137691082349568
137,691,082,349,568 is an even composite number composed of eight prime numbers multiplied together.
What does the number 137691082349568 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2112 divisors.
137691082349568 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 137691082349568:
210 × 32 × 11 × 31 × 43 × 71 × 113 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 31 × 43 × 71 × 113 × 127)See below for interesting mathematical facts about the number 137691082349568 from the Numbermatics database.
Names of 137691082349568
- Cardinal: 137691082349568 can be written as One hundred thirty-seven trillion, six hundred ninety-one billion, eighty-two million, three hundred forty-nine thousand, five hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37691082349568 × 1014
Factors of 137691082349568
Divisors of 137691082349568
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 31 32 33 36 43 44 48 62 64 66 71 72 86 88 93 96 99 113 124 127 128 129 132 142 144 172 176 186 192 198 213 226 248 254 256 258 264 279 284 288 339 341 344 352 372 381 384 387 396 426 452 473 496 508 512 516 528 558 568 576 639 678 682 688 704 744 762 768 774 781 792 852 904 946 992 1016 1017 1023 1024 1032 1056 1116 1136 1143 1152 1243 1278 1333 1356 1364 1376 1397 1408 1419 1488 1524 1536 1548 1562 1584 1704 1808 1892 1984 2032 2034 2046 2064 2112 2201 2232 2272 2286 2304 2343 2486 2556 2666 2712 2728 2752 2794 2816 2838 2976 3048 3053 3069 3072 3096 3124 3168 3408 3503 3616 3729 3784 3937 3968 3999 4064 4068 4092 4128 4191 4224 4257 4402 4464 4544 4572 4608 4686 4859 4972 5112 5332 5424 5456 5461 5504 5588 5632 5676 5952 6096 6106 6138 6192 6248 6336 6603 6816 7006 7029 7232 7458 7568 7874 7936 7998 8023 8128 8136 8184 8256 8382 8448 8514 8804 8928 9017 9088 9144 9159 9216 9372 9718 9944 10224 10509 10664 10848 10912 10922 11008 11176 11187 11264 11352 11811 11904 11997 12192 12212 12276 12384 12496 12573 12672 13206 13632 14012 14058 14351 14464 14577 14663 14916 15136 15748 15872 15996 16046 16256 16272 16368 16383 16512 16764 16896 17028 17608 17856 18034 18176 18288 18318 18744 19436 19809 19888 20448 21018 21328 21696 21824 21844 22016 22352 22374 22704 23622 23808 23994 24069 24211 24384 24424 24552 24768 24992 25146 25344 26412 27051 27264 27477 28024 28116 28702 28928 29154 29326 29832 30272 31496 31527 31744 31992 32092 32512 32544 32736 32766 33024 33528 33583 33792 34056 35216 35433 35712 36068 36352 36576 36636 37488 38533 38872 39618 39776 40896 42036 42656 43053 43307 43392 43648 43688 43731 43989 44032 44704 44748 45408 47244 47616 47988 48138 48422 48768 48848 49104 49149 49536 49984 50292 50688 52824 53449 54102 54528 54954 56048 56232 57404 57856 58308 58652 59664 60071 60544 62992 63054 63984 64184 65024 65088 65472 65532 66048 67056 67166 68112 70432 70866 71424 72136 72207 72633 72704 73152 73272 74976 77066 77744 79236 79552 81153 81792 84072 85312 86106 86614 86784 87296 87376 87462 87978 88253 89408 89496 90816 94488 94643 95232 95976 96276 96844 97536 97696 98208 98298 99072 99187 99968 100584 100749 101376 105648 106898 108204 109056 109908 112096 112464 114808 115599 115712 116616 117304 119328 120142 121088 125984 126108 127968 128368 129159 129921 130048 130176 130944 131064 131967 132096 134112 134332 136224 140864 141732 142848 144272 144414 145266 146304 146544 149952 150629 154132 155488 157861 158472 159104 160347 162306 163584 168144 169291 170624 172212 173228 173568 174592 174752 174924 175956 176506 178816 178992 180213 181632 188976 189286 191952 192552 193688 195072 195392 196416 196596 198144 198374 199936 201168 201498 211296 213796 216408 217899 218112 219816 224192 224928 229616 