138364536960
138,364,536,960 is an even composite number composed of seven prime numbers multiplied together.
138364536960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 138364536960:
27 × 34 × 5 × 13 × 31 × 37 × 179
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 13 × 31 × 37 × 179)See below for interesting mathematical facts about the number 138364536960 from the Numbermatics database.
Names of 138364536960
- Cardinal: 138364536960 can be written as One hundred thirty-eight billion, three hundred sixty-four million, five hundred thirty-six thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3836453696 × 1011
Factors of 138364536960
Divisors of 138364536960
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 31 32 36 37 39 40 45 48 52 54 60 62 64 65 72 74 78 80 81 90 93 96 104 108 111 117 120 124 128 130 135 144 148 155 156 160 162 179 180 185 186 192 195 208 216 222 234 240 248 260 270 279 288 296 310 312 320 324 333 351 358 360 370 372 384 390 403 405 416 432 444 465 468 480 481 496 520 537 540 555 558 576 585 592 620 624 640 648 666 702 716 720 740 744 780 806 810 832 837 864 888 895 930 936 960 962 992 999 1040 1053 1074 1080 1110 1116 1147 1152 1170 1184 1209 1240 1248 1296 1332 1395 1404 1432 1440 1443 1480 1488 1560 1611 1612 1620 1664 1665 1674 1728 1755 1776 1790 1860 1872 1920 1924 1984 1998 2015 2080 2106 2148 2160 2220 2232 2294 2327 2340 2368 2405 2418 2480 2496 2511 2592 2664 2685 2790 2808 2864 2880 2886 2960 2976 2997 3120 3222 3224 3240 3330 3348 3441 3456 3510 3552 3580 3627 3720 3744 3848 3968 3996 4030 4160 4185 4212 4296 4320 4329 4440 4464 4588 4654 4680 4736 4810 4833 4836 4960 4992 4995 5022 5184 5265 5328 5370 5549 5580 5616 5728 5735 5760 5772 5920 5952 5994 6045 6240 6444 6448 6480 6623 6660 6696 6882 6981 7020 7104 7160 7215 7254 7440 7488 7696 7992 8055 8060 8320 8370 8424 8592 8640 8658 8880 8928 9176 9308 9360 9620 9666 9672 9920 9990 10044 10323 10368 10530 10656 10740 10881 11098 11160 11232 11456 11470 11544 11635 11840 11904 11988 12090 12480 12555 12888 12896 12960 12987 13246 13320 13392 13764 13962 14040 14208 14320 14430 14499 14508 14880 14911 14976 14985 15392 15984 16110 16120 16647 16740 16848 17184 17205 17280 17316 17760 17856 18135 18352 18616 18720 19240 19332 19344 19840 19869 19980 20088 20646 20943 21060 21312 21480 21645 21762 22196 22320 22464 22912 22940 23088 23270 23680 23976 24165 24180 24960 25110 25776 25792 25920 25974 26492 26640 26784 27528 27745 27924 28080 28640 28860 28998 29016 29760 29822 29970 30784 30969 31968 32220 32240 32643 33115 33294 33480 33696 34368 34410 34632 34905 35520 35712 36270 36704 37232 37440 38480 38664 38688 38961 39738 39960 40176 41292 41886 42120 42624 42960 43290 43524 44392 44640 44733 44928 45880 46176 46540 47952 48330 48360 49941 50220 51552 51584 51615 51840 51948 52984 53280 53568 54405 55056 55490 55848 56160 57280 57720 57996 58032 59520 59607 59644 59940 61568 61938 62829 63936 64440 64480 64935 65286 66230 66588 66960 67392 68736 68820 69264 69810 71040 72137 72495 72540 73408 74464 74555 74880 76960 77328 77376 77922 79476 79920 80352 82584 83235 83772 84240 85920 86099 86580 87048 88784 89280 89466 91760 92352 92907 93080 95904 96660 96720 99345 99882 100440 103104 103230 103896 104715 105968 106560 107136 108810 110112 110980 111696 112320 114560 115440 115992 116064 119214 119288 119880 123876 125658 127872 128880 128960 129870 130572 132460 133176 133920 134199 134784 137640 138528 139620 144274 144990 145080 146816 148928 149110 149823 153920 154656 154752 154845 155844 158952 159840 160704 163215 165168 166470 167544 168480 171840 172198 173160 174096 177568 178560 178821 178932 183520 184704 185814 186160 188487 191808 