13735417296992490
13,735,417,296,992,490 is an even composite number composed of six prime numbers multiplied together.
What does the number 13735417296992490 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1680 divisors.
13735417296992490 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 13735417296992490:
2 × 313 × 5 × 114 × 192 × 163
(2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 11 × 11 × 11 × 11 × 19 × 19 × 163)See below for interesting mathematical facts about the number 13735417296992490 from the Numbermatics database.
Names of 13735417296992490
- Cardinal: 13735417296992490 can be written as Thirteen quadrillion, seven hundred thirty-five trillion, four hundred seventeen billion, two hundred ninety-six million, nine hundred ninety-two thousand, four hundred ninety.
Scientific notation
- Scientific notation: 1.373541729699249 × 1016
Factors of 13735417296992490
Divisors of 13735417296992490
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 5 6 9 10 11 15 18 19 22 27 30 33 38 45 54 55 57 66 81 90 95 99 110 114 121 135 162 163 165 171 190 198 209 242 243 270 285 297 326 330 342 361 363 405 418 486 489 495 513 570 594 605 627 722 726 729 810 815 855 891 978 990 1026 1045 1083 1089 1210 1215 1254 1331 1458 1467 1485 1539 1630 1710 1782 1793 1805 1815 1881 2090 2166 2178 2187 2299 2430 2445 2565 2662 2673 2934 2970 3078 3097 3135 3249 3267 3586 3610 3630 3645 3762 3971 3993 4374 4401 4455 4598 4617 4890 5130 5346 5379 5415 5445 5643 6194 6270 6498 6534 6561 6655 6897 7290 7335 7695 7942 7986 8019 8802 8910 8965 9234 9291 9405 9747 9801 10758 10830 10890 10935 11286 11495 11913 11979 13122 13203 13310 13365 13794 13851 14641 14670 15390 15485 16038 16137 16245 16335 16929 17930 18582 18810 19494 19602 19683 19723 19855 19965 20691 21870 22005 22990 23085 23826 23958 24057 25289 26406 26730 26895 27702 27873 28215 29241 29282 29403 30970 32274 32490 32670 32805 33858 34067 34485 35739 35937 39366 39446 39609 39710 39930 40095 41382 41553 43681 43923 44010 46170 46455 48114 48411 48735 49005 50578 50787 53790 55746 56430 58482 58806 58843 59049 59169 59565 59895 62073 65610 66015 68134 68970 69255 71478 71874 72171 73205 75867 79218 80190 80685 83106 83619 84645 87362 87723 87846 88209 92910 96822 97470 98010 98415 98615 101574 102201 103455 107217 107811 117686 118098 118338 118827 119130 119790 120285 124146 124659 126445 131043 131769 132030 138510 139365 144342 145233 146205 146410 147015 151734 152361 161370 167238 169290 170335 175446 176418 176529 177147 177507 178695 179685 186219 196830 197230 198045 204402 206910 207765 214434 215622 216513 216953 218405 219615 227601 237654 240570 242055 249318 250857 252890 253935 262086 263169 263538 264627 278179 278730 290466 292410 294030 294215 295245 295845 304722 306603 310365 321651 323433 340670 353058 354294 355014 356481 357390 359370 360855 372438 373977 374737 379335 393129 395307 396090 415530 418095 433026 433906 435699 436810 438615 439230 441045 455202 457083 480491 484110 501714 507870 511005 526338 529254 529587 531441 532521 536085 539055 556358 558657 588430 590490 591690 594135 613206 620730 623295 643302 646866 647273 649539 650859 655215 658845 682803 712962 721710 726165 747954 749474 752571 758670 761805 786258 789507 790614 793881 834537 836190 871398 877230 882090 882645 885735 887535 914166 919809 931095 960982 964953 970299 1022010 1059174 1062882 1065042 1069443 1072170 1078110 1082565 1084765 1117314 1121931 1124211 1138005 1179387 1185921 1188270 1246590 1254285 1294546 1299078 1301718 1307097 1310430 1315845 1317690 1323135 1365606 1371249 1390895 1441473 1452330 1505142 1523610 1533015 1579014 1587762 1588761 1594323 1597563 1608255 1617165 1669074 1675971 1765290 1771470 1775070 1782405 1839618 1862190 1869885 1873685 1929906 1940598 1941819 1948617 1952577 1965645 1976535 2048409 2138886 2165130 2169530 2178495 2243862 2248422 2257713 2276010 2285415 2358774 2368521 2371842 2381643 2386483 2402455 2503611 2508570 2614194 2631690 2646270 2647935 2657205 2662605 2742498 2759427 2781790 2793285 2882946 2894859 2910897 3066030 3177522 3188646 3195126 3208329 3216510 3234330 3236365 3247695 3254295 3351942 3365793 3372633 3414015 3538161 3557763 3564810 3739770 3747370 3762855 3883638 3897234 3905154 3921291 3931290 3947535 3953070 3969405 4096818 4113747 4122107 4172685 4324419 4356990 4515426 4570830 4599045 4737042 4763286 4766283 4772966 4792689 4804910 4824765 4851495 5007222 5027913 5285401 5295870 5314410 5325210 5347215 5518854 5586570 5609655 5621055 5789718 5821794 5825457 5845851 5857731 5896935 5929605 6145227 6416658 6472730 6495390 6508590 6535485 6731586 6745266 6773139 6828030 6856245 7076322 7105563 7115526 7120003 7144929 7159449 7207365 7510833 7525710 7842582 7895070 7938810 7943805 7971615 7987815 8227494 8244214 8278281 8345370 8379855 8648838 8684577 8732691 9198090 9532566 9585378 9624987 9649530 9702990 9709095 9743085 9762885 10055826 10097379 10117899 