231198 233232 234608 238656 240284 242176 248713 251968 252216 255936 256736 258318 259842 260352 261888 262128 263934 264759 268224 268664 272448 279527 281728 283464 283929 285696 288544 288828 290532 292608 293088 297561 299904 301258 302247 308264 310976 315722 316944 318208 320694 324612 327168 336288 338582 341248 344424 344989 346456 346797 347136 349184 349504 349848 351912 353012 357632 357984 360426 363264 377952 378572 383904 385104 387376 387731 389763 390144 390784 392832 393192 396288 396748 399872 402336 402996 422592 427592 432816 435798 439632 444881 448384 449856 451887 459232 462396 466464 469216 473583 477312 480568 481041 484352 497426 503936 504432 507873 511872 513472 516636 519684 520704 523776 524256 527868 529518 536448 537328 540639 544896 559054 563456 566928 567858 577088 577656 581064 585216 586176 595122 599808 602516 604494 616528 617093 621952 631444 633888 636416 641388 649224 654336 672576 677164 682496 688848 689978 692912 693594 699008 699696 703824 706024 715264 715968 720852 726528 746139 755904 757144 767808 770208 774752 775462 779526 781568 785664 786384 793496 794277 799744 804672 805992 838581 845184 851787 855184 865632 871596 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1199316096 1224312512 1228331808 1252784896 1262572278 1272513792 1288060416 1303300416 1358221693 1366674432 1368916352 1377351576 1388196864 1389808244 1400751616 1402035296 1409383008 1411694988 1421782272 1430170368 1434640768 1445848899 1454846976 1457233536 1516154448 1538516608 1540030896 1560185856 1565062656 1574296064 1575845568 1577289708 1586595252 1589709312 1599088128 1613970864 1637775744 1683429704 1696685056 1730831184 1737733888 1771083072 1786664448 1836468768 1879177344 1882259984 1893858417 1895709696 1906893824 1908770688 1927798532 1942978048 1954950624 2021539264 2050011648 2053374528 2084712366 2101127424 2103052944 2115460336 2117542482 2145255552 2151961152 2183700992 2185850304 2274231672 2292139008 2307774912 2347593984 2361444096 2379892878 2398632192 2448625024 2456663616 2505569792 2525144556 2545027584 2576120832 2606600832 2716443386 2737832704 2754703152 2779616488 2801503232 2804070592 2818766016 2823389976 2843564544 2860340736 2869281536 2891697798 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8461841344 8470169928 8581022208 8607844608 8675093394 8743401216 9096926688 9231099648 9390375936 9445776384 9519571512 9594528768 9794500096 9826654464 10100578224 10426403328 10865773544 10951330816 11018812608 11118465952 11216282368 11275064064 11293559904 11477126144 11566791192 11657868288 12129235584 12223995237 12308132864 12320247168 12508274196 12606764544 12618317664 12692762016 12911766912 13102205952 13467437632 13846649472 14168664576 14691750144 14940438623 15033418752 15058079872 15150867336 15270165504 15422388256 15639604992 16172314112 16298660316 16426996224 16677698928 16824423552 16923682688 16940339856 17162044416 17215689216 17350186788 17486802432 18193853376 18462199296 19039143024 19589000192 19653308928 20201156448 20852806656 21731547088 22037625216 22236931904 22432564736 22550128128 22587119808 23133582384 24258471168 24447990474 24640494336 25016548392 25213529088 25236635328 25385524032 25823533824 26934875264 27693298944 28337329152 29383500288 29880877246 30116159744 30301734672 30844776512 31279209984 32344628224 32597320632 32853992448 33355397856 33648847104 33847365376 33880679712 34431378432 34700373576 34973604864 36387706752 36924398592 38078286048 39306617856 40402312896 43463094176 44075250432 44473863808 44821315869 44865129472 45100256256 45174239616 46267164768 48516942336 48895980948 49280988672 50033096784 50473270656 