193320 193440 194805 198690 199764 200880 205313 206208 206460 207792 209430 211936 213120 216411 217620 220224 221960 223392 223665 224640 230880 231984 232128 238428 238576 239760 247752 249705 251316 257760 257920 258297 259740 261144 264920 266352 267840 268398 275280 277056 279240 288548 289980 290160 297856 298035 298220 299646 307840 309312 309690 311688 314145 317904 319680 321408 326430 330336 332940 335088 336960 343680 344396 346320 348192 355136 357642 357864 360685 367040 371628 372320 376974 383616 386640 386880 389610 397380 399528 401760 402597 410626 412920 415584 418860 423872 430495 432822 435240 440448 443920 446784 447330 449469 461760 463968 464256 464535 476856 477152 479520 495504 499410 502632 515520 516594 519480 522288 529840 532704 535680 536463 536796 550560 554112 558480 577096 579960 580320 596070 596440 599292 615939 618624 619380 623376 628290 635808 639360 649233 652860 660672 665880 670176 670995 673920 688792 692640 696384 710272 715284 715728 721370 734080 743256 744640 749115 753948 773280 773760 774891 779220 794760 799056 803520 805194 821252 825840 831168 837720 847744 860990 865644 870480 887840 893568 894105 894660 898938 923520 927936 929070 942435 953712 954304 959040 991008 998820 1005264 1026565 1031040 1033188 1038960 1044576 1059680 1065408 1072926 1073592 1082055 1101120 1116960 1154192 1159920 1160640 1192140 1192880 1198584 1207791 1231878 1238760 1246752 1256580 1271616 1291485 1298466 1305720 1321344 1331760 1340352 1341990 1377584 1385280 1392768 1430568 1431456 1442740 1486512 1489280 1498230 1507896 1546560 1549782 1558440 1589520 1598112 1607040 1610388 1642504 1651680 1662336 1675440 1721980 1731288 1740960 1775680 1788210 1789320 1797876 1847817 1855872 1858140 1884870 1907424 1908608 1918080 1947699 1982016 1997640 2010528 2012985 2053130 2066376 2077920 2089152 2119360 2130816 2145852 2147184 2164110 2202240 2233920 2247345 2308384 2319840 2321280 2324673 2384280 2385760 2397168 2415582 2463756 2477520 2493504 2513160 2543232 2582970 2596932 2611440 2663520 2669069 2680704 2682315 2683980 2755168 2770560 2861136 2862912 2885480 2973024 2996460 3015792 3079695 3093120 3099564 3116880 3179040 3196224 3220776 3246165 3285008 3303360 3350880 3443960 3462576 3481920 3551360 3576420 3578640 3595752 3695634 3716280 3769740 3814848 3874455 3895398 3964032 3995280 4021056 4025970 4106260 4132752 4155840 4178304 4238720 4291704 4294368 4328220 4467840 4494690 4616768 4639680 4649346 4768560 4771520 4794336 4831164 4927512 4955040 4987008 5026320 5165940 5193864 5222880 5327040 5338138 5364630 5367960 5510336 5543451 5722272 5725824 5770960 5843097 5946048 5992920 6031584 6038955 6159390 6199128 6233760 6358080 6392448 6441552 6492330 6570016 6606720 6701760 6887920 6925152 6963840 6974019 7152840 7157280 7191504 7391268 7432560 7539480 7629696 7748910 7790796 7990560 8007207 8042112 8051940 8212520 8265504 8311680 8583408 8588736 8656440 8989380 9233536 9239085 9279360 9298692 9537120 9543040 9588672 9662328 9738495 9855024 9910080 10052640 10331880 10387728 10445760 10654080 10676276 10729260 10735920 11020672 11086902 11444544 11541920 11623365 11686194 11892096 11985840 12063168 12077910 12318780 12398256 12467520 12716160 12883104 12984660 13140032 13345345 13403520 13775840 13850304 13948038 14305680 14314560 14383008 14782536 14865120 15078960 15497820 15581592 15981120 16014414 16103880 16425040 16531008 16630353 17166816 17177472 17312880 17978760 18478170 18597384 19074240 19177344 19324656 19476990 19710048 19820160 20105280 20663760 20775456 20891520 21352552 21458520 21471840 22173804 22889088 23083840 23246730 23372388 23971680 24021621 24126336 24155820 24637560 24796512 24935040 