137125940326764390
137,125,940,326,764,390 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137125940326764390 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
137125940326764390 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 137125940326764390:
2 × 32 × 5 × 29 × 613 × 113 × 1273
(2 × 3 × 3 × 5 × 29 × 61 × 61 × 61 × 113 × 127 × 127 × 127)See below for interesting mathematical facts about the number 137125940326764390 from the Numbermatics database.
Names of 137125940326764390
- Cardinal: 137125940326764390 can be written as One hundred thirty-seven quadrillion, one hundred twenty-five trillion, nine hundred forty billion, three hundred twenty-six million, seven hundred sixty-four thousand, three hundred ninety.
Scientific notation
- Scientific notation: 1.3712594032676439 × 1017
Factors of 137125940326764390
Divisors of 137125940326764390
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 5 6 9 10 15 18 29 30 45 58 61 87 90 113 122 127 145 174 183 226 254 261 290 305 339 366 381 435 522 549 565 610 635 678 762 870 915 1017 1098 1130 1143 1270 1305 1695 1769 1830 1905 2034 2286 2610 2745 3277 3390 3538 3683 3721 3810 5085 5307 5490 5715 6554 6893 7366 7442 7747 8845 9831 10170 10614 11049 11163 11430 13786 14351 15494 15921 16129 16385 17690 18415 18605 19662 20679 22098 22326 23241 26535 28702 29493 31842 32258 32770 33147 33489 34465 36830 37210 38735 41358 43053 46482 48387 49155 53070 55245 55815 58986 62037 66294 66978 68930 69723 71755 77470 79605 80645 86106 96774 98310 103395 107909 110490 111630 116205 124074 129159 139446 143510 145161 147465 159210 161290 165735 167445 199897 206790 215265 215818 224663 226981 232410 241935 258318 290322 294930 310185 323727 331470 334890 348615 399794 416179 420473 430530 449326 453962 467741 472567 483870 539545 599691 620370 645795 647454 673989 680943 697230 725805 832358 840946 875411 935482 945134 971181 983869 999485 1079090 1123315 1134905 1199382 1248537 1261419 1291590 1347978 1361886 1403223 1417701 1451610 1618635 1750822 1799073 1822577 1942362 1967738 1998970 2021967 2042829 2048383 2080895 2102365 2246630 2269810 2338705 2362835 2497074 2522838 2626233 2806446 2835402 2951607 2998455 3237270 3369945 3404715 3598146 3645154 3745611 3784257 4043934 4085658 4096766 4161790 4204730 4209669 4253103 4377055 4677410 4725670 4855905 4919345 5252466 5467731 5903214 5996910 6145149 6242685 6307095 6582449 6739890 6809430 7016115 7088505 7491222 7568514 7878699 8419338 8506206 8754110 8854821 8995365 9112885 9711810 9838690 10109835 10214145 10241915 10935462 12193717 12290298 12485370 12614190 13131165 13164898 13704443 14032230 14177010 14758035 15757398 16403193 17709642 17990730 18225770 18435447 18728055 18921285 19747347 20219670 20428290 20483830 21048345 21265515 24387434 25386919 25648853 26262330 27338655 27408886 28532201 28826587 29516070 30725745 32806386 32912245 36581151 36870894 37456110 37842570 39393495 39494694 41113329 42096690 42531030 44274105 50773838 51297706 52854733 53400071 54677310 57064402 57653174 59242041 59403107 60016009 60968585 61451490 65824490 68522215 73162302 76160757 76946559 78786990 82015965 82226658 85596603 86479761 88548210 92177235 98736735 105709466 106800142 109743453 111177197 118484082 118806214 120032018 121937170 123339987 124951363 126934595 128244265 137044430 142661005 144132935 152321514 153893118 158564199 160200213 164031930 171193206 172959522 178209321 180048027 182905755 184354470 197473470 205566645 219486906 222354394 228482271 230839677 231467279 246679974 249902726 253869190 256488530 256789809 259439283 264273665 267000355 285322010 288265870 296210205 297015535 300080045 317128398 320400426 333531591 356418642 360096054 365811510 374854089 380803785 384732795 411133290 427983015 432398805 456964542 461679354 462934558 475692597 480600639 513579618 518878566 528547330 534000710 534627963 540144081 548717265 555885985 592420410 594031070 600160090 616699935 624756815 667063182 694401837 743816737 749708178 761607570 769465590 792820995 801001065 835971023 855966030 864797610 891046605 900240135 951385194 961201278 1000594773 1069255926 1080288162 1097434530 1111771970 1124562267 1142411355 1154198385 1157336395 1233399870 1249513630 1283949045 1297196415 1388803674 1487633474 1548602059 1585641990 1602002130 1667657955 1671942046 1740464261 1782093210 1800480270 1874270445 2001189546 2083205511 2231450211 2249124534 2284822710 2308396770 2314672790 2378462985 2403003195 2507913069 2567898090 2594392830 2673139815 2700720405 3097204118 3224138713 3257404331 3335315910 3472009185 3480928522 3623589527 3660976549 3719083685 3748540890 4166411022 4179855115 4462900422 4645806177 4756925970 4806006390 5002973865 5015826138 5221392783 5346279630 5401440810 5622811335 6448277426 6514808662 6694350633 6712551091 6781809017 6944018370 7247179054 7321953098 7438167370 7523739207 7622033143 7743010295 8359710230 8702321305 9291612354 9672416139 9772212993 10005947730 10416027555 10442785566 10870768581 10982929647 11157251055 11245622670 12539565345 13388701266 13425102182 13563618034 13937418531 14119504019 15047478414 15244066286 15486020590 15664178349 16120693565 16287021655 17404642610 18117947635 18304882745 19344832278 19544425986 20137653273 20345427051 20832055110 21741537162 21965859294 22314502110 22866099429 23229030885 25079130690 26106963915 27874837062 28239008038 29017248417 29316638979 31328356698 32241387130 32574043310 32612305743 