137312803321980
137,312,803,321,980 is an even composite number composed of nine prime numbers multiplied together.
What does the number 137312803321980 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 1152 divisors.
137312803321980 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 137312803321980:
22 × 3 × 5 × 112 × 13 × 37 × 71 × 521 × 1063
(2 × 2 × 3 × 5 × 11 × 11 × 13 × 37 × 71 × 521 × 1063)See below for interesting mathematical facts about the number 137312803321980 from the Numbermatics database.
Names of 137312803321980
- Cardinal: 137312803321980 can be written as One hundred thirty-seven trillion, three hundred twelve billion, eight hundred three million, three hundred twenty-one thousand, nine hundred eighty.
Scientific notation
- Scientific notation: 1.3731280332198 × 1014
Factors of 137312803321980
Divisors of 137312803321980
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 37 39 44 52 55 60 65 66 71 74 78 110 111 121 130 132 142 143 148 156 165 185 195 213 220 222 242 260 284 286 330 355 363 370 390 407 426 429 444 481 484 521 555 572 605 660 710 715 726 740 780 781 814 852 858 923 962 1042 1063 1065 1110 1210 1221 1420 1430 1443 1452 1562 1563 1573 1628 1716 1815 1846 1924 2035 2084 2126 2130 2145 2220 2343 2405 2420 2442 2605 2627 2769 2860 2886 3124 3126 3146 3189 3630 3692 3905 4070 4252 4260 4290 4477 4615 4686 4719 4810 4884 5210 5254 5291 5315 5538 5731 5772 6105 6252 6292 6378 6773 7215 7260 7810 7815 7865 7881 8140 8580 8591 8954 9230 9372 9438 9620 10153 10420 10508 10582 10630 11076 11462 11693 11715 12210 12756 13135 13431 13546 13819 13845 14430 15620 15630 15730 15762 15873 15945 17182 17193 17908 18460 18876 19277 20306 20319 21164 21260 22385 22924 23386 23430 23595 24420 25773 26270 26455 26862 27092 27638 27690 28655 28860 28897 30459 31260 31460 31524 31746 31890 33865 34151 34364 34386 35079 36991 38554 39331 39405 40612 40638 41457 42955 44770 46772 46860 47190 50765 51546 52540 52910 53724 55276 55380 57310 57794 57831 58201 58465 60918 63041 63492 63780 67155 67730 68302 68772 69095 70158 73982 74503 75473 77108 78662 78810 79365 81276 82914 85910 85965 86691 89540 94380 96385 101530 101595 102453 103092 105820 110973 111683 114620 115588 115662 116402 116930 117993 121836 126082 128623 128865 134310 135460 136604 138190 140316 144485 147964 149006 150946 152009 152295 157324 157620 158730 165828 170755 171820 171930 173382 174603 175395 184955 189123 192770 196655 203060 203190 204906 207285 212047 221946 223366 223509 226419 231324 232804 233860 235986 250601 252164 257246 257730 268620 276380 288970 289155 291005 298012 301892 304018 304590 315205 317460 317867 335049 341510 343860 346764 349206 350790 369910 372515 375661 377365 378246 385540 385869 393310 406380 406901 409812 414570 424094 432641 433455 443892 446732 447018 452838 456027 471972 480883 501202 511303 512265 514492 515460 553823 554865 558415 577940 578310 582010 589965 608036 609180 630410 635734 636141 643115 670098 683020 698412 701580 739820 745030 751322 751803 754730 756492 760045 771738 786620 813802 819533 829140 830203 848188 865282 866910 873015 894036 905676 912054 945615 953601 961766 981149 1002404 1022606 1024530 1060235 1107646 1109730 1116830 1117545 1126983 1132095 1156620 1164020 1179930 1220703 1253005 1260820 1271468 1272282 1286230 1297923 1340196 1368667 1442649 1490060 1502644 1503606 1509460 1520090 1533909 1543476 1589335 1627604 1639066 1660406 1661469 1672099 1675245 1730564 1733820 1746030 1824108 1878305 1891230 1907202 1923532 1929345 1962298 2034505 2045212 2049060 2120470 2163205 2215292 2219460 2233660 2235090 2253966 2264190 2280135 2332517 2359860 2404415 2441406 2458599 2490609 2506010 2544564 2556515 2572460 2595846 2737334 2756611 2769115 2792501 2885298 2943447 3007212 3040180 3067818 3178670 3180705 3278132 3320812 3322938 3344198 3350490 3492060 3756610 3759015 3782460 3814404 3858690 3924596 4069010 4097665 4106001 4132271 4151015 4240940 4326410 4470180 4475911 4507932 4528380 4560270 4665034 4759051 4768005 4808830 4882812 4905745 4917198 4981218 5012020 5016297 5113030 5191692 5289713 5474668 5513222 5538230 5585002 5624333 5634915 5770596 5886894 6092053 6103515 6135636 