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271569008205 280286038098 281838869334 283725130590 285476520285 295671451878 297496584297 312097643649 312715827630 314448325290 330551760330 331917676695 342571824342 343987410393 345893157819 346775159610 348208114815 348915747015 382208233770 384325730910 398301212034 403188343470 405677160405 418698896418 420429057147 422758304001 425587695885 443507177817 467143396830 469073741445 469731448890 486812592486 492785753130 495827640495 510705235062 513857736513 520162739415 543138016410 570953040570 573312350655 576488596365 594993168594 597451818051 624195287298 628048344627 663835353390 687974820786 691786315638 696416229630 697831494030 700715095245 704597173335 730218888729 739178629695 766057852593 811354320810 840858114294 845516608002 851175391770 856429560855 887014355634 892489752891 936292930947 938147482890 991655280990 995753030085 1027715473026 1031962231179 1040325478830 1046747241045 1146624701310 1152977192730 1194903636102 1217031481215 1256096689254 1261287171441 1268274912003 1276763087655 1401430190490 1409194346670 1460437777458 1478357259390 1487482921485 1532115705186 1541573209539 1560488218245 1712859121710 1719937051965 1729465789095 1784979505782 1872585861894 1884145033881 1991506060170 2063924462358 2093494482090 2102145285735 2113791520005 2190656666187 2217535889085 2434062962430 2522574342882 2536549824006 2553526175310 2569288682565 2677469258673 2808878792841 2974965842970 2987259090255 3083146419078 3120976436490 3140241723135 3439874103930 3458931578190 3651094443645 3768290067762 3783861514323 3804824736009 3830289262965 4204290571470 4227583040010 4381313332374 4435071778170 4462448764455 4624719628617 4681464654735 5138577365130 5159811155895 5354938517346 5617757585682 5652435101643 5974518180510 6280483446270 6306435857205 6341374560015 6571969998561 7302188887290 7567723028646 7609649472018 7660578525930 7707866047695 8032407776019 8426636378523 8924897528910 9249439257234 9362929309470 9420725169405 10319622311790 10953283330935 11304870203286 11351584542969 12612871714410 12682749120030 13143939997122 13387346293365 13874158885851 14044393964205 15415732095390 16064815552038 16853272757046 16957305304929 18841450338810 18919307571615 19024123680045 21906566661870 22703169085938 23123598143085 24097223328057 26774692586730 27748317771702 28088787928410 28262175508215 32859849992805 33914610609858 37838615143230 38048247360090 40162038880095 41622476657553 42133181892615 46247196286170 48194446656114 50871915914787 56524351016430 56757922714845 65719699985610 69370794429255 72291669984171 80324077760190 83244953315106 84266363785230 84786526524645 101743831829574 113515845429690 120486116640285 124867429972659 138741588858510 144583339968342 152615747744361 169573053049290 208112383287765 240972233280570 249734859945318 254359579573935 305231495488722 361458349920855 416224766575530 457847243233083 508719159147870 624337149863295 722916699841710 763078738721805 915694486466166 1248674299726590 1373541729699249 1526157477443610 2289236216165415 2747083459398498 4578472432330830 6867708648496245 13735417296992490
- Sum of all divisors σ(n): 43318113770751840
- Sum of proper divisors (its aliquot sum) s(n): 29582696473759350
- 13735417296992490 is an abundant number, because the sum of its proper divisors (29582696473759350) is greater than itself. Its abundance is 15847279176766860
Bases of 13735417296992490
- Binary: 1100001100110001001010000011001101010000111000111010102
- Hexadecimal: 0x30CC4A0CD438EA
- Base-36: 3R8SRLGNWMI
Squares and roots of 13735417296992490
- 13735417296992490 squared (137354172969924902) is 188661688322520480241199116400100
- 13735417296992490 cubed (137354172969924903) is 2591347017064953869662410946616438507165535249000
-
The
square root of 13735417296992490 is 117198196.6456501837 -
The
cube root of 13735417296992490 is 239486.2697398949
Scales and comparisons
How big is 13735417296992490?- 13,735,417,296,992,490 seconds is equal to 436,743,783 years, 31 weeks, 4 days, 17 hours, 1 minute, 30 seconds.
-
To count from 1 to 13,735,417,296,992,490 would take you about one billion, three hundred ten million, two hundred thirty-one thousand, three hundred fifty 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 13735417296992490 cubic inches would be around 19957.2 feet tall.
Recreational maths with 13735417296992490
- 13735417296992490 backwards is 09429969271453731
- 13735417296992490 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13735417296992490's digits is 81
- More coming soon!
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"Number 13735417296992490 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 13735417296992490 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/13735417296992490/
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The information we have on file for 13735417296992490 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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