131996839328640
131,996,839,328,640 is an even composite number composed of six prime numbers multiplied together.
What does the number 131996839328640 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
131996839328640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 131996839328640:
27 × 32 × 5 × 11 × 132 × 35112
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 13 × 13 × 3511 × 3511)See below for interesting mathematical facts about the number 131996839328640 from the Numbermatics database.
Names of 131996839328640
- Cardinal: 131996839328640 can be written as One hundred thirty-one trillion, nine hundred ninety-six billion, eight hundred thirty-nine million, three hundred twenty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3199683932864 × 1014
Factors of 131996839328640
Divisors of 131996839328640
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 30 32 33 36 39 40 44 45 48 52 55 60 64 65 66 72 78 80 88 90 96 99 104 110 117 120 128 130 132 143 144 156 160 165 169 176 180 192 195 198 208 220 234 240 260 264 286 288 312 320 330 338 352 360 384 390 396 416 429 440 468 480 495 507 520 528 572 576 585 624 640 660 676 704 715 720 780 792 832 845 858 880 936 960 990 1014 1040 1056 1144 1152 1170 1248 1287 1320 1352 1408 1430 1440 1521 1560 1584 1664 1690 1716 1760 1859 1872 1920 1980 2028 2080 2112 2145 2288 2340 2496 2535 2574 2640 2704 2860 2880 3042 3120 3168 3380 3432 3511 3520 3718 3744 3960 4056 4160 4224 4290 4576 4680 4992 5070 5148 5280 5408 5577 5720 5760 6084 6240 6336 6435 6760 6864 7022 7040 7436 7488 7605 7920 8112 8320 8580 9152 9295 9360 10140 10296 10533 10560 10816 11154 11440 12168 12480 12672 12870 13520 13728 14044 14872 14976 15210 15840 16224 16731 17160 17555 18304 18590 18720 20280 20592 21066 21120 21632 22308 22880 24336 24960 25740 27040 27456 27885 28088 29744 30420 31599 31680 32448 33462 34320 35110 37180 37440 38621 40560 41184 42132 44616 45643 45760 48672 51480 52665 54080 54912 55770 56176 59488 60840 63198 63360 64896 66924 68640 70220 74360 74880 77242 81120 82368 83655 84264 89232 91286 91520 97344 102960 105330 108160 111540 112352 115863 118976 121680 126396 133848 136929 137280 140440 148720 154484 157995 162240 164736 167310 168528 178464 182572 193105 194688 205920 210660 223080 224704 228215 231726 237952 243360 252792 267696 273858 274560 280880 297440 308968 315990 324480 334620 337056 347589 356928 365144 386210 410787 411840 421320 446160 449408 456430 463452 486720 502073 505584 535392 547716 561760 579315 593359 594880 617936 631980 669240 674112 684645 695178 713856 730288 772420 821574 823680 842640 892320 912860 926904 973440 1004146 1011168 1070784 1095432 1123520 1158630 1186718 1189760 1235872 1263960 1338480 1348224 1369290 1390356 1460576 1506219 1544840 1643148 1685280 1737945 1780077 1784640 1825720 1853808 2008292 2022336 2053935 2141568 2190864 2247040 2317260 2373436 2471744 2510365 2527920 2676960 2738580 2780712 2921152 2966795 3012438 3089680 3286296 3370560 3475890 3560154 3569280 3651440 3707616 4016584 4044672 4107870 4381728 4518657 4634520 4746872 4943488 5020730 5055840 5340231 5353920 5477160 5561424 5842304 5933590 6024876 6179360 6526949 6572592 6741120 6951780 7120308 7302880 7415232 7531095 8033168 8215740 8763456 8900385 9037314 9269040 9493744 10041460 10111680 10680462 10707840 10954320 11122848 11867180 12049752 12327121 12358720 13053898 13145184 13903560 14240616 14605760 14830464 15062190 16066336 16431480 17526912 17800770 18074628 18538080 18987488 19580847 20082920 20223360 21360924 21908640 22245696 22593285 23734360 24099504 24654242 24717440 26107796 26290368 26701155 27807120 28481232 29211520 30124380 32132672 32634745 32862960 35601540 36149256 36981363 37076160 37974976 39161694 40165840 42721848 43817280 44491392 45186570 47468720 48199008 49308484 52215592 52580736 53402310 55614240 56962464 58742541 60248760 61635605 64265344 65269490 65725920 71203080 72298512 73962726 74152320 75949952 78323388 80331680 85443696 87634560 90373140 94937440 96398016 97904235 98616968 104431184 106804620 110944089 111228480 113924928 117485082 120497520 123271210 130538980 131451840 135598331 142406160 144597024 147925452 156646776 160252573 160663360 170887392 180746280 184906815 189874880 192796032 195808470 197233936 208862368 213609240 221888178 222456960 227849856 234970164 240995040 246542420 261077960 262903680 271196662 284812320 289194048 293712705 295850904 313293552 320505146 321326720 341774784 361492560 369813630 379749760 391616940 394467872 406794993 417724736 427218480 443776356 469940328 480757719 481990080 493084840 522155920 542393324 554720445 569624640 578388096 587425410 591701808 626587104 641010292 677991655 683549568 722985120 739627260 783233880 788935744 801262865 813589986 835449472 854436960 887552712 939880656 961515438 963980160 986169680 1044311840 1084786648 1109440890 