138709509120
138,709,509,120 is an even composite number composed of seven prime numbers multiplied together.
138709509120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 138709509120:
210 × 32 × 5 × 7 × 13 × 19 × 1741
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 13 × 19 × 1741)See below for interesting mathematical facts about the number 138709509120 from the Numbermatics database.
Names of 138709509120
- Cardinal: 138709509120 can be written as One hundred thirty-eight billion, seven hundred nine million, five hundred nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3870950912 × 1011
Factors of 138709509120
Divisors of 138709509120
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 19 20 21 24 26 28 30 32 35 36 38 39 40 42 45 48 52 56 57 60 63 64 65 70 72 76 78 80 84 90 91 95 96 104 105 112 114 117 120 126 128 130 133 140 144 152 156 160 168 171 180 182 190 192 195 208 210 224 228 234 240 247 252 256 260 266 273 280 285 288 304 312 315 320 336 342 360 364 380 384 390 399 416 420 448 455 456 468 480 494 504 512 520 532 546 560 570 576 585 608 624 630 640 665 672 684 720 728 741 760 768 780 798 819 832 840 855 896 910 912 936 960 988 1008 1024 1040 1064 1092 1120 1140 1152 1170 1197 1216 1235 1248 1260 1280 1330 1344 1365 1368 1440 1456 1482 1520 1536 1560 1596 1638 1664 1680 1710 1729 1741 1792 1820 1824 1872 1920 1976 1995 2016 2080 2128 2184 2223 2240 2280 2304 2340 2394 2432 2470 2496 2520 2560 2660 2688 2730 2736 2880 2912 2964 3040 3072 3120 3192 3276 3328 3360 3420 3458 3482 3584 3640 3648 3705 3744 3840 3952 3990 4032 4095 4160 4256 4368 4446 4480 4560 4608 4680 4788 4864 4940 4992 5040 5120 5187 5223 5320 5376 5460 5472 5760 5824 5928 5985 6080 6240 6384 6552 6656 6720 6840 6916 6964 7168 7280 7296 7410 7488 7680 7904 7980 8064 8190 8320 8512 8645 8705 8736 8892 8960 9120 9216 9360 9576 9728 9880 9984 10080 10374 10446 10640 10752 10920 10944 11115 11520 11648 11856 11970 12160 12187 12480 12768 13104 13312 13440 13680 13832 13928 14560 14592 14820 14976 15360 15561 15669 15808 15960 16128 16380 16640 17024 17290 17410 17472 17784 17920 18240 18720 19152 19456 19760 19968 20160 20748 20892 21280 21504 21840 21888 22230 22633 23040 23296 23712 23940 24320 24374 24960 25536 25935 26115 26208 26880 27360 27664 27856 29120 29184 29640 29952 31122 31338 31616 31920 32256 32760 33079 33280 34048 34580 34820 34944 35568 35840 36480 36561 37440 38304 39520 39936 40320 41496 41784 42560 43680 43776 44460 45266 46080 46592 47424 47880 48640 48748 49920 51072 51870 52230 52416 53760 54720 55328 55712 58240 58368 59280 59904 60935 62244 62676 63232 63840 64512 65520 66158 66560 67899 68096 69160 69640 69888 71136 72960 73122 74880 76608 77805 78345 79040 80640 82992 83568 85120 87360 87552 88920 90532 93184 94848 95760 97280 97496 99237 99840 102144 103740 104460 104832 107520 109440 109683 110656 111424 113165 116480 118560 119808 121870 124488 125352 126464 127680 131040 132316 135798 136192 138320 139280 139776 142272 145920 146244 149760 153216 155610 156690 158080 158431 161280 165395 165984 167136 170240 174720 175104 177840 181064 182805 189696 191520 194992 198474 199680 203697 204288 207480 208920 209664 218880 219366 221312 222848 226330 231553 232960 237120 243740 248976 250704 252928 255360 262080 264632 271596 276640 278560 279552 284544 291840 292488 297711 299520 306432 311220 313380 316160 316862 322560 330790 331968 334272 339495 340480 349440 355680 362128 365610 379392 383040 389984 396948 407394 408576 414960 417840 419328 430027 437760 438732 442624 445696 452660 463106 465920 474240 475293 487480 496185 497952 501408 510720 524160 529264 543192 548415 553280 557120 569088 584976 595422 599040 612864 622440 626760 632320 633724 661580 663936 668544 678990 680960 694659 698880 711360 724256 731220 758784 766080 779968 792155 793896 814788 829920 835680 838656 860054 875520 877464 885248 891392 905320 926212 948480 950586 974960 992370 995904 1002816 1018485 1021440 1048320 1058528 1086384 1096830 1106560 1114240 1138176 1157765 1169952 1190844 1225728 1244880 1253520 1264640 1267448 1290081 1323160 1327872 1337088 1357980 1389318 1397760 1422720 1425879 1448512 1462440 1488555 1532160 1559936 1584310 1587792 1629576 1659840 1671360 1720108 1754928 1770496 1782784 1810640 1852424 1896960 1901172 1949920 1984740 1991808 2005632 2036970 2042880 2083977 2096640 2117056 2150135 2172768 2193660 2213120 2228480 2276352 2315530 2339904 2376465 2381688 2489760 2507040 2534896 2580162 2646320 2655744 2674176 2715960 2778636 2845440 2851758 2897024 2924880 2977110 3010189 3064320 3119872 3168620 3175584 3259152 3319680 3342720 3440216 3473295 3509856 3621280 3704848 3793920 3802344 3870243 3899840 3969480 3983616 4011264 4073940 4167954 4193280 4234112 4300270 4345536 4387320 4426240 4456960 4631060 4679808 4752930 4763376 4979520 