138833792640
138,833,792,640 is an even composite number composed of six prime numbers multiplied together.
What does the number 138833792640 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 896 divisors.
138833792640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 138833792640:
27 × 36 × 5 × 29 × 31 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 29 × 31 × 331)See below for interesting mathematical facts about the number 138833792640 from the Numbermatics database.
Names of 138833792640
- Cardinal: 138833792640 can be written as One hundred thirty-eight billion, eight hundred thirty-three million, seven hundred ninety-two thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3883379264 × 1011
Factors of 138833792640
Divisors of 138833792640
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 31 32 36 40 45 48 54 58 60 62 64 72 80 81 87 90 93 96 108 116 120 124 128 135 144 145 155 160 162 174 180 186 192 216 232 240 243 248 261 270 279 288 290 310 320 324 331 348 360 372 384 405 432 435 464 465 480 486 496 522 540 558 576 580 620 640 648 662 696 720 729 744 783 810 837 864 870 899 928 930 960 972 992 993 1044 1080 1116 1152 1160 1215 1240 1296 1305 1324 1392 1395 1440 1458 1488 1566 1620 1655 1674 1728 1740 1798 1856 1860 1920 1944 1984 1986 2088 2160 2232 2320 2349 2430 2480 2511 2592 2610 2648 2697 2784 2790 2880 2916 2976 2979 3132 3240 3310 3348 3456 3480 3596 3645 3712 3720 3888 3915 3968 3972 4176 4185 4320 4464 4495 4640 4698 4860 4960 4965 5022 5184 5220 5296 5394 5568 5580 5760 5832 5952 5958 6264 6480 6620 6696 6960 7047 7192 7290 7440 7533 7776 7830 7944 8091 8352 8370 8640 8928 8937 8990 9280 9396 9599 9720 9920 9930 10044 10261 10368 10440 10592 10788 11136 11160 11664 11745 11904 11916 12528 12555 12960 13240 13392 13485 13920 14094 14384 14580 14880 14895 15066 15552 15660 15888 16182 16704 16740 17280 17856 17874 17980 18560 18792 19198 19440 19840 19860 20088 20522 20880 21141 21184 21576 22320 22599 23328 23490 23832 24273 25056 25110 25920 26480 26784 26811 26970 27840 28188 28768 28797 29160 29760 29790 30132 30783 31104 31320 31776 32364 33408 33480 35235 35712 35748 35960 37584 37665 38396 38880 39720 40176 40455 41044 41760 42282 42368 43152 44640 44685 45198 46656 46980 47664 47995 48546 50112 50220 51305 51840 52960 53568 53622 53940 55680 56376 57536 57594 58320 59520 59580 60264 61566 62640 63552 64728 66960 70470 71496 71920 72819 75168 75330 76792 77760 79440 80352 80433 80910 82088 83520 84564 86304 86391 89280 89370 90396 92349 93312 93960 95328 95990 97092 100224 100440 102610 105705 105920 107136 107244 107880 112752 112995 115072 115188 116640 119160 120528 121365 123132 125280 127104 129456 133920 134055 140940 142992 143840 143985 145638 150336 150660 153584 153915 155520 158880 160704 160866 161820 164176 167040 169128 172608 172782 178560 178740 180792 184698 187920 190656 191980 194184 200880 205220 211410 211840 214488 215760 218457 225504 225990 230376 233280 238320 241056 241299 242730 246264 250560 258912 259173 267840 268110 277047 281880 285984 287680 287970 291276 297569 300672 301320 307168 307830 317760 321408 321732 323640 328352 338256 345216 345564 357480 361584 364095 369396 375840 381312 383960 388368 401760 402165 410440 422820 428976 431520 431955 436914 451008 451980 460752 461745 466560 476640 482112 482598 485460 492528 501120 517824 518346 535680 536220 554094 563760 571968 575360 575940 582552 595138 602640 614336 615660 635520 643464 647280 655371 656704 676512 691128 714960 723168 728190 738792 751680 767920 776736 777519 803520 804330 820880 831141 845640 857952 863040 863910 873828 892707 902016 903960 921504 923490 953280 964224 965196 970920 985056 1035648 1036692 1072440 1092285 1108188 1127520 1143936 1151880 1165104 1190276 1205280 1206495 1228672 1231320 1286928 1294560 1295865 1310742 1313408 1353024 1382256 1385235 1429920 1446336 1456380 1477584 1487845 1503360 1535840 1553472 1555038 1607040 1608660 1641760 1662282 1691280 1715904 1726080 1727820 1747656 1785414 1807920 1843008 1846980 1906560 1930392 1941840 1970112 2073384 2144880 2184570 2216376 2255040 2303760 2330208 2332557 2380552 2410560 2412990 2462640 2493423 2573856 2589120 2591730 2621484 2678121 2706048 2764512 2770470 