138401806400
138,401,806,400 is an even composite number composed of seven prime numbers multiplied together.
138401806400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 138401806400:
26 × 52 × 11 × 132 × 19 × 31 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 13 × 13 × 19 × 31 × 79)See below for interesting mathematical facts about the number 138401806400 from the Numbermatics database.
Names of 138401806400
- Cardinal: 138401806400 can be written as One hundred thirty-eight billion, four hundred one million, eight hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 1.384018064 × 1011
Factors of 138401806400
Divisors of 138401806400
- Number of divisors d(n): 1008
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 19 20 22 25 26 31 32 38 40 44 50 52 55 62 64 65 76 79 80 88 95 100 104 110 124 130 143 152 155 158 160 169 176 190 200 208 209 220 247 248 260 275 286 304 310 316 320 325 338 341 352 380 395 400 403 416 418 440 475 494 496 520 550 572 589 608 620 632 650 676 682 704 715 760 775 790 800 806 832 836 845 869 880 950 988 992 1027 1040 1045 1100 1144 1178 1216 1235 1240 1264 1300 1352 1364 1430 1501 1520 1550 1580 1600 1612 1672 1690 1705 1738 1760 1859 1900 1975 1976 1984 2015 2054 2080 2090 2200 2288 2356 2449 2470 2480 2528 2600 2704 2717 2728 2860 2945 3002 3040 3100 3160 3211 3224 3344 3380 3410 3476 3520 3575 3718 3800 3950 3952 4030 4108 4160 4180 4225 4345 4400 4433 4576 4712 4898 4940 4960 5056 5135 5200 5225 5239 5408 5434 5456 5720 5890 6004 6080 6175 6200 6320 6422 6448 6479 6688 6760 6820 6952 7150 7436 7505 7600 7657 7900 7904 8060 8216 8360 8450 8525 8690 8800 8866 9152 9295 9424 9796 9880 9920 10075 10270 10400 10450 10478 10816 10868 10912 11297 11440 11780 12008 12245 12350 12400 12640 12844 12896 12958 13351 13376 13520 13585 13640 13904 14300 14725 14872 15010 15200 15314 15800 15808 16055 16120 16432 16511 16720 16900 17050 17380 17600 17732 18590 18848 19513 19592 19760 20150 20540 20800 20900 20956 21725 21736 21824 22165 22594 22880 23560 24016 24490 24700 24800 25280 25675 25688 25792 25916 26195 26702 26939 27040 27170 27280 27808 28600 29450 29744 30020 30400 30628 31600 31837 32110 32240 32395 32864 33022 33440 33800 34100 34760 35321 35464 37180 37525 37696 38285 39026 39184 39520 40300 41080 41800 41912 43450 43472 44330 45188 45760 46475 46531 47120 48032 48980 49400 49600 51350 51376 51832 52390 53404 53878 54080 54340 54560 55616 56485 57200 57629 58900 59488 60040 61225 61256 63200 63674 64220 64480 64790 65728 66044 66755 66880 67600 67925 68200 69520 70642 70928 74360 75050 76570 78052 78368 79040 80275 80600 82160 82555 83600 83824 84227 86900 86944 88660 90376 92950 93062 94240 96064 97565 97960 98800 99541 102700 102752 103664 104780 106808 107756 108680 109120 110825 112970 114400 115258 117800 118976 120080 122450 122512 126400 127348 128440 128960 129580 130975 132088 133510 134695 135200 135850 136400 139040 141284 141856 146861 148720 150100 153140 156104 156736 159185 160550 161200 161975 164320 165110 167200 167648 168454 173800 173888 176605 177320 180752 185900 186124 188480 191425 195130 195920 197600 199082 205400 205504 207328 209560 213616 214643 215512 217360 221650 225940 228800 230516 232655 235600 240160 244900 245024 253669 254696 256880 259160 261950 264176 267020 269390 270400 271700 272800 278080 282425 282568 283712 288145 293722 297440 300200 306280 312208 318370 321100 322400 323950 328640 330220 333775 334400 335296 336908 347600 350207 353210 354640 361504 371800 372248 382850 390260 391840 395200 398164 410800 412775 413881 414656 419120 421135 427232 429286 431024 434720 443300 451880 461032 465310 471200 480320 487825 489800 490048 497705 507338 509392 511841 513760 518320 523900 528352 534040 538780 543400 545600 564850 565136 576290 587444 594880 600400 604903 612560 624416 636740 642200 644800 647900 660440 667550 673475 673816 695200 700414 706420 709280 723008 734305 743600 744496 765700 780520 783680 795925 796328 821600 825550 827762 838240 842270 854464 858572 862048 869440 883025 886600 903760 922064 930620 942400 975650 979600 995410 1014676 1018784 1023682 1027520 1036640 1047800 1056704 1068080 1073215 1077560 1086800 1094951 1129700 1130272 1152580 1163275 1174888 1200800 1209806 1225120 1248832 1268345 1273480 1284400 1295800 1320880 1335100 1346950 1347632 1390400 1400828 1412840 1418560 1440725 1468610 1487200 1488992 1531400 1561040 1591850 1592656 1643200 1651100 1655524 1676480 1684540 1717144 1724096 1751035 1766050 1773200 1807520 1844128 1861240 1951300 1959200 1990820 2029352 2037568 2047364 2069405 2073280 2095600 2105675 