131628801920
131,628,801,920 is an even composite number composed of six prime numbers multiplied together.
131628801920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 131628801920:
27 × 5 × 73 × 11 × 192 × 151
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 7 × 11 × 19 × 19 × 151)See below for interesting mathematical facts about the number 131628801920 from the Numbermatics database.
Names of 131628801920
- Cardinal: 131628801920 can be written as One hundred thirty-one billion, six hundred twenty-eight million, eight hundred one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3162880192 × 1011
Factors of 131628801920
Divisors of 131628801920
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 19 20 22 28 32 35 38 40 44 49 55 56 64 70 76 77 80 88 95 98 110 112 128 133 140 151 152 154 160 176 190 196 209 220 224 245 266 280 302 304 308 320 343 352 361 380 385 392 418 440 448 490 532 539 560 604 608 616 640 665 686 704 722 755 760 770 784 836 880 896 931 980 1045 1057 1064 1078 1120 1208 1216 1232 1330 1372 1408 1444 1463 1510 1520 1540 1568 1661 1672 1715 1760 1805 1862 1960 2090 2114 2128 2156 2240 2416 2432 2464 2527 2660 2695 2744 2869 2888 2926 3020 3040 3080 3136 3322 3344 3430 3520 3610 3724 3773 3920 3971 4180 4228 4256 4312 4480 4655 4832 4928 5054 5285 5320 5390 5488 5738 5776 5852 6040 6080 6160 6272 6517 6644 6688 6860 7040 7220 7315 7399 7448 7546 7840 7942 8305 8360 8456 8512 8624 9310 9664 9856 10108 10241 10570 10640 10780 10976 11476 11552 11627 11704 12080 12160 12320 12635 13034 13288 13376 13720 14345 14440 14630 14798 14896 15092 15680 15884 16610 16720 16912 17024 17248 17689 18620 18865 19328 19855 20083 20216 20482 21140 21280 21560 21952 22952 23104 23254 23408 24160 24640 25270 26068 26576 26752 27440 27797 28690 28880 29260 29596 29792 30184 31360 31559 31768 32585 33220 33440 33824 34496 35378 36995 37240 37730 39710 40166 40432 40964 42280 42560 43120 43904 45904 46208 46508 46816 48320 49280 50540 51205 51793 52136 53152 54511 54880 55594 57380 57760 58135 58520 59192 59584 60368 63118 63536 65170 66440 66880 67648 68992 70756 71687 73990 74480 75460 79420 80332 80864 81389 81928 84560 85120 86240 88445 91808 93016 93632 96640 100415 101080 102410 103586 104272 106304 109022 109760 111188 114760 115520 116270 117040 118384 119168 120736 123823 126236 127072 130340 132880 133760 135296 138985 140581 141512 143374 147980 148960 150920 157795 158840 160664 161728 162778 163856 169120 172480 176890 183616 186032 187264 194579 200830 202160 204820 207172 208544 212608 218044 219520 220913 222376 229520 231040 232540 234080 236768 241472 247646 252472 254144 258965 260680 265760 272555 277970 281162 283024 286748 295960 297920 301840 315590 317680 321328 323456 325556 327712 338240 344960 353780 358435 367232 372064 381577 389158 401660 404320 406945 409640 414344 417088 436088 441826 444752 459040 465080 468160 473536 482944 495292 504944 508288 517930 521360 531520 545110 555940 562324 566048 569723 573496 591920 595840 599621 603680 619115 631180 635360 642656 651112 655424 676480 702905 707560 716870 744128 763154 778316 803320 808640 813890 819280 828688 834176 872176 883652 889504 918080 930160 936320 947072 972895 984067 990584 1009888 1035860 1042720 1063040 1090220 1104565 1111880 1124648 1132096 1139446 1146992 1183840 1199242 1207360 1238230 1262360 1270720 1285312 1302224 1310848 1362053 1405810 1415120 1433740 1488256 1526308 1546391 1556632 1606640 1617280 1627780 1638560 1657376 1744352 1767304 1779008 1836160 1860320 1907885 1945790 1968134 1981168 2019776 2071720 2085440 2180440 2209130 2223760 2249296 2264192 2278892 2293984 2367680 2398484 2414720 2476460 