32948788941 33471753165 33562755455 33909045085 36235895270 36609765490 37618696035 38110165715 40275306546 40690854102 42358512057 45732198858 46458061770 48362080695 48861064965 52213927830 54353842905 54914648235 58034496834 58633277958 60412959819 61036281153 65224611486 65897577882 66943506330 67125510910 67818090170 68598298287 69687092655 70597520095 75237392070 76220331430 78320891745 84717024114 94464725599 96724161390 97722129930 100688266365 101727135255 106168319921 108707685810 109829296470 114330497145 120825919638 122072562306 127075536171 137196596574 139374185310 141195040190 145086242085 146583194895 156641783490 163061528715 164743944705 188929451198 196672461493 201376532730 203454270510 211792560285 212336639842 221038961147 228660994290 254151072342 283394176797 290172484170 293166389790 302064799095 305181405765 318504959763 326123057430 329487889410 342991491435 393344922986 409465616551 413690350037 423585120570 442077922294 464944021723 472323627995 530841599605 566788353594 590017384479 604129598190 610362811530 635377680855 637009919526 663116883441 685982982870 818931233102 827380700074 850182530391 861289745159 929888043446 944647255990 955514879289 983362307465 1061683199210 1105194805735 1180034768958 1228396849653 1241071050111 1270755361710 1326233766882 1394832065169 1416970883985 1592524798815 1700365060782 1722579490318 1770052153437 1911029758578 1966724614930 1989350650323 2047328082755 2068451750185 2210389611470 2324720108615 2456793699306 2482142100222 2583869235477 2789664130338 2833941767970 2950086922395 3185049597630 3315584417205 3540104306874 3685190548959 3723213150333 3978701300646 4094656165510 4136903500370 4184496195507 4250912651955 4306448725795 4649440217230 4777574396445 5167738470954 5900173844790 6141984248265 6205355250555 6631168834410 6974160325845 7370381097918 7446426300666 7751607706431 8368992391014 8501825303910 8612897451590 8850260767185 9555148792890 9946753251615 11997020151073 12283968496530 12410710501110 12919346177385 13483376629967 13948320651690 15503215412862 17700521534370 18425952744795 18616065751665 19893506503230 20922480977535 23994040302146 24977402609611 25838692354770 26966753259934 35991060453219 36851905489590 37232131503330 38758038532155 40450129889901 41844961955070 49954805219222 52538674454699 59985100755365 67416883149835 71982120906438 74932207828833 77516077064310 80900259779802 105077348909398 107973181359657 119970201510730 121350389669703 124887013048055 134833766299670 149864415657666 157616023364097 179955302266095 202250649449505 215946362719314 224796623486499 242700779339406 249774026096110 262693372273495 315232046728194 359910604532190 374661039144165 404501298899010 449593246972998 472848070092291 525386744546990 539865906798285 606751948348515 749322078288330 788080116820485 945696140184582 1079731813596570 1123983117432495 1213503896697030 1523621559186271 1576160233640970 2247966234864990 2364240350461455 3047243118372542 4570864677558813 4728480700922910 7618107795931355 9141729355117626 13712594032676439 15236215591862710 22854323387794065 27425188065352878 45708646775588130 68562970163382195 137125940326764390
- Sum of all divisors σ(n): 381289072451788800
- Sum of proper divisors (its aliquot sum) s(n): 244163132125024410
- 137125940326764390 is an abundant number, because the sum of its proper divisors (244163132125024410) is greater than itself. Its abundance is 107037191798260020
Bases of 137125940326764390
- Binary: 1111001110010101101010000111100101010101100001111011001102
- Hexadecimal: 0x1E72B50F2AB0F66
- Base-36: 11I737BZP0TI
Squares and roots of 137125940326764390
- 137125940326764390 squared (1371259403267643902) is 18803523510499348381328166572072100
- 137125940326764390 cubed (1371259403267643903) is 2578450842833644905936081458894150200015530792519000
-
The
square root of 137125940326764390 is 370305198.8924330373 -
The
cube root of 137125940326764390 is 515671.5910083617
Scales and comparisons
How big is 137125940326764390?- 137,125,940,326,764,390 seconds is equal to 4,360,180,744 years, 3 days, 46 minutes, 30 seconds.
-
To count from 1 to 137,125,940,326,764,390 would take you about thirteen billion, eighty million, five hundred forty-two thousand, two hundred thirty-two 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 137125940326764390 cubic inches would be around 42972.6 feet tall.
Recreational maths with 137125940326764390
- 137125940326764390 backwards is 093467623049521731
- The number of decimal digits it has is: 18
- The sum of 137125940326764390's digits is 72
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 137125940326764390 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
APA style:
Numbermatics. (2024). Number 137125940326764390 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/137125940326764390/
Chicago style:
Numbermatics. 2024. "Number 137125940326764390 - Facts about the integer". https://numbermatics.com/n/137125940326764390/
The information we have on file for 137125940326764390 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!
Keywords: Divisors of 137125940326764390, math, Factors of 137125940326764390, curriculum, school, college, exams, university, Prime factorization of 137125940326764390, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, one hundred twenty-five trillion, nine hundred forty billion, three hundred twenty-six million, seven hundred sixty-four thousand, three hundred ninety.