138533742400
138,533,742,400 is an even composite number composed of seven prime numbers multiplied together.
138533742400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 138533742400:
26 × 52 × 19 × 29 × 31 × 37 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 19 × 29 × 31 × 37 × 137)See below for interesting mathematical facts about the number 138533742400 from the Numbermatics database.
Names of 138533742400
- Cardinal: 138533742400 can be written as One hundred thirty-eight billion, five hundred thirty-three million, seven hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.385337424 × 1011
Factors of 138533742400
Divisors of 138533742400
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 4 5 8 10 16 19 20 25 29 31 32 37 38 40 50 58 62 64 74 76 80 95 100 116 124 137 145 148 152 155 160 185 190 200 232 248 274 290 296 304 310 320 370 380 400 464 475 496 548 551 580 589 592 608 620 685 703 725 740 760 775 800 899 925 928 950 992 1073 1096 1102 1147 1160 1178 1184 1216 1240 1370 1406 1450 1480 1520 1550 1600 1798 1850 1856 1900 1984 2146 2192 2204 2294 2320 2356 2368 2480 2603 2740 2755 2812 2900 2945 2960 3040 3100 3425 3515 3596 3700 3800 3973 4247 4292 4384 4408 4495 4588 4640 4712 4960 5069 5206 5365 5480 5510 5624 5735 5800 5890 5920 6080 6200 6850 7030 7192 7400 7600 7946 8494 8584 8768 8816 8990 9176 9280 9424 9920 10138 10412 10730 10960 11020 11248 11470 11600 11780 11840 12400 13015 13700 13775 14060 14384 14725 14800 15200 15892 16988 17081 17168 17575 17632 17980 18352 18848 19865 20276 20387 20824 21235 21460 21793 21920 22040 22475 22496 22940 23200 23560 24800 25345 26030 26825 27400 27550 28120 28675 28768 29450 29600 30400 31784 33263 33976 34162 34336 35150 35264 35960 36704 37696 39730 40552 40774 41648 42470 42920 43586 43840 44080 44950 44992 45880 46400 47120 49600 50690 52060 53650 54800 55100 56240 57350 57536 58900 59200 63568 65075 66526 67952 68324 68672 70300 71920 73408 75487 79460 80693 81104 81548 83296 84940 85405 85840 87172 88160 89900 91760 94240 96311 99325 101380 101935 104120 106175 107300 108965 109600 110200 112480 114700 117800 123163 126725 127136 130150 133052 135904 136648 140600 143840 147001 150974 157139 158920 161386 162208 163096 166315 166592 169880 170810 171680 174344 176320 179800 183520 188480 192622 198650 202760 203870 208240 212350 214600 217930 219200 220400 224960 229400 235600 246326 253450 254272 260300 266104 271808 273296 281200 287680 294002 301948 314278 317840 322772 324416 326192 332630 339760 341620 343360 348688 359600 367040 377435 385244 397300 403465 405520 407740 416480 424700 427025 429200 435860 440800 458800 471200 481555 492652 506900 509675 520600 532208 544825 546592 562400 588004 603896 615815 628556 631997 635680 645544 652384 665260 679520 683240 697376 719200 735005 754870 770488 785695 794600 806930 811040 815480 831575 832960 849400 854050 858400 871720 881600 917600 942400 963110 985304 1013800 1019350 1041200 1064416 1089650 1093184 1124800 1176008 1207792 1231630 1257112 1263994 1271360 1291088 1304768 1330520 1359040 1366480 1394752 1438400 1470010 1509740 1540976 1571390 1589200 1613860 1622080 1630960 1663150 1698800 1708100 1716800 1743440 1835200 1887175 1926220 1970608 2017325 2027600 2038700 2082400 2128832 2179300 2340097 2352016 2407775 2415584 2463260 2514224 2527988 2582176 2661040 2732960 2793019 2940020 2985641 3019480 3079075 3081952 3142780 3159985 3178400 3227720 3261920 3326300 3397600 3416200 3486880 3675025 3774350 3852440 3928475 3941216 4034650 4055200 4077400 4164800 4358600 4557031 4680194 4704032 4815550 4831168 4926520 5028448 5055976 5164352 5322080 5465920 5586038 5880040 5971282 6038960 6158150 6163904 6285560 6319970 6356800 6455440 6523840 6652600 6795200 6832400 6973760 7350050 7548700 7704880 7856950 7882432 8069300 8110400 8154800 8717200 9114062 9360388 9408064 9631100 9853040 10056896 10111952 10644160 11172076 11700485 11760080 11942564 12077920 12316300 12571120 12639940 12910880 13305200 13664800 13965095 14700100 14928205 15097400 15409760 15713900 15799925 16138600 16309600 17434400 18228124 18720776 19262200 19706080 20223904 22344152 22785155 23400970 23520160 23885128 24155840 24632600 25142240 25279880 25821760 26610400 27329600 27930190 29400200 29856410 30194800 30819520 31427800 31599850 32277200 32619200 34868800 36456248 37441552 38524400 39412160 40447808 44688304 45570310 46801940 47040320 47770256 49265200 50284480 50559760 53220800 55860380 58502425 58800400 59712820 60389600 62855600 63199700 64554400 69825475 72912496 74641025 74883104 77048800 86583589 89376608 91140620 93603880 95540512 98530400 101119520 111720760 113925775 117004850 117600800 119425640 120779200 125711200 126399400 129108800 139650950 145824992 149282050 149766208 154097600 173167178 178753216 182281240 187207760 191081024 197060800 202239040 223441520 227851550 234009700 235201600 238851280 251422400 252798800 279301900 291649984 298564100 346334356 364562480 374415520 432917945 446883040 455703100 468019400 477702560 505597600 558603800 597128200 692668712 729124960 748831040 865835890 893766080 911406200 936038800 955405120 1011195200 1117207600 1194256400 1385337424 1458249920 1731671780 1822812400 1872077600 2164589725 2234415200 2388512800 2770674848 3463343560 3645624800 3744155200 4329179450 4468830400 4777025600 5541349696 6926687120 7291249600 8658358900 13853374240 17316717800 27706748480 34633435600 69266871200 138533742400
- Sum of all divisors σ(n): 396396057600
- Sum of proper divisors (its aliquot sum) s(n): 257862315200
- 138533742400 is an abundant number, because the sum of its proper divisors (257862315200) is greater than itself. Its abundance is 119328572800
Bases of 138533742400
- Binary: 100000010000010100000100100111010000002
- Hexadecimal: 0x2041412740
- Base-36: 1RN3EVR4
Squares and roots of 138533742400
- 138533742400 squared (1385337424002) is 19191597783349557760000
- 138533742400 cubed (1385337424003) is 2658683863562958643877761024000000
-
The
square root of 138533742400 is 372201.2122495035 -
The
cube root of 138533742400 is 5174.3029846867
Scales and comparisons
How big is 138533742400?- 138,533,742,400 seconds is equal to 4,404 years, 49 weeks, 19 hours, 6 minutes, 40 seconds.
-
To count from 1 to 138,533,742,400 would take you about eight thousand, eight hundred 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 138533742400 cubic inches would be around 431.2 feet tall.
Recreational maths with 138533742400
- 138533742400 backwards is 004247335831
- 138533742400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138533742400's digits is 40
- More coming soon!
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The information we have on file for 138533742400 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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