138742128000
138,742,128,000 is an even composite number composed of five prime numbers multiplied together.
138742128000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138742128000:
27 × 32 × 53 × 73 × 532
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 53 × 53)See below for interesting mathematical facts about the number 138742128000 from the Numbermatics database.
Names of 138742128000
- Cardinal: 138742128000 can be written as One hundred thirty-eight billion, seven hundred forty-two million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.38742128 × 1011
Factors of 138742128000
Divisors of 138742128000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 49 50 53 56 60 63 64 70 72 75 80 84 90 96 98 100 105 106 112 120 125 126 128 140 144 147 150 159 160 168 175 180 192 196 200 210 212 224 225 240 245 250 252 265 280 288 294 300 315 318 320 336 343 350 360 371 375 384 392 400 420 424 441 448 450 477 480 490 500 504 525 530 560 576 588 600 630 636 640 672 686 700 720 735 742 750 784 795 800 840 848 875 882 896 900 954 960 980 1000 1008 1029 1050 1060 1113 1120 1125 1152 1176 1200 1225 1260 1272 1325 1344 1372 1400 1440 1470 1484 1500 1568 1575 1590 1600 1680 1696 1715 1750 1764 1800 1855 1908 1920 1960 2000 2016 2058 2100 2120 2205 2226 2240 2250 2352 2385 2400 2450 2520 2544 2597 2625 2650 2688 2744 2800 2809 2880 2940 2968 3000 3087 3136 3150 3180 3200 3339 3360 3392 3430 3500 3528 3600 3675 3710 3816 3920 3975 4000 4032 4116 4200 4240 4410 4452 4480 4500 4704 4770 4800 4900 5040 5088 5145 5194 5250 5300 5488 5565 5600 5618 5760 5880 5936 6000 6125 6174 6272 6300 6360 6625 6678 6720 6784 6860 7000 7056 7200 7350 7420 7632 7791 7840 7875 7950 8000 8064 8232 8400 8427 8480 8575 8820 8904 9000 9275 9408 9540 9600 9800 10080 10176 10290 10388 10500 10600 10976 11025 11130 11200 11236 11760 11872 11925 12000 12250 12348 12600 12720 12985 13250 13356 13440 13720 14000 14045 14112 14400 14700 14840 15264 15435 15582 15680 15750 15900 16000 16464 16695 16800 16854 16960 17150 17640 17808 18000 18179 18375 18550 18816 19080 19600 19663 19875 20160 20352 20580 20776 21000 21200 21952 22050 22260 22400 22472 23373 23520 23744 23850 24000 24500 24696 25200 25281 25440 25725 25970 26500 26712 27440 27825 28000 28090 28224 28800 29400 29680 30528 30870 31164 31360 31500 31800 32928 33390 33600 33708 33920 34300 35280 35616 36000 36358 36750 37100 38160 38955 39200 39326 39750 40320 41160 41552 42000 42135 42400 42875 43904 44100 44520 44944 46375 46746 47040 47488 47700 48000 49000 49392 50400 50562 50880 51450 51940 53000 53424 54537 54880 55125 55650 56000 56180 56448 58800 58989 59360 59625 61056 61740 62328 63000 63600 64925 65856 66780 67200 67416 68600 70225 70560 71232 72000 72716 73500 74200 76320 77175 77910 78400 78652 79500 82320 83104 83475 84000 84270 84800 85750 88200 89040 89888 90895 92750 93492 94080 95400 98000 98315 98784 100800 101124 101760 102900 103880 106000 106848 109074 109760 110250 111300 112000 112360 116865 117600 117978 118720 119250 123480 124656 126000 126405 127200 128625 129850 131712 133560 134832 137200 137641 139125 140450 141120 142464 144000 145432 147000 148400 152640 154350 155820 156800 157304 159000 163611 164640 166208 166950 168000 168540 169600 171500 176400 176967 178080 179776 181790 185500 186984 190800 194775 196000 196630 197568 201600 202248 205800 207760 210675 212000 213696 218148 219520 220500 222600 224720 233730 235200 235956 237440 238500 246960 249312 252000 252810 254400 257250 259700 267120 269664 272685 274400 275282 278250 280900 282240 290864 294000 294945 296800 305280 308700 311640 314608 318000 324625 327222 329280 332416 333900 336000 337080 343000 351125 352800 353934 356160 359552 363580 371000 373968 381600 385875 389550 392000 393260 395136 404496 411600 412923 415520 417375 421350 424000 427392 436296 441000 445200 449440 454475 467460 470400 471912 477000 491575 493920 498624 504000 505620 508800 514500 519400 534240 539328 545370 548800 550564 556500 561800 581728 584325 588000 589890 593600 617400 623280 629216 632025 636000 649250 654444 658560 667800 674160 686000 688205 702250 705600 707868 712320 727160 742000 747936 763200 771750 779100 784000 786520 808992 818055 823200 825846 831040 834750 842700 848000 872592 882000 884835 890400 898880 908950 934920 943824 954000 963487 973875 983150 987840 997248 1008000 1011240 1029000 1038800 1053375 1068480 1078656 1090740 1097600 1101128 1113000 1123600 1163456 1168650 1176000 1179780 1187200 1234800 1238769 1246560 1258432 1264050 1272000 1298500 1308888 1335600 1348320 1363425 1372000 1376410 1404500 1411200 1415736 1454320 1474725 1484000 1495872 1526400 1543500 1558200 1573040 1617984 1636110 1646400 1651692 1662080 1669500 1685400 1745184 1764000 1769670 1780800 1797760 1817900 1869840 1887648 1908000 1926974 1947750 1966300 1975680 2022480 2058000 2064615 2077600 2106750 2136960 2181480 2202256 2226000 2247200 2272375 2326912 2337300 2352000 2359560 2457875 2469600 2477538 2493120 2516864 2528100 2544000 2597000 2617776 2671200 2696640 2726850 