2136160 2146430 2155120 2173600 2189902 2259400 2260544 2305160 2326550 2349776 2401600 2419612 2450240 2488525 2536690 2546960 2559205 2568800 2591600 2641760 2670200 2693900 2695264 2790359 2801656 2825680 2881450 2937220 2974400 2977984 3024515 3062800 3122080 3183700 3185312 3302200 3311048 3369080 3434288 3502070 3532100 3546400 3615040 3671525 3688256 3722480 3902600 3918400 3981640 4058704 4094728 4138810 4191200 4211350 4272320 4292860 4310240 4347200 4379804 4518800 4552691 4610320 4653100 4699552 4839224 4977050 5073380 5093920 5118410 5137600 5183200 5283520 5340400 5366075 5387800 5390528 5474755 5580718 5603312 5651360 5762900 5874440 6049030 6125600 6244160 6341725 6367400 6370624 6604400 6622096 6653933 6738160 6868576 7004140 7064200 7092800 7343050 7444960 7805200 7863739 7963280 8117408 8189456 8277620 8382400 8422700 8585720 8620480 8755175 8759608 9037600 9105382 9220640 9306200 9399104 9678448 9954100 10146760 10187840 10236820 10347025 10366400 10680800 10732150 10775600 10949510 11161436 11206624 11302720 11525800 11748880 12098060 12251200 12683450 12734800 12796025 13208800 13244192 13307866 13476320 13737152 13951795 14008280 14128400 14686100 14889920 15122575 15610400 15727478 15926560 16234816 16378912 16555240 16845400 17171440 17510350 17519216 18075200 18210764 18441280 18612400 19356896 19908200 20293520 20473640 20694050 21361600 21464300 21551200 21899020 22322872 22413248 22763455 23051600 23497760 24196120 25366900 25469600 25592050 26417600 26488384 26615732 26952640 27373775 27903590 28016560 28256800 29372200 30245150 31220800 31454956 31853120 32757824 33110480 33269665 33690800 34342880 35020700 35038432 36421528 37224800 38713792 39318695 39816400 40587040 40947280 41388100 42928600 43102400 43798040 44645744 45526910 46103200 46995520 48392240 50733800 50939200 51184100 53231464 54747550 55807180 56033120 56513600 58744400 60490300 62909912 66220960 66539330 67381600 68685760 69758975 70041400 70076864 72843056 74449600 78637390 79632800 81174080 81894560 82776200 85857200 86501129 87596080 89291488 91053820 92206400 96784480 101467600 102368200 106462928 109495100 111614360 112066240 113817275 117488800 120980600 125819824 132441920 133078660 134763200 139517950 140082800 145686112 157274780 159265600 163789120 165552400 166348325 171714400 173002258 175192160 178582976 182107640 193568960 196593475 202935200 204736400 212925856 218990200 223228720 227634550 234977600 241961200 251639648 266157320 279035900 280165600 291372224 314549560 331104800 332696650 343428800 346004516 350384320 364215280 393186950 405870400 409472800 425851712 432505645 437980400 446457440 455269100 483922400 503279296 532314640 558071800 560331200 629099120 662209600 665393300 692009032 728430560 786373900 818945600 865011290 875960800 892914880 910538200 967844800 1064629280 1116143600 1258198240 1330786600 1384018064 1456861120 1572747800 1730022580 1751921600 1821076400 2129258560 2162528225 2232287200 2516396480 2661573200 2768036128 3145495600 3460045160 3642152800 4325056450 4464574400 5323146400 5536072256 6290991200 6920090320 7284305600 8650112900 10646292800 12581982400 13840180640 17300225800 27680361280 34600451600 69200903200 138401806400
- Sum of all divisors σ(n): 442657382400
- Sum of proper divisors (its aliquot sum) s(n): 304255576000
- 138401806400 is an abundant number, because the sum of its proper divisors (304255576000) is greater than itself. Its abundance is 165853769600
Bases of 138401806400
- Binary: 100000001110010110001111111000010000002
- Hexadecimal: 0x203963F840
- Base-36: 1RKWV1A8
Squares and roots of 138401806400
- 138401806400 squared (1384018064002) is 19155060014783080960000
- 138401806400 cubed (1384018064003) is 2651094907746389109021446144000000
-
The
square root of 138401806400 is 372023.9325634845 -
The
cube root of 138401806400 is 5172.6598382521
Scales and comparisons
How big is 138401806400?- 138,401,806,400 seconds is equal to 4,400 years, 38 weeks, 6 days, 18 hours, 13 minutes, 20 seconds.
-
To count from 1 to 138,401,806,400 would take you about eight thousand, eight hundred one 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 138401806400 cubic inches would be around 431.1 feet tall.
Recreational maths with 138401806400
- 138401806400 backwards is 004608104831
- The number of decimal digits it has is: 12
- The sum of 138401806400's digits is 35
- More coming soon!
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The information we have on file for 138401806400 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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