6357340 6361410 6489615 6645876 6688396 6700980 6843335 6997551 7199699 7213245 7513220 7518030 7669545 7717380 8138020 8195330 8212002 8264542 8269833 8302030 8307345 8360495 8377503 8652820 8951822 9120540 9132233 9330068 9518102 9536010 9617660 9811490 9834396 9962436 10032594 10226060 10579426 10792639 11026444 11076460 11170004 11248666 11269830 11662585 11773788 12184106 12207030 12292995 12396813 12453045 12722820 12979230 13427733 13686670 13783055 13962505 13995102 14277153 14399398 14426490 14717235 15036060 15055337 15339090 15869139 16390660 16424004 16529084 16539666 16604060 16614690 16720990 16755006 16872999 17792671 17903644 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14548930210 14651387465 14876793426 15335358870 15983331780 16003823231 16868894757 17423271580 17458716252 17570416292 17581664958 18913609273 19031573572 20273557260 21529131910 21823395315 21963020365 22491859676 23789466965 23959658580 24794655710 25834958292 25952145780 26134907370 26355624438 28114824595 28547360358 29097860420 29302774930 29753586852 30670717740 32007646462 32233052423 32293697865 33737789514 35163329916 37191983565 37827218546 43058263820 43646790630 43926040730 43954162395 47578933930 48011469693 49589311420 52269814740 52711248876 56229649190 56740827819 57094720716 58605549860 61852614109 64015292924 64466104846 64587395730 65889061095 67475579028 71368400895 74383967130 75654437092 80019116155 84344473785 87293581260 87852081460 87908324790 94568046365 95157867860 96022939386 96699157269 112459298380 113481655638 123705228218 128932209692 129174791460 131778122190 142736801790 148767934260 160038232310 161165262115 168688947570 175816649580 176042055541 185557842327 189136092730 192045878772 193398314538 208049702003 226963311276 240057348465 247410456436 263556244380 283704139095 285473603580 309263070545 320076464620 322330524230 337377895140 352084111082 371115684654 378272185460 386796629076 416099404006 480114696930 483495786345 528126166623 567408278190 618526141090 624149106009 644661048460 704168222164 742231369308 832198808012 880210277705 927789211635 960229393860 966991572690 1040248510015 1056252333246 1134816556380 1237052282180 1248298212018 1760420555410 1855578423270 1933983145380 2080497020030 2112504666492 2288546722033 2496596424036 2640630833115 3120745530045 3520841110820 3711156846540 4160994040060 4577093444066 5281261666230 6241491060090 6865640166099 9154186888132 10562523332460 11442733610165 12482982120180 13731280332198 22885467220330 27462560664396 34328200830495 45770934440660 68656401660990 137312803321980
- Sum of all divisors σ(n): 475354032427008
- Sum of proper divisors (its aliquot sum) s(n): 338041229105028
- 137312803321980 is an abundant number, because the sum of its proper divisors (338041229105028) is greater than itself. Its abundance is 200728425783048
Bases of 137312803321980
- Binary: 111110011100010101000001101110101111000011111002
- Hexadecimal: 0x7CE2A0DD787C
- Base-36: 1CO8MPSB5O
Squares and roots of 137312803321980
- 137312803321980 squared (1373128033219802) is 18854805956140761723551120400
- 137312803321980 cubed (1373128033219803) is 2589006261929653476574117915663470946392000
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The
square root of 137312803321980 is 11718054.5877709581 -
The
cube root of 137312803321980 is 51590.5721766015
Scales and comparisons
How big is 137312803321980?- 137,312,803,321,980 seconds is equal to 4,366,122 years, 21 weeks, 1 day, 23 hours, 13 minutes.
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To count from 1 to 137,312,803,321,980 would take you about ten million, nine hundred fifteen thousand, three hundred 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 137312803321980 cubic inches would be around 4299.2 feet tall.
Recreational maths with 137312803321980
- 137312803321980 backwards is 089123308213731
- The number of decimal digits it has is: 15
- The sum of 137312803321980's digits is 51
- More coming soon!
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The information we have on file for 137312803321980 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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