138132630144000
138,132,630,144,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138132630144000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2112 divisors.
138132630144000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 138132630144000:
210 × 32 × 53 × 17 × 23 × 449 × 683
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 17 × 23 × 449 × 683)See below for interesting mathematical facts about the number 138132630144000 from the Numbermatics database.
Names of 138132630144000
- Cardinal: 138132630144000 can be written as One hundred thirty-eight trillion, one hundred thirty-two billion, six hundred thirty million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.38132630144 × 1014
Factors of 138132630144000
Divisors of 138132630144000
- Number of divisors d(n): 2112
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 23 24 25 30 32 34 36 40 45 46 48 50 51 60 64 68 69 72 75 80 85 90 92 96 100 102 115 120 125 128 136 138 144 150 153 160 170 180 184 192 200 204 207 225 230 240 250 255 256 272 276 288 300 306 320 340 345 360 368 375 384 391 400 408 414 425 449 450 460 480 500 510 512 544 552 575 576 600 612 640 680 683 690 720 736 750 765 768 782 800 816 828 850 898 900 920 960 1000 1020 1024 1035 1088 1104 1125 1150 1152 1173 1200 1224 1275 1280 1347 1360 1366 1380 1440 1472 1500 1530 1536 1564 1600 1632 1656 1700 1725 1796 1800 1840 1920 1955 2000 2040 2049 2070 2125 2176 2208 2245 2250 2300 2304 2346 2400 2448 2550 2560 2694 2720 2732 2760 2875 2880 2944 3000 3060 3072 3128 3200 3264 3312 3400 3415 3450 3519 3592 3600 3680 3825 3840 3910 4000 4041 4080 4098 4140 4250 4352 4416 4490 4500 4600 4608 4692 4800 4896 5100 5120 5175 5388 5440 5464 5520 5750 5760 5865 5888 6000 6120 6147 6256 6375 6400 6528 6624 6735 6800 6830 6900 7038 7184 7200 7360 7633 7650 7680 7820 8000 8082 8160 8196 8280 8500 8625 8704 8832 8980 9000 9200 9216 9384 9600 9775 9792 10200 10245 10327 10350 10776 10880 10928 11040 11225 11500 11520 11611 11730 11776 12000 12240 12294 12512 12750 12800 13056 13248 13470 13600 13660 13800 14076 14368 14400 14720 15266 15300 15360 15640 15709 16000 16164 16320 16392 16560 17000 17075 17250 17408 17595 17664 17960 18000 18400 18768 19125 19200 19550 19584 20205 20400 20490 20654 20700 21552 21760 21856 22080 22450 22899 23000 23040 23222 23460 23552 24000 24480 24588 25024 25500 25600 25875 26112 26496 26940 27200 27320 27600 28152 28736 28800 29325 29440 30532 30600 30735 30981 31280 31418 32000 32328 32640 32784 33120 33675 34000 34150 34500 34833 35190 35328 35920 36000 36800 37536 38165 38250 38400 39100 39168 40410 40800 40980 41308 41400 43104 43520 43712 44160 44900 45798 46000 46080 46444 46920 47127 48000 48875 48960 49176 50048 51000 51225 51635 51750 52224 52992 53880 54400 54640 55200 56125 56304 57472 57600 58055 58650 58880 61064 61200 61470 61962 62560 62836 64000 64656 65280 65568 66240 67350 68000 68300 68697 69000 69666 70380 70656 71840 72000 73600 75072 76330 76500 76800 78200 78336 78545 80820 81600 81960 82616 82800 85375 86208 87040 87424 87975 88320 89800 91596 92000 92888 92943 93840 94254 96000 97750 97920 98352 100096 101025 102000 102450 103270 103500 104499 105984 107760 108800 109280 110400 112250 112608 114495 114944 115200 116110 117300 117760 122128 122400 122940 123924 125120 125672 128000 129312 130560 131136 132480 134700 136000 136600 137394 138000 139332 140760 141381 143680 144000 146625 147200 150144 152660 153000 153675 154905 156400 156672 157090 161640 163200 163920 165232 165600 168375 170750 172416 174165 174848 175559 175950 176640 179600 183192 184000 185776 185886 187680 188508 190825 192000 195500 195840 196704 200192 202050 204000 204900 206540 207000 208998 211968 215520 217600 218560 220800 224500 225216 228990 229888 230400 232220 234600 235635 244256 244800 245880 247848 250240 251344 256125 258175 258624 261120 262272 264960 267053 269400 272000 273200 274788 276000 278664 281520 