1139249280 1174850820 1183403616 1220384979 1253174208 1282020584 1355983310 1442273157 1445970240 1479254520 1566467760 1577871488 1602525730 1627179972 1708873920 1762778303 1775105424 1879761312 1923030876 1972339360 2033974965 2083283449 2088623680 2169573296 2218881780 2349701640 2366807232 2403788595 2440769958 2506348416 2564041168 2711966620 2884546314 2891940480 2958509040 3132935520 3205051460 3254359944 3417747840 3525556606 3550210848 3759522624 3846061752 3944678720 4067949930 4166566898 4177247360 4339146592 4437763560 4699403280 4733614464 4807577190 4881539916 5128082336 5288334909 5423933240 5769092628 5917018080 6101924895 6249850347 6265871040 6410102920 6508719888 7051113212 7100421696 7211365785 7519045248 7692123504 7889357440 8135899860 8333133796 8678293184 8813891515 8875527120 9398806560 9615154380 9763079832 10256164672 10416417245 10576669818 10847866480 11538185256 11834036160 12203849790 12499700694 12531742080 12820205840 13017439776 14102226424 14200843392 14422731570 15384247008 15865004727 16271799720 16666267592 17356586368 17627783030 17751054240 18749551041 18797613120 19230308760 19526159664 20512329344 20832834490 21153339636 21695732960 22916117939 23076370512 23668072320 24407699580 24999401388 25640411680 26034879552 26441674545 28204452848 28845463140 30768494016 31249251735 31730009454 32543599440 33332535184 35255566060 35502108480 37499102082 37595226240 38460617520 39052319328 41665668980 42306679272 43391465920 45832235878 46152741024 48815399160 49998802776 51280823360 52069759104 52883349090 56408905696 57690926280 61536988032 62498503470 63460018908 65087198880 66665070368 68748353817 70511132120 71004216960 74998204164 76921235040 78104638656 79325023635 83331337960 84613358544 86782931840 91664471756 92305482048 93747755205 97630798320 99997605552 102561646720 105766698180 112817811392 114580589695 115381852560 124997006940 126920037816 130174397760 133330140736 137496707634 141022264240 149996408328 153842470080 156209277312 158650047270 166662675920 169226717088 183328943512 184610964096 187495510410 195261596640 199995211104 206245061451 211533396360 225635622784 229161179390 230763705120 249994013880 253840075632 260348795520 266660281472 274993415268 282044528480 299992816656 307684940160 317300094540 333325351840 338453434176 343741769085 366657887024 374991020820 390523193280 399990422208 412490122902 423066792720 458322358780 461527410240 499988027760 507680151264 549986830536 564089056960 599985633312 634600189080 666650703680 676906868352 687483538170 733315774048 749982041640 781046386560 799980844416 824980245804 846133585440 916644717560 923054820480 999976055520 1015360302528 1031225307255 1099973661072 1128178113920 1199971266624 1269200378160 1333301407360 1374967076340 1466631548096 1499964083280 1649960491608 1692267170880 1833289435120 1999952111040 2030720605056 2062450614510 2199947322144 2399942533248 2538400756320 2749934152680 2933263096192 2999928166560 3299920983216 3384534341760 3666578870240 3999904222080 4124901229020 4399894644288 5076801512640 5499868305360 5999856333120 6599841966432 7333157740480 8249802458040 8799789288576 10153603025280 10999736610720 11999712666240 13199683932864 14666315480960 16499604916080 21999473221440 26399367865728 32999209832160 43998946442880 65998419664320 131996839328640
- Sum of all divisors σ(n): 538582813652520
- Sum of proper divisors (its aliquot sum) s(n): 406585974323880
- 131996839328640 is an abundant number, because the sum of its proper divisors (406585974323880) is greater than itself. Its abundance is 274589134995240
Bases of 131996839328640
- Binary: 111100000001100111010001011100000111011100000002
- Hexadecimal: 0x780CE8B83B80
- Base-36: 1ASEIE2U80
Squares and roots of 131996839328640
- 131996839328640 squared (1319968393286402) is 17423165592750803445924249600
- 131996839328640 cubed (1319968393286403) is 2299802789342616509973932425115559788544000
-
The
square root of 131996839328640 is 11488987.7416872545 -
The
cube root of 131996839328640 is 50916.0273041751
Scales and comparisons
How big is 131996839328640?- 131,996,839,328,640 seconds is equal to 4,197,091 years, 10 weeks, 1 day, 22 hours, 24 minutes.
-
To count from 1 to 131,996,839,328,640 would take you about ten million, four hundred ninety-two thousand, seven hundred twenty-seven 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 131996839328640 cubic inches would be around 4243 feet tall.
Recreational maths with 131996839328640
- 131996839328640 backwards is 046823938699131
- 131996839328640 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 131996839328640's digits is 72
- More coming soon!
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The information we have on file for 131996839328640 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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