5014080 5069792 5160324 5292640 5311488 5348352 5431920 5557272 5690880 5703516 5794048 5849760 5954220 6020378 6128640 6239744 6337240 6351168 6450405 6518304 6639360 6685440 6880432 6946590 7019712 7129395 7242560 7409696 7604688 7740486 7799680 7938960 7967232 8022528 8147880 8335908 8468224 8600540 8691072 8774640 8852480 8913920 9030567 9262120 9359616 9505860 9526752 9959040 10028160 10139584 10320648 10419885 10585280 10863840 11114544 11381760 11407032 11588096 11699520 11908440 12040756 12479488 12674480 12702336 12900810 13036608 13278720 13370880 13760864 13893180 14039424 14258790 14485120 14819392 15050945 15209376 15480972 15599360 15877920 15934464 16045056 16295760 16671816 16936448 17201080 17382144 17549280 18061134 18524240 18719232 19011720 19053504 19351215 19918080 20056320 20279168 20641296 20839770 21170560 21727680 22229088 22814064 23176192 23399040 23816880 24081512 25348960 25404672 25801620 26073216 26557440 26741760 27091701 27521728 27786360 28078848 28517580 28970240 29638784 30101890 30418752 30961944 31198720 31755840 32591520 33343632 33872896 34402160 34764288 35098560 36122268 37048480 37438464 38023440 38107008 38702430 39836160 40112640 40558336 41282592 41679540 42341120 43455360 44458176 45152835 45628128 46798080 47633760 48163024 50697920 50809344 51603240 52146432 54183402 55043456 55572720 56157696 57035160 57940480 59277568 60203780 60837504 61923888 62397440 63511680 65183040 66687264 68804320 69528576 70197120 72244536 74096960 76046880 76214016 77404860 79672320 80225280 81116672 82565184 83359080 84682240 86910720 88916352 90305670 91256256 93596160 95267520 96326048 101395840 101618688 103206480 104292864 108366804 110086912 111145440 112315392 114070320 115880960 118555136 120407560 121675008 123847776 127023360 130366080 133374528 135458505 137608640 140394240 144489072 148193920 152093760 152428032 154809720 162233344 165130368 166718160 169364480 173821440 177832704 180611340 182512512 187192320 190535040 192652096 202791680 206412960 208585728 216733608 220173824 222290880 228140640 237110272 240815120 243350016 247695552 254046720 260732160 266749056 270917010 275217280 280788480 288978144 296387840 304187520 304856064 309619440 330260736 333436320 347642880 355665408 361222680 365025024 381070080 385304192 405583360 412825920 433467216 440347648 444581760 456281280 481630240 486700032 495391104 508093440 521464320 533498112 541834020 550434560 561576960 577956288 592775680 608375040 619238880 660521472 666872640 711330816 722445360 730050048 762140160 770608384 811166720 825651840 866934432 889163520 912562560 963260480 990782208 1042928640 1066996224 1083668040 1100869120 1155912576 1185551360 1216750080 1238477760 1321042944 1333745280 1444890720 1460100096 1524280320 1541216768 1651303680 1733868864 1778327040 1825125120 1926520960 1981564416 2133992448 2167336080 2201738240 2311825152 2433500160 2476955520 2667490560 2889781440 3082433536 3302607360 3467737728 3556654080 3650250240 3853041920 3963128832 4334672160 4623650304 4953911040 5334981120 5779562880 6605214720 6935475456 7300500480 7706083840 8669344320 9247300608 9907822080 10669962240 11559125760 13870950912 15412167680 17338688640 19815644160 23118251520 27741901824 34677377280 46236503040 69354754560 138709509120
- Sum of all divisors σ(n): 623029505280
- Sum of proper divisors (its aliquot sum) s(n): 484319996160
- 138709509120 is an abundant number, because the sum of its proper divisors (484319996160) is greater than itself. Its abundance is 345610487040
Bases of 138709509120
- Binary: 100000010010111011101100100100000000002
- Hexadecimal: 0x204BBB2400
- Base-36: 1RQ02680
Squares and roots of 138709509120
- 138709509120 squared (1387095091202) is 19240327920311363174400
- 138709509120 cubed (1387095091203) is 2668816441134219663479068950528000
-
The
square root of 138709509120 is 372437.2552793289 -
The
cube root of 138709509120 is 5176.4903841473
Scales and comparisons
How big is 138709509120?- 138,709,509,120 seconds is equal to 4,410 years, 27 weeks, 5 days, 3 hours, 12 minutes.
-
To count from 1 to 138,709,509,120 would take you about eight thousand, eight hundred twenty-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 138709509120 cubic inches would be around 431.4 feet tall.
Recreational maths with 138709509120
- 138709509120 backwards is 021905907831
- 138709509120 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138709509120's digits is 45
- More coming soon!
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Numbermatics. (2024). Number 138709509120 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/138709509120/
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The information we have on file for 138709509120 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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