2859840 2892672 2912760 2955168 2975690 3071680 3106944 3110076 3217320 3276855 3283520 3324564 3382560 3431808 3455640 3495312 3570828 3615840 3686016 3693960 3860784 3883680 3887595 3940224 4146768 4155705 4289760 4369140 4432752 4463535 4510080 4607520 4660416 4665114 4761104 4821120 4825980 4925280 4986846 5147712 5178240 5183460 5242968 5356242 5529024 5540940 5719680 5825520 5910336 5951380 6143360 6220152 6434640 6553710 6567040 6649128 6765120 6911280 6990624 6997671 7141656 7231680 7387920 7480269 7721568 7767360 7775190 8034363 8293536 8311410 8579520 8738280 8865504 8927070 9215040 9320832 9330228 9522208 9651960 9850560 9973692 10295424 10366920 10485936 10712484 11058048 11081880 11651040 11662785 11820672 11902760 12440304 12467115 12869280 13107420 13298256 13390605 13530240 13822560 13981248 13995342 14283312 14463360 14775840 14960538 15443136 15534720 15550380 16068726 16587072 16622820 17159040 17476560 17731008 17854140 18430080 18660456 19044416 19303920 19701120 19947384 20733840 20971872 21424968 22163760 23302080 23325570 23805520 24103089 24880608 24934230 25738560 26214840 26596512 26781210 27645120 27962496 27990684 28566624 29551680 29921076 30886272 31100760 32137452 33174144 33245640 34953120 34988355 35462016 35708280 37320912 37401345 38088832 38607840 39894768 40171815 41467680 41943744 42849936 44327520 46604160 46651140 47611040 48206178 49761216 49868460 51477120 52429680 53193024 53562420 55290240 55981368 57133248 59103360 59842152 62201520 64274904 66491280 69906240 69976710 71416560 72309267 74641824 74802690 77215680 79789536 80343630 82935360 83887488 85699872 88655040 93302280 95222080 96412356 99522432 99736920 104859360 106386048 107124840 111962736 114266496 119684304 120515445 124403040 128549808 132982560 139812480 139953420 142833120 144618534 149283648 149605380 154431360 159579072 160687260 165870720 171399744 177310080 186604560 190444160 192824712 199473840 209718720 214249680 216927801 223925472 239368608 241030890 248806080 257099616 265965120 279906840 285666240 289237068 298567296 299210760 319158144 321374520 342799488 361546335 373209120 385649424 398947680 419437440 428499360 433855602 447850944 478737216 482061780 497612160 514199232 531930240 559813680 571332480 578474136 598421520 642749040 723092670 746418240 771298848 797895360 856998720 867711204 895701888 957474432 964123560 1028398464 1084639005 1119627360 1156948272 1196843040 1285498080 1446185340 1492836480 1542597696 1595790720 1713997440 1735422408 1928247120 2169278010 2239254720 2313896544 2393686080 2570996160 2892370680 3085195392 3470844816 3856494240 4338556020 4478509440 4627793088 4787372160 5141992320 5784741360 6941689632 7712988480 8677112040 9255586176 11569482720 13883379264 15425976960 17354224080 23138965440 27766758528 34708448160 46277930880 69416896320 138833792640
- Sum of all divisors σ(n): 532992268800
- Sum of proper divisors (its aliquot sum) s(n): 394158476160
- 138833792640 is an abundant number, because the sum of its proper divisors (394158476160) is greater than itself. Its abundance is 255324683520
Bases of 138833792640
- Binary: 100000010100110010001110001110100000002
- Hexadecimal: 0x2053238E80
- Base-36: 1RS22000
Squares and roots of 138833792640
- 138833792640 squared (1388337926402) is 19274821978806518169600
- 138833792640 cubed (1388337926403) is 2675996637778538618238638751744000
-
The
square root of 138833792640 is 372604.0695429935 -
The
cube root of 138833792640 is 5178.0359652645
Scales and comparisons
How big is 138833792640?- 138,833,792,640 seconds is equal to 4,414 years, 25 weeks, 1 day, 14 hours, 24 minutes.
-
To count from 1 to 138,833,792,640 would take you about eight thousand, eight hundred twenty-eight 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 138833792640 cubic inches would be around 431.5 feet tall.
Recreational maths with 138833792640
- 138833792640 backwards is 046297338831
- 138833792640 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138833792640's digits is 54
- More coming soon!
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The information we have on file for 138833792640 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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