38923213056000
38,923,213,056,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 38923213056000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
38923213056000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 38923213056000:
211 × 3 × 53 × 7 × 13 × 17 × 1812
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 13 × 17 × 181 × 181)See below for interesting mathematical facts about the number 38923213056000 from the Numbermatics database.
Names of 38923213056000
- Cardinal: 38923213056000 can be written as Thirty-eight trillion, nine hundred twenty-three billion, two hundred thirteen million, fifty-six thousand.
Scientific notation
- Scientific notation: 3.8923213056 × 1013
Factors of 38923213056000
Divisors of 38923213056000
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 17 20 21 24 25 26 28 30 32 34 35 39 40 42 48 50 51 52 56 60 64 65 68 70 75 78 80 84 85 91 96 100 102 104 105 112 119 120 125 128 130 136 140 150 156 160 168 170 175 181 182 192 195 200 204 208 210 221 224 238 240 250 255 256 260 272 273 280 300 312 320 325 336 340 350 357 362 364 375 384 390 400 408 416 420 425 442 448 455 476 480 500 510 512 520 525 543 544 546 560 595 600 624 640 650 663 672 680 700 714 724 728 750 768 780 800 816 832 840 850 875 884 896 905 910 952 960 975 1000 1020 1024 1040 1050 1086 1088 1092 1105 1120 1190 1200 1248 1267 1275 1280 1300 1326 1344 1360 1365 1400 1428 1448 1456 1500 1536 1547 1560 1600 1625 1632 1664 1680 1700 1750 1768 1785 1792 1810 1820 1904 1920 1950 2000 2040 2048 2080 2100 2125 2172 2176 2184 2210 2240 2275 2353 2380 2400 2496 2534 2550 2560 2600 2625 2652 2688 2715 2720 2730 2800 2856 2896 2912 2975 3000 3072 3077 3094 3120 3200 3250 3264 3315 3328 3360 3400 3500 3536 3570 3584 3620 3640 3801 3808 3840 3900 4000 4080 4160 4200 4250 4344 4352 4368 4420 4480 4525 4550 4641 4706 4760 4800 4875 4992 5068 5100 5120 5200 5250 5304 5376 5430 5440 5460 5525 5600 5712 5792 5824 5950 6000 6144 6154 6188 6240 6335 6375 6400 6500 6528 6630 6656 6720 6800 6825 7000 7059 7072 7140 7168 7240 7280 7602 7616 7680 7735 7800 8000 8160 8320 8400 8500 8688 8704 8736 8840 8925 8960 9050 9100 9231 9282 9412 9520 9600 9750 9984 10136 10200 10240 10400 10500 10608 10752 10860 10880 10920 11050 11200 11375 11424 11584 11648 11765 11900 12000 12308 12376 12480 12670 12750 12800 13000 13056 13260 13312 13440 13575 13600 13650 14000 14118 14144 14280 14336 14480 14560 14875 15204 15232 15360 15385 15470 15600 16000 16320 16471 16575 16640 16800 17000 17376 17408 17472 17680 17850 17920 18100 18200 18462 18564 18824 19005 19040 19200 19500 19968 20272 20400 20800 21000 21216 21504 21539 21720 21760 21840 22100 22400 22625 22750 22848 23168 23205 23296 23530 23800 24000 24616 24752 24960 25340 25500 25600 26000 26112 26520 26624 26880 27150 27200 27300 27625 28000 28236 28288 28560 28960 29120 29750 30408 30464 30720 30770 30940 31200 31675 32000 32640 32761 32942 33150 33280 33600 34000 34125 34752 34816 34944 35295 35360 35700 35840 36200 36400 36924 37128 37648 38010 38080 38400 38675 39000 39936 40001 40544 40800 41600 42000 42432 43008 43078 43440 43520 43680 44200 44625 44800 45250 45500 45696 46155 46336 46410 46592 47060 47600 48000 49232 49413 49504 49920 50680 51000 51200 52000 52224 53040 53760 54300 54400 54600 55250 56000 56472 56576 57120 57920 58240 58825 59500 60816 60928 61540 61880 62400 63350 64000 64617 65280 65522 65884 66300 66560 67200 67875 68000 68250 69504 69888 70590 70720 71400 71680 72400 72800 73848 74256 75296 76020 76160 76800 76925 77350 78000 79872 80002 81088 81600 82355 82875 83200 84000 84864 86156 86880 87040 87360 88400 89250 89600 90500 91000 91392 92310 92672 92820 93184 94120 95025 95200 96000 98283 98464 98826 99008 99840 101360 102000 104000 104448 106080 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323085 324352 326400 327610 329420 331500 332800 336000 339456 344624 347520 349440 352950 353600 357000 358400 362000 364000 365568 369240 370688 371280 376480 380100 380800 384000 384625 386750 393132 393856 395304 396032 399360 400010 405440 408000 411775 416000 424320 425893 430780 434400 435200 436800 442000 448000 451776 452608 456960 458654 461550 463360 464100 465920 470600 475125 476000 480012 486528 491415 492320 494130 495040 499200 506800 516936 522240 524176 527072 530400 537600 538475 543000 544000 546000 556032 556937 559104 560014 564720 565760 571200 579200 580125 582400 588250 590784 594048 600015 602368 608160 609280 615400 618800 624000 633500 640016 646170 648704 652800 655220 658840 663000 665600 672000 678912 687981 689248 695040 698880 705900 707200 714000 724000 728000 731136 738480 742560 752960 760200 761600 768000 769250 773500 786264 787712 790608 792064 800020 810880 816000 819025 823550 832000 840021 848640 851786 861560 868800 870400 873600 882375 884000 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2184000 2227748 2240056 2258880 2263040 2284800 2293270 