25766208 25969320 26280064 26690690 27551680 27700608 27717255 27896076 28611360 28629120 28766016 29215485 29565072 29730240 30157920 30995640 31163184 31962240 32028828 32207760 32850080 33062016 33260706 34333632 34625760 34870095 35957520 36956340 37194768 38148480 38649312 38953980 39420096 40036035 40210560 41327520 41550912 42705104 42917040 42943680 44347608 46167680 46493460 46744776 47943360 48043242 48311640 49275120 49593024 51532416 51938640 53381380 55103360 55434510 55792152 57222720 57532032 58430970 59130144 59460480 60315840 61991280 62326368 64057656 64415520 65700160 66521412 68667264 69251520 69740190 71915040 72064863 73912680 74389536 77298624 77907960 78840192 80072070 82655040 83101824 83151765 85410208 85834080 85887360 88695216 92986920 93489552 95886720 96086484 96623280 98550240 99186048 103877280 106762760 110869020 111584304 114445440 116861940 118260288 120108105 120631680 123982560 124652736 128115312 128831040 131400320 133042824 138503040 139480380 143830080 144129726 147825360 148779072 154597248 155815920 160144140 165310080 166303530 170820416 171668160 177390432 185973840 186979104 192172968 193246560 197100480 207754560 213525520 216194589 221738040 223168608 233723880 236520576 240216210 247965120 249305472 256230624 257662080 266085648 278960760 287660160 288259452 295650720 297558144 311631840 320288280 332607060 341640832 343336320 354780864 360324315 371947680 373958208 384345936 386493120 394200960 415509120 427051040 432389178 443476080 446337216 467447760 480432420 495930240 512461248 532171296 557921520 576518904 591301440 623263680 640576560 665214120 709561728 720648630 743895360 747916416 768691872 772986240 854102080 864778356 886952160 892674432 934895520 960864840 1024922496 1064342592 1080972945 1115843040 1153037808 1182602880 1246527360 1281153120 1330428240 1441297260 1487790720 1537383744 1708204160 1729556712 1773904320 1869791040 1921729680 2128685184 2161945890 2231686080 2306075616 2562306240 2660856480 2882594520 3074767488 3459113424 3547808640 3739582080 3843459360 4323891780 4463372160 4612151232 5124612480 5321712960 5765189040 6918226848 7686918720 8647783560 9224302464 10643425920 11530378080 13836453696 15373837440 17295567120 23060756160 27672907392 34591134240 46121512320 69182268480 138364536960
- Sum of all divisors σ(n): 567297561600
- Sum of proper divisors (its aliquot sum) s(n): 428933024640
- 138364536960 is an abundant number, because the sum of its proper divisors (428933024640) is greater than itself. Its abundance is 290568487680
Bases of 138364536960
- Binary: 100000001101110010101101001000100000002
- Hexadecimal: 0x20372B4880
- Base-36: 1RKAO800
Squares and roots of 138364536960
- 138364536960 squared (1383645369602) is 19144745088155206041600
- 138364536960 cubed (1383645369603) is 2648953789339829464559378497536000
-
The
square root of 138364536960 is 371973.8390801159 -
The
cube root of 138364536960 is 5172.1954911277
Scales and comparisons
How big is 138364536960?- 138,364,536,960 seconds is equal to 4,399 years, 29 weeks, 2 days, 9 hours, 36 minutes.
-
To count from 1 to 138,364,536,960 would take you about eight thousand, seven hundred ninety-nine 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 138364536960 cubic inches would be around 431 feet tall.
Recreational maths with 138364536960
- 138364536960 backwards is 069635463831
- 138364536960 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138364536960's digits is 54
- More coming soon!
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The information we have on file for 138364536960 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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