50771048064 51647067648 53869750528 55386597888 58767000576 59761754492 60232319488 60603469344 61689553024 62558419968 65194641264 66710795712 67297694208 67694730752 67761359424 69400747152 72775413504 76156572096 80804625792 86926188352 88150500864 88947727616 89642631738 90348479232 92534329536 97033884672 97791961896 98561977344 100066193568 100946541312 101542096128 103294135296 107739501056 110773195776 119523508984 120464638976 121206938688 123379106048 130389282528 133421591424 134463947607 134595388416 135389461504 135522718848 138801494304 145550827008 152313144192 161609251584 173852376704 176301001728 177895455232 179285263476 180696958464 185068659072 195583923792 200132387136 201893082624 203084192256 215479002112 239047017968 242413877376 246758212096 260778565056 266843182848 268927895214 271045437696 277602988608 291101654016 304626288384 323218503168 347704753408 355790910464 358570526952 361393916928 370137318144 391167847584 400264774272 403786165248 406168384512 478094035936 484827754752 493516424192 521557130112 533686365696 537855790428 542090875392 555205977216 609252576768 646437006336 695409506816 717141053904 740274636288 782335695168 800529548544 956188071872 969655509504 1043114260224 1067372731392 1075711580856 1084181750784 1110411954432 1218505153536 1390819013632 1434282107808 1480549272576 1564671390336 1601059097088 1912376143744 1939311019008 2086228520448 2151423161712 2220823908864 2868564215616 3129342780672 3202118194176 3824752287488 4172457040896 4302846323424 4441647817728 5737128431232 6258685561344 7649504574976 8605692646848 11474256862464 12517371122688 15299009149952 17211385293696 22948513724928 34422770587392 45897027449856 68845541174784 137691082349568
- Sum of all divisors σ(n): 472380991340544
- Sum of proper divisors (its aliquot sum) s(n): 334689908990976
- 137691082349568 is an abundant number, because the sum of its proper divisors (334689908990976) is greater than itself. Its abundance is 196998826641408
Bases of 137691082349568
- Binary: 111110100111010101101000000110101011100000000002
- Hexadecimal: 0x7D3AB40D5C00
- Base-36: 1CT2ERCOW0
Squares and roots of 137691082349568
- 137691082349568 squared (1376910823495682) is 18958834158595516427349786624
- 137691082349568 cubed (1376910823495683) is 2610462395382977996382483999203497378578432
-
The
square root of 137691082349568 is 11734184.3495646513 -
The
cube root of 137691082349568 is 51637.9038586379
Scales and comparisons
How big is 137691082349568?- 137,691,082,349,568 seconds is equal to 4,378,150 years, 26 weeks, 4 days, 10 hours, 52 minutes, 48 seconds.
-
To count from 1 to 137,691,082,349,568 would take you about ten million, nine hundred forty-five thousand, three hundred seventy-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 137691082349568 cubic inches would be around 4303.2 feet tall.
Recreational maths with 137691082349568
- 137691082349568 backwards is 865943280196731
- 137691082349568 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137691082349568's digits is 72
- More coming soon!
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Cite this page
MLA style:
"Number 137691082349568 - Facts about the integer". Numbermatics.com. 2024. Web. 28 June 2024.
APA style:
Numbermatics. (2024). Number 137691082349568 - Facts about the integer. Retrieved 28 June 2024, from https://numbermatics.com/n/137691082349568/
Chicago style:
Numbermatics. 2024. "Number 137691082349568 - Facts about the integer". https://numbermatics.com/n/137691082349568/
The information we have on file for 137691082349568 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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