137338081444666368
137,338,081,444,666,368 is an even composite number composed of six prime numbers multiplied together.
What does the number 137338081444666368 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1782 divisors.
137338081444666368 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred eighty-two divisors.
Prime factorization of 137338081444666368:
210 × 32 × 7 × 192 × 412 × 18732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 19 × 19 × 41 × 41 × 1873 × 1873)See below for interesting mathematical facts about the number 137338081444666368 from the Numbermatics database.
Names of 137338081444666368
- Cardinal: 137338081444666368 can be written as One hundred thirty-seven quadrillion, three hundred thirty-eight trillion, eighty-one billion, four hundred forty-four million, six hundred sixty-six thousand, three hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37338081444666368 × 1017
Factors of 137338081444666368
Divisors of 137338081444666368
- Number of divisors d(n): 1782
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 41 42 48 56 57 63 64 72 76 82 84 96 112 114 123 126 128 133 144 152 164 168 171 192 224 228 246 252 256 266 287 288 304 328 336 342 361 369 384 399 448 456 492 504 512 532 574 576 608 656 672 684 722 738 768 779 798 861 896 912 984 1008 1024 1064 1083 1148 1152 1197 1216 1312 1344 1368 1444 1476 1536 1558 1596 1681 1722 1792 1824 1873 1968 2016 2128 2166 2296 2304 2337 2394 2432 2527 2583 2624 2688 2736 2888 2952 3072 3116 3192 3249 3362 3444 3584 3648 3746 3936 4032 4256 4332 4592 4608 4674 4788 4864 5043 5054 5166 5248 5376 5453 5472 5619 5776 5904 6232 6384 6498 6724 6888 7011 7168 7296 7492 7581 7872 8064 8512 8664 9184 9216 9348 9576 9728 10086 10108 10332 10496 10752 10906 10944 11238 11552 11767 11808 12464 12768 12996 13111 13448 13776 14022 14592 14801 14984 15129 15162 15744 16128 16359 16857 17024 17328 18368 18696 19152 19456 20172 20216 20664 20992 21504 21812 21888 22476 22743 23104 23534 23616 24928 25536 25992 26222 26896 27552 28044 29184 29602 29968 30258 30324 31488 31939 32256 32718 33714 34048 34656 35301 35587 36736 37392 38304 39333 40344 40432 41328 41984 43624 43776 44403 44952 45486 46208 47068 47232 49077 49856 51072 51984 52444 53792 55104 56088 58368 59204 59936 60516 60648 62976 63878 64512 65436 67428 68096 69312 70602 71174 73472 74784 76608 76793 78666 80688 80864 82656 87248 87552 88806 89904 90972 92416 94136 94464 95817 98154 99712 102144 103607 103968 104888 105903 106761 107584 110208 112176 117999 118408 119872 121032 121296 125952 127756 130872 133209 134856 136192 138624 141204 142348 146944 149568 153216 153586 157332 161376 161728 165312 174496 175104 177612 179808 181944 184832 188272 188928 191634 196308 199424 204288 207214 207936 209776 211806 213522 215168 220416 223573 224352 230379 235998 236816 239744 242064 242592 249109 255512 261744 266418 269712 277248 282408 284696 287451 293888 299136 306432 307172 310821 314664 320283 322752 323456 330624 348992 355224 359616 363888 369664 376544 377856 383268 392616 398848 408576 414428 415872 419552 423612 427044 430336 440832 447146 448704 460758 471996 473632 479488 484128 485184 498218 511024 523488 532836 537551 539424 554496 564816 569392 574902 598272 606841 612864 614344 621642 629328 640566 645504 646912 661248 670719 676153 691137 697984 710448 719232 727776 747327 753088 766536 785232 797696 828856 831744 839104 847224 854088 860672 881664 894292 897408 921516 932463 943992 947264 958976 968256 970368 996436 1022048 1046976 1065672 1075102 1078848 1108992 1129632 1138784 1149804 1196544 1213682 1225728 1228688 1243284 1258656 1281132 1291008 1293824 1322496 1341438 1352306 1382274 1395968 1420896 1438464 1455552 1459067 1494654 1506176 1533072 1570464 1612653 1657712 1663488 1678208 1694448 1708176 1721344 1788584 1794816 1820523 1843032 1864926 1887984 1894528 1917952 1936512 1940736 1992872 2012157 2028459 2044096 2093952 2131344 2150204 2157696 2241981 2259264 2277568 2299608 2393088 2427364 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344205717906432 357651253762152 372189922614272 380437898738688 401573337557504 408744290013888 418713662941056 451770004752192 476868338349536 478529900504064 516308576859648 536476880643228 544992386685184 558284883921408 602360006336256 613116435020832 715302507524304 803146675115008 817488580027776 837427325882112 903540009504384 953736676699072 1032617153719296 1072953761286456 1089984773370368 1116569767842816 1204720012672512 1226232870041664 1430605015048608 1634977160055552 1674854651764224 1807080019008768 1907473353398144 2145907522572912 2179969546740736 2409440025345024 2452465740083328 2861210030097216 3269954320111104 3349709303528448 3614160038017536 3814946706796288 4291815045145824 4904931480166656 5722420060194432 6539908640222208 7228320076035072 7629893413592576 8583630090291648 9809862960333312 11444840120388864 15259786827185152 17167260180583296 19619725920666624 22889680240777728 34334520361166592 45779360481555456 68669040722333184 137338081444666368
- Sum of all divisors σ(n): 490533783214725432
- Sum of proper divisors (its aliquot sum) s(n): 353195701770059064
- 137338081444666368 is an abundant number, because the sum of its proper divisors (353195701770059064) is greater than itself. Its abundance is 215857620325392696
Bases of 137338081444666368
- Binary: 1111001111110110001000001111001101010010010011100000000002
- Hexadecimal: 0x1E7EC41E6A49C00
- Base-36: 11KAABM7Z0G0
Squares and roots of 137338081444666368
- 137338081444666368 squared (1373380814446663682) is 18861748614901812530447794830311424
- 137338081444666368 cubed (1373380814446663683) is 2590436367462208187070873867207801945341101218988032
-
The
square root of 137338081444666368 is 370591529.1053835839 -
The
cube root of 137338081444666368 is 515937.3777797361
Scales and comparisons
How big is 137338081444666368?- 137,338,081,444,666,368 seconds is equal to 4,366,926,175 years, 18 weeks, 5 days, 18 hours, 52 minutes, 48 seconds.
-
To count from 1 to 137,338,081,444,666,368 would take you about thirteen billion, one hundred million, seven hundred seventy-eight thousand, five hundred twenty-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 137338081444666368 cubic inches would be around 42994.8 feet tall.
Recreational maths with 137338081444666368
- 137338081444666368 backwards is 863666444180833731
- The number of decimal digits it has is: 18
- The sum of 137338081444666368's digits is 81
- More coming soon!
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MLA style:
"Number 137338081444666368 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 137338081444666368 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/137338081444666368/
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Numbermatics. 2024. "Number 137338081444666368 - Facts about the integer". https://numbermatics.com/n/137338081444666368/
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