282762 287360 288000 290275 293250 294400 300288 305320 306000 306667 307350 309810 312800 314180 323280 326400 327840 330464 331200 336750 341500 343485 344832 348330 349696 351118 351900 353280 359200 366384 368000 371552 371772 375360 377016 381650 384000 391000 391680 392725 393408 400384 404100 408000 409800 413080 414000 417996 431040 435200 437120 439875 441600 449000 450432 457980 459776 464440 464715 469200 471270 488512 489600 491760 495696 500480 502688 505125 512250 516350 517248 522495 524544 526677 529920 534106 538800 544000 546400 549576 552000 557328 563040 565524 572475 574720 576000 580550 586500 588800 600576 610640 612000 613334 614700 619620 625600 628360 646560 652800 655680 660928 662400 673500 683000 686970 689664 696660 699392 702236 703800 706905 718400 732768 736000 743104 743544 750720 754032 763300 768375 774525 782000 783360 785450 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300288326400 306961400320 307645056000 325017953280 333653696000 338560368000 345331575360 353280384000 359720391000 368353680384 375360408000 383701750400 400384435200 406272441600 431664469200 451413824000 460442100480 479627188000 500480544000 507840552000 539580586500 541696588800 552530520576 575552625600 600576652800 613922800640 667307392000 677120736000 690663150720 719440782000 750720816000 767403500800 812544883200 863328938400 902827648000 920884200960 959254376000 1000961088000 1015681104000 1079161173000 1105061041152 1151105251200 1201153305600 1354241472000 1381326301440 1438881564000 1501441632000 1534807001600 1625089766400 1726657876800 1841768401920 1918508752000 2001922176000 2031362208000 2158322346000 2302210502400 2708482944000 2762652602880 2877763128000 3002883264000 3069614003200 3453315753600 3837017504000 4062724416000 4316644692000 4604421004800 5525305205760 5755526256000 6005766528000 6906631507200 7674035008000 8125448832000 8633289384000 9208842009600 11511052512000 13813263014400 15348070016000 17266578768000 23022105024000 27626526028800 34533157536000 46044210048000 69066315072000 138132630144000
- Sum of all divisors σ(n): 551998827993600
- Sum of proper divisors (its aliquot sum) s(n): 413866197849600
- 138132630144000 is an abundant number, because the sum of its proper divisors (413866197849600) is greater than itself. Its abundance is 275733567705600
Bases of 138132630144000
- Binary: 111110110100001100000100101101000000100000000002
- Hexadecimal: 0x7DA1825A0400
- Base-36: 1CYP95IBK0
Squares and roots of 138132630144000
- 138132630144000 squared (1381326301440002) is 19080623510499097460736000000
- 138132630144000 cubed (1381326301440003) is 2635656710292682730389655450025984000000000
-
The
square root of 138132630144000 is 11752983.8825721189 -
The
cube root of 138132630144000 is 51693.0424417411
Scales and comparisons
How big is 138132630144000?- 138,132,630,144,000 seconds is equal to 4,392,190 years, 19 weeks, 8 hours.
-
To count from 1 to 138,132,630,144,000 would take you about ten million, nine hundred eighty thousand, four hundred seventy-five 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 138132630144000 cubic inches would be around 4307.8 feet tall.
Recreational maths with 138132630144000
- 138132630144000 backwards is 000441036231831
- 138132630144000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138132630144000's digits is 36
- More coming soon!
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MLA style:
"Number 138132630144000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 May 2024.
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Numbermatics. (2024). Number 138132630144000 - Facts about the integer. Retrieved 18 May 2024, from https://numbermatics.com/n/138132630144000/
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The information we have on file for 138132630144000 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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