2744000 2752820 2809000 2831472 2890461 2908640 2921625 2949450 2968000 2991744 3087000 3116400 3146080 3160125 3235968 3272220 3292800 3303384 3339000 3370800 3441025 3490368 3528000 3539340 3561600 3635800 3739680 3775296 3816000 3853948 3895500 3932600 4044960 4090275 4116000 4129230 4155200 4213500 4362960 4404512 4424175 4452000 4494400 4544750 4674600 4719120 4817435 4915750 4939200 4955076 4986240 5056200 5194000 5235552 5342400 5393280 5453700 5488000 5505640 5618000 5662944 5780922 5817280 5843250 5898900 5936000 6174000 6193845 6232800 6292160 6320250 6544440 6606768 6678000 6741600 6817125 6882050 6980736 7056000 7078680 7271600 7373625 7479360 7550592 7632000 7707896 7791000 7865200 8089920 8180550 8232000 8258460 8310400 8427000 8671383 8725920 8809024 8848350 8904000 8988800 9089500 9349200 9438240 9634870 9831500 9878400 9910152 10112400 10323075 10388000 10471104 10684800 10907400 11011280 11236000 11325888 11561844 11634560 11686500 11797800 12348000 12387690 12465600 12584320 12640500 13088880 13213536 13356000 13483200 13634250 13764100 14157360 14452305 14543200 14747250 14958720 15415792 15582000 15730400 16179840 16361100 16464000 16516920 16854000 17205125 17342766 17451840 17618048 17696700 17808000 18179000 18698400 18876480 19269740 19663000 19820304 20224800 20451375 20646150 20776000 20942208 21814800 22022560 22120875 22472000 22651776 23123688 23373000 23595600 24087175 24696000 24775380 24931200 25281000 26177760 26427072 26712000 26966400 27268500 27528200 28314720 28904610 29086400 29494500 30831584 30969225 31164000 31460800 32722200 33033840 33708000 34410250 34685532 34903680 35393400 36358000 37396800 37752960 38539480 39326000 39640608 40449600 40902750 41292300 41552000 43356915 43629600 44045120 44241750 44944000 46247376 46746000 47191200 48174350 49392000 49550760 50562000 51615375 52355520 52854144 53424000 54537000 55056400 56629440 57809220 58172800 58989000 61663168 61938450 62328000 62921600 65444400 66067680 67416000 68820500 69371064 70786800 72261525 72716000 74793600 77078960 78652000 79281216 80899200 81805500 82584600 86713830 87259200 88090240 88483500 92494752 93492000 94382400 96348700 99101520 101124000 103230750 104711040 109074000 110112800 113258880 115618440 117978000 120435875 123326336 123876900 124656000 130888800 132135360 134832000 137641000 138742128 141573600 144523050 145432000 154157920 154846125 157304000 158562432 163611000 165169200 173427660 174518400 176967000 184989504 186984000 188764800 192697400 198203040 202248000 206461500 216784575 218148000 220225600 231236880 235956000 240871750 247753800 261777600 264270720 275282000 277484256 283147200 289046100 290864000 308315840 309692250 314608000 327222000 330338400 346855320 353934000 361307625 369979008 373968000 385394800 396406080 404496000 412923000 433569150 436296000 440451200 462473760 471912000 481743500 495507600 523555200 550564000 554968512 566294400 578092200 616631680 619384500 654444000 660676800 693710640 707868000 722615250 770789600 792812160 825846000 867138300 872592000 924947520 943824000 963487000 991015200 1083922875 1101128000 1109937024 1156184400 1238769000 1308888000 1321353600 1387421280 1415736000 1445230500 1541579200 1651692000 1734276600 1849895040 1926974000 1982030400 2167845750 2202256000 2312368800 2477538000 2617776000 2774842560 2831472000 2890461000 3083158400 3303384000 3468553200 3853948000 3964060800 4335691500 4624737600 4955076000 5549685120 5780922000 6606768000 6937106400 7707896000 8671383000 9249475200 9910152000 11561844000 13874212800 15415792000 17342766000 19820304000 23123688000 27748425600 34685532000 46247376000 69371064000 138742128000
- Sum of all divisors σ(n): 592228728000
- Sum of proper divisors (its aliquot sum) s(n): 453486600000
- 138742128000 is an abundant number, because the sum of its proper divisors (453486600000) is greater than itself. Its abundance is 314744472000
Bases of 138742128000
- Binary: 100000010011011010110011011101100000002
- Hexadecimal: 0x204DACDD80
- Base-36: 1RQJHB40
Squares and roots of 138742128000
- 138742128000 squared (1387421280002) is 19249378081968384000000
- 138742128000 cubed (1387421280003) is 2670699677768852024881152000000000
-
The
square root of 138742128000 is 372481.0438129705 -
The
cube root of 138742128000 is 5176.8961195719
Scales and comparisons
How big is 138742128000?- 138,742,128,000 seconds is equal to 4,411 years, 29 weeks, 4 days, 16 hours.
-
To count from 1 to 138,742,128,000 would take you about eight thousand, eight hundred twenty-three 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 138742128000 cubic inches would be around 431.4 feet tall.
Recreational maths with 138742128000
- 138742128000 backwards is 000821247831
- 138742128000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138742128000's digits is 36
- More coming soon!
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The information we have on file for 138742128000 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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