17343601584 17550152352 18525160816 18932054112 19511551782 19983834896 20840805918 20898008496 22481814258 25045529919 26015402376 26325228528 27787741224 28398081168 29975752344 31261208877 31347012744 33394039892 33722721387 34687203168 37050321632 39023103564 39967669792 41681611836 41796016992 44963628516 50091059838 52030804752 52650457056 55575482448 56796162336 59951504688 62522417754 62694025488 66788079784 67445442774 75136589757 78046207128 83363223672 89927257032 100182119676 104061609504 111150964896 119903009376 125044835508 125388050976 133576159568 134890885548 150273179514 156092414256 158621689487 166726447344 179854514064 200364239352 225409769271 250089671016 267152319136 269781771096 300546359028 312184828512 317243378974 333452894688 359709028128 400728478704 450819538542 475865068461 500179342032 539563542192 601092718056 634486757948 801456957408 901639077084 951730136922 1000358684064 1079127084384 1202185436112 1268973515896 1427595205383 1803278154168 1903460273844 2404370872224 2537947031792 2855190410766 3606556308336 3806920547688 4282785616149 5075894063584 5710380821532 7213112616672 7613841095376 8565571232298 11420761643064 15227682190752 17131142464596 22841523286128 34262284929192 45683046572256 68524569858384 137049139716768
• Sum of all divisors σ(n): 428538249216000
• Sum of proper divisors (its aliquot sum) s(n): 291489109499232
• 137049139716768 is an abundant number, because the sum of its proper divisors (291489109499232) is greater than itself. Its abundance is 154439969782464

Bases of 137049139716768

• Binary: 11111001010010100111101010010100010001010100000₂
• Hexadecimal: 0x7CA53D4A22A0
• Base-36: 1CKVI7A7C0

Squares and roots of 137049139716768

• 137049139716768 squared (137049139716768²) is 18782466697106196039260365824
• 137049139716768 cubed (137049139716768³) is 2574120902597249048297257255672799426936832
• The square root of 137049139716768 is 11706798.8671868793
• The cube root of 137049139716768 is 51557.5301692979

Scales and comparisons

• 137,049,139,716,768 seconds is equal to 4,357,738 years, 37 weeks, 3 days, 20 hours, 52 minutes, 48 seconds.
• To count from 1 to 137,049,139,716,768 would take you about ten million, eight hundred ninety-four thousand, three hundred forty-six 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 137049139716768 cubic inches would be around 4296.5 feet tall.

Recreational maths with 137049139716768

• 137049139716768 backwards is 867617931940731
• 137049139716768 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137049139716768's digits is 72
• More coming soon!