2524720 2541440 2570624 2604448 2671039 2724106 2811620 2830240 2848615 2867480 2998105 3052616 3092782 3113264 3213280 3255560 3277120 3314752 3488704 3534608 3558016 3720640 3815770 3891580 3936268 3962336 4039552 4143440 4170880 4197347 4360880 4418260 4447520 4498592 4557784 4587968 4735360 4796968 4920335 4952920 5049440 5208896 5342078 5448212 5623240 5660480 5697230 5734960 5996210 6105232 6185564 6226528 6426560 6511120 6554240 6629504 6810265 6977408 7069216 7441280 7631540 7731955 7783160 7872536 7924672 8286880 8394694 8721760 8836520 8895040 8997184 9115568 9175936 9593936 9840670 9905840 10098880 10417792 10684156 10824737 10896424 11246480 11320960 11394460 11469920 11992420 12210464 12371128 12453056 12853120 13022240 13355195 13620530 14138432 15263080 15463910 15566320 15745072 15849344 16573760 16789388 17443520 17673040 17790080 17994368 18231136 18697273 19187872 19681340 19811680 20197760 20986735 21368312 21649474 21792848 22492960 22788920 22939840 23984840 24420928 24742256 24906112 26044480 26710390 27241060 28276864 29381429 30526160 30927820 31132640 31490144 33147520 33578776 34887040 35346080 36462272 37394546 38375744 39362680 39623360 41973470 42736624 43298948 43585696 44985920 45577840 45879680 47969680 48841856 49484512 52088960 53420780 54123685 54482120 58762858 61052320 61855640 62265280 62980288 67157552 70692160 72924544 74789092 76751488 78725360 79246720 83946940 85473248 86597896 87171392 89971840 91155680 93486365 95939360 98969024 106841560 108247370 108964240 117525716 122104640 123711280 124530560 125960576 134315104 141384320 146907145 149578184 157450720 167893880 170946496 173195792 174342784 182311360 186972730 191878720 197938048 205670003 213683120 216494740 217928480 235051432 244209280 247422560 268630208 293814290 299156368 314901440 335787760 341892992 346391584 364622720 373945460 383757440 411340006 427366240 432989480 435856960 470102864 494845120 537260416 587628580 598312736 629802880 671575520 692783168 747890920 822680012 854732480 865978960 871713920 940205728 989690240 1028350015 1175257160 1196625472 1343151040 1385566336 1495781840 1645360024 1709464960 1731957920 1880411456 2056700030 2350514320 2393250944 2686302080 2991563680 3290720048 3463915840 3760822912 4113400060 4701028640 5983127360 6581440096 6927831680 8226800120 9402057280 11966254720 13162880192 16453600240 18804114560 26325760384 32907200480 65814400960 131628801920
- Sum of all divisors σ(n): 425305728000
- Sum of proper divisors (its aliquot sum) s(n): 293676926080
- 131628801920 is an abundant number, because the sum of its proper divisors (293676926080) is greater than itself. Its abundance is 162048124160
Bases of 131628801920
- Binary: 11110101001011011000000011111100000002
- Hexadecimal: 0x1EA5B01F80
- Base-36: 1OGWE1KW
Squares and roots of 131628801920
- 131628801920 squared (1316288019202) is 17326141494894595686400
- 131628801920 cubed (1316288019203) is 2280619246869373426883632037888000
-
The
square root of 131628801920 is 362806.8383038005 -
The
cube root of 131628801920 is 5086.8661407433
Scales and comparisons
How big is 131628801920?- 131,628,801,920 seconds is equal to 4,185 years, 20 weeks, 1 day, 12 hours, 5 minutes, 20 seconds.
-
To count from 1 to 131,628,801,920 would take you about eight thousand, three hundred seventy 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 131628801920 cubic inches would be around 423.9 feet tall.
Recreational maths with 131628801920
- 131628801920 backwards is 029108826131
- The number of decimal digits it has is: 12
- The sum of 131628801920's digits is 41
- More coming soon!
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