2307750 2316800 2320500 2329600 2353000 2363136 2376192 2400060 2409472 2432640 2457075 2461600 2470650 2475200 2496000 2534000 2555358 2560064 2584680 2594816 2611200 2620880 2635360 2652000 2688000 2692375 2751924 2756992 2780160 2784685 2795520 2800070 2823600 2828800 2856000 2896000 2912000 2953920 2970240 2981251 3000075 3011840 3040800 3046400 3077000 3094000 3145056 3150848 3162432 3168256 3200080 3230850 3243520 3264000 3276100 3294200 3328000 3341622 3360084 3394560 3407144 3439905 3446240 3475200 3494400 3529500 3536000 3614208 3655680 3669232 3692400 3712800 3764800 3801000 3808000 3840096 3892224 3898559 3931320 3938560 3953040 3960320 4000100 4054400 4095125 4117750 4135488 4193408 4200105 4216576 4243200 4258930 4307800 4344000 4352000 4368000 4455496 4480112 4517760 4569600 4586540 4615500 4633600 4641000 4659200 4706000 4726272 4752384 4800120 4818944 4865280 4914150 4923200 4941300 4950400 4992000 5000125 5068000 5110716 5120128 5169360 5241760 5270720 5304000 5376000 5384750 5503848 5513984 5560320 5569370 5600140 5647200 5657600 5712000 5733175 5792000 5824000 5907840 5940480 5962502 6000150 6023680 6081600 6092800 6154000 6176625 6188000 6290112 6301696 6324864 6388395 6400160 6461700 6487040 6528000 6552200 6588400 6683244 6720168 6789120 6814288 6879810 6892480 6950400 6988800 7000175 7059000 7072000 7228416 7240181 7338464 7384800 7425600 7529600 7602000 7616000 7680192 7784448 7797118 7862640 7877120 7906080 7920640 8000200 8077125 8108800 8190250 8235500 8270976 8354055 8386816 8400210 8433152 8486400 8517860 8615600 8688000 8736000 8910992 8943753 8960224 9035520 9139200 9173080 9231000 9267200 9282000 9412000 9452544 9504768 9600240 9730560 9828300 9846400 9882600 9900800 9984000 10000250 10136000 10221432 10240256 10338720 10483520 10541440 10608000 10647325 10769500 11007696 11027968 11138740 11200280 11294400 11315200 11424000 11466350 11584000 11648000 11695677 11815680 11880960 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121635040800 124753888000 129744043520 139011475200 142575872000 143100048000 149704665600 152043801000 152640051200 155692852224 162180054400 163542912000 173764344000 176123136000 185348633600 187130832000 190800064000 194616065280 199606220800 202725068000 213863808000 215045376000 222418360320 228960076800 231685792000 243270081600 249507776000 259488087040 278022950400 286200096000 299409331200 304087602000 311385704448 324360108800 327085824000 347528688000 370697267200 374261664000 381600128000 389232130560 405450136000 427727616000 457920153600 463371584000 486540163200 499015552000 518976174080 556045900800 572400192000 598818662400 608175204000 648720217600 695057376000 748523328000 763200256000 778464261120 810900272000 926743168000 973080326400 998031104000 1112091801600 1144800384000 1216350408000 1297440435200 1390114752000 1497046656000 1556928522240 1621800544000 1853486336000 1946160652800 2289600768000 2432700816000 2594880870400 2780229504000 2994093312000 3243601088000 3892321305600 4865401632000 5560459008000 6487202176000 7784642611200 9730803264000 12974404352000 19461606528000 38923213056000
- Sum of all divisors σ(n): 169704035504640
- Sum of proper divisors (its aliquot sum) s(n): 130780822448640
- 38923213056000 is an abundant number, because the sum of its proper divisors (130780822448640) is greater than itself. Its abundance is 91857609392640
Bases of 38923213056000
- Binary: 10001101100110100001000100100110101000000000002
- Hexadecimal: 0x23668449A800
- Base-36: DSP2S33EO
Squares and roots of 38923213056000
- 38923213056000 squared (389232130560002) is 1515016514602768859136000000
- 38923213056000 cubed (389232130560003) is 58969310581242107511672580079616000000000
-
The
square root of 38923213056000 is 6238847.0934941177 -
The
cube root of 38923213056000 is 33889.8433317635
Scales and comparisons
How big is 38923213056000?- 38,923,213,056,000 seconds is equal to 1,237,637 years, 40 weeks, 3 days, 2 hours, 40 minutes.
-
To count from 1 to 38,923,213,056,000 would take you about three million, ninety-four thousand and ninety-four 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 38923213056000 cubic inches would be around 2824.2 feet tall.
Recreational maths with 38923213056000
- 38923213056000 backwards is 00065031232983
- 38923213056000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 38923213056000's digits is 42
- More coming soon!
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"Number 38923213056000 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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Numbermatics. (2024). Number 38923213056000 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/38923213056000/
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Numbermatics. 2024. "Number 38923213056000 - Facts about the integer". https://numbermatics.com/n/38923213056000/
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