137445890400
137,445,890,400 is an even composite number composed of eight prime numbers multiplied together.
137445890400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 137445890400:
25 × 32 × 52 × 7 × 13 × 31 × 67 × 101
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 13 × 31 × 67 × 101)See below for interesting mathematical facts about the number 137445890400 from the Numbermatics database.
Names of 137445890400
- Cardinal: 137445890400 can be written as One hundred thirty-seven billion, four hundred forty-five million, eight hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 1.374458904 × 1011
Factors of 137445890400
Divisors of 137445890400
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 31 32 35 36 39 40 42 45 48 50 52 56 60 62 63 65 67 70 72 75 78 80 84 90 91 93 96 100 101 104 105 112 117 120 124 126 130 134 140 144 150 155 156 160 168 175 180 182 186 195 200 201 202 208 210 217 224 225 234 240 248 252 260 268 273 279 280 288 300 303 310 312 315 325 335 336 350 360 364 372 390 400 402 403 404 416 420 434 450 455 465 468 469 480 496 504 505 520 525 536 546 558 560 585 600 603 606 620 624 630 650 651 670 672 700 707 720 728 744 775 780 800 804 806 808 819 840 868 871 900 909 910 930 936 938 975 992 1005 1008 1010 1040 1050 1072 1085 1092 1116 1120 1170 1200 1206 1209 1212 1240 1248 1260 1300 1302 1313 1340 1365 1395 1400 1407 1414 1440 1456 1488 1515 1550 1560 1575 1608 1612 1616 1638 1675 1680 1736 1742 1800 1818 1820 1860 1872 1876 1950 1953 2010 2015 2016 2020 2077 2080 2100 2121 2144 2170 2184 2232 2275 2325 2340 2345 2400 2412 2418 2424 2480 2520 2525 2600 2604 2613 2626 2680 2730 2790 2800 2814 2821 2828 2912 2925 2976 3015 3030 3100 3120 3131 3150 3216 3224 3232 3255 3276 3350 3360 3472 3484 3535 3600 3627 3636 3640 3720 3744 3752 3900 3906 3939 4020 4030 4040 4095 4154 4200 4221 4242 4340 4355 4368 4464 4545 4550 4650 4680 4690 4824 4836 4848 4960 5025 5040 5050 5200 5208 5226 5252 5360 5425 5460 5580 5600 5628 5642 5656 5850 6030 6045 6060 6097 6200 6231 6240 6262 6300 6363 6432 6448 6510 6552 6565 6700 6767 6825 6944 6968 6975 7035 7070 7200 7254 7272 7280 7440 7504 7575 7800 7812 7839 7878 8040 8060 8080 8190 8308 8400 8442 8463 8484 8680 8710 8736 8928 9090 9100 9191 9300 9360 9380 9393 9648 9672 9696 9765 10050 10075 10080 10100 10385 10400 10416 10452 10504 10605 10720 10850 10920 11160 11256 11284 11312 11700 11725 11817 12060 12090 12120 12194 12400 12462 12524 12600 12726 12896 13020 13065 13104 13130 13400 13534 13650 13936 13950 14070 14105 14140 14508 14539 14544 14560 14880 15008 15075 15150 15600 15624 15655 15678 15756 16080 16120 16160 16275 16380 16616 16800 16884 16926 16968 17360 17420 17675 18135 18180 18200 18291 18382 18600 18693 18720 18760 18786 19296 19344 19530 19695 20100 20150 20200 20301 20475 20770 20832 20904 21008 21105 21210 21700 21775 21840 21917 22320 22512 22568 22624 22725 23400 23450 23634 24120 24180 24240 24388 24800 24924 25048 25200 25389 25452 26040 26130 26208 26260 26800 27001 27068 27300 27573 27872 27900 28140 28179 28210 28280 29016 29078 29088 30150 30225 30300 30485 31155 31200 31248 31310 31356 31512 31815 32160 32240 32550 32760 32825 33232 33768 33835 33852 33936 34720 34840 35175 35350 36270 36360 36400 36582 36764 37200 37386 37520 37572 38688 39060 39195 39390 40200 40300 40400 40602 40703 40950 41540 41808 42016 42210 42315 42420 43400 43550 43617 43680 43834 44640 45024 45136 45450 45955 46800 46900 46965 47268 47369 48240 48360 48480 48776 48825 49848 50096 50400 50778 50904 51925 52080 52260 52520 53025 53600 54002 54136 54600 54873 55146 55800 56280 56358 56420 56560 58032 58156 59085 60300 60450 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19725300 19793475 20138592 20311200 20514312 20936160 20977700 21113040 21316050 21369075 21600800 21816808 21949200 22026585 22058400 22168692 22543200 22680840 22737120 22793680 23495024 24300900 24361200 24421800 24543909 24631880 25173240 25335648 25642890 26170200 26300400 26391300 26431902 27217008 27271010 27352416 27710865 28351050 28421400 28492100 29306160 29368780 29558256 30207888 30241120 30789850 31466550 31560480 31669560 32401200 32562400 32725212 33087600 33564320 34021260 34105680 34190520 34893600 35188400 35242536 36632700 36710975 36947820 37759860 37801400 37895200 38179414 38881440 39450600 39586950 40906515 41028624 41955400 42226080 42526575 42632100 42738150 43633616 43898400 44053170 44337384 45361680 45587360 46184775 46990048 47199825 48601800 48722400 48843600 49087818 49263760 50346480 51285780 52340400 52600800 52782600 52863804 54434016 54542020 55421730 56702100 56842800 56984200 57269121 58612320 58737560 59116512 60415776 61579700 62933100 63339120 64107225 64802400 65450424 66079755 66175200 68042520 68177525 68211360 68381040 70376800 70485072 73265400 73421950 73895640 75519720 75602800 76358828 78901200 79173900 81813030 82057248 83910800 85053150 85264200 85476300 87267232 88106340 88674768 90723360 92369550 94399650 95448535 97203600 97687200 98175636 98527520 100692960 102571560 104680800 105565200 105727608 109084040 110132925 110843460 113404200 113685600 113968400 114538242 117475120 122719545 123159400 125866200 126678240 128214450 130900848 132159510 136085040 136355050 136762080 138554325 140970144 146530800 146843900 147791280 151039440 151205600 152717656 157802400 158347800 163626060 167821600 170106300 170528400 170952600 171807363 176212680 177349536 184739100 188799300 190897070 194407200 196351272 204532575 205143120 211130400 211455216 218168080 220265850 221686920 226808400 227936800 229076484 234950240 245439090 246318800 251732400 256428900 261801696 264319020 272170080 272710100 277108650 286345605 293061600 293687800 295582560 302078880 305435312 316695600 327252120 330398775 340212600 341056800 341905200 343614726 352425360 369478200 377598600 381794140 392702544 409065150 410286240 422910432 436336160 440531700 443373840 453616800 458152968 477242675 490878180 492637600 503464800 512857800 528638040 545420200 554217300 572691210 587375600 610870624 613597725 633391200 654504240 660797550 680425200 683810400 687229452 704850720 738956400 755197200 763588280 785405088 818130300 859036815 881063400 886747680 916305936 954485350 981756360 1025715600 1057276080 1090840400 1108434600 1145382420 1174751200 1227195450 1309008480 1321595100 1360850400 1374458904 1431728025 1477912800 1510394400 1527176560 1636260600 1718073630 1762126800 1832611872 1908970700 1963512720 2051431200 2114552160 2181680800 2216869200 2290764840 2454390900 2643190200 2748917808 2863456050 3054353120 3272521200 3436147260 3524253600 3817941400 3927025440 4295184075 4433738400 4581529680 4908781800 5286380400 5497835616 5726912100 6545042400 6872294520 7635882800 8590368150 9163059360 9817563600 10572760800 11453824200 13744589040 15271765600 17180736300 19635127200 22907648400 27489178080 34361472600 45815296800 68722945200 137445890400
- Sum of all divisors σ(n): 631135604736
- Sum of proper divisors (its aliquot sum) s(n): 493689714336
- 137445890400 is an abundant number, because the sum of its proper divisors (493689714336) is greater than itself. Its abundance is 356243823936
Bases of 137445890400
- Binary: 100000000000000110100111011001011000002
- Hexadecimal: 0x200069D960
- Base-36: 1R53QFS0
Squares and roots of 137445890400
- 137445890400 squared (1374458904002) is 18891372787848812160000
- 137445890400 cubed (1374458904003) is 2596541553704210287913547264000000
-
The
square root of 137445890400 is 370736.9558055953 -
The
cube root of 137445890400 is 5160.7234428253
Scales and comparisons
How big is 137445890400?- 137,445,890,400 seconds is equal to 4,370 years, 18 weeks, 2 days, 22 hours.
-
To count from 1 to 137,445,890,400 would take you about eight thousand, seven hundred forty 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 137445890400 cubic inches would be around 430.1 feet tall.
Recreational maths with 137445890400
- 137445890400 backwards is 004098544731
- 137445890400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137445890400's digits is 45
- More coming soon!
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The information we have on file for 137445890400 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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