20938646912000

Names of 20938646912000

• Cardinal: 20938646912000 can be written as Twenty trillion, nine hundred thirty-eight billion, six hundred forty-six million, nine hundred twelve thousand.

Scientific notation

• Scientific notation: 2.0938646912 × 10¹³

Factors of 20938646912000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 394

Divisors of 20938646912000

• Number of divisors d(n): 792
• Complete list of divisors:
  1 2 4 5 8 10 16 19 20 25 32 37 38 40 50 64 74 76 80 95 100 125 128 148 152 160 185 190 200 250 256 296 304 320 331 361 370 380 400 475 500 512 592 608 640 662 703 722 740 760 800 925 950 1000 1024 1184 1216 1280 1324 1369 1406 1444 1480 1520 1600 1655 1805 1850 1900 2000 2368 2375 2432 2560 2648 2738 2812 2888 2960 3040 3200 3310 3515 3610 3700 3800 4000 4625 4736 4750 4864 5120 5296 5476 5624 5776 5920 6080 6289 6400 6620 6845 7030 7220 7400 7600 8000 8275 9025 9250 9472 9500 9728 10592 10952 11248 11552 11840 12160 12247 12578 12800 13240 13357 13690 14060 14440 14800 15200 16000 16550 17575 18050 18500 18944 19000 19456 21184 21904 22496 23104 23680 24320 24494 25156 25600 26011 26480 26714 27380 28120 28880 29600 30400 31445 32000 33100 34225 35150 36100 37000 37888 38000 41375 42368 43808 44992 45125 46208 47360 48640 48988 50312 52022 52960 53428 54760 56240 57760 59200 60800 61235 62890 64000 66200 66785 68450 70300 72200 74000 76000 82750 84736 87616 87875 89984 90250 92416 94720 97280 97976 100624 104044 105920 106856 109520 112480 115520 118400 119491 121600 122470 125780 128000 130055 132400 133570 136900 140600 144400 148000 152000 157225 165500 169472 171125 175232 175750 179968 180500 184832 189440 195952 201248 208088 211840 213712 219040 224960 231040 232693 236800 238982 243200 244940 251560 260110 264800 267140 273800 281200 288800 296000 304000 306175 314450 331000 333925 338944 342250 350464 351500 359936 361000 369664 391904 402496 416176 423680 427424 438080 449920 453139 462080 465386 473600 477964 486400 489880 494209 503120 520220 529600 534280 547600 562400 577600 592000 597455 608000 612350 628900 650275 662000 667850 684500 700928 703000 719872 722000 783808 786125 804992 832352 847360 854848 876160 899840 906278 924160 930772 947200 955928 979760 988418 1006240 1040440 1059200 1068560 1095200 1124800 1155200 1163465 1184000 1194910 1216000 1224700 1257800 1300550 1324000 1335700 1369000 1401856 1406000 1444000 1530875 1567616 1572250 1609984 1664704 1669625 1694720 1709696 1752320 1799680 1812556 1848320 1861544 1911856 1959520 1976836 2012480 2080880 2118400 2137120 2190400 2249600 2265695 2310400 2326930 2368000 2389820 2432000 2449400 2471045 2515600 2601100 2648000 2671400 2738000 2812000 2888000 2987275 3061750 3135232 3144500 3219968 3251375 3329408 3339250 3419392 3504640 3599360 3625112 3723088 3823712 3919040 3953672 4024960 4161760 4236800 4274240 4380800 4421167 4499200 4531390 4620800 4653860 4736000 4779640 4898800 4942090 5031200 5202200 5296000 5342800 5476000 5624000 5776000 5817325 5974550 6123500 6270464 6289000 6439936 6502750 6658816 6678500 6838784 7009280 7250224 7446176 7647424 7838080 7907344 8049920 8323520 8473600 8548480 8609641 8761600 8842334 8998400 9062780 9241600 9307720 9559280 9797600 9884180 10062400 10404400 10592000 10685600 10952000 11248000 11328475 11552000 11634650 11949100 12247000 12355225 12540928 12578000 13005500 13317632 13357000 13677568 14500448 14892352 14936375 15294848 15676160 15814688 16099840 16647040 17096960 17219282 17523200 17684668 17996800 18125560 18615440 19118560 19595200 19768360 20124800 20808800 21184000 21371200 21904000 22105835 22496000 22656950 23104000 23269300 23898200 24494000 24710450 25156000 26011000 26635264 26714000 29000896 29086625 29784704 29872750 30589696 31352320 31629376 32199680 33294080 34193920 34438564 35046400 35369336 36251120 37230880 38237120 39190400 39536720 40249600 41617600 42368000 42742400 43048205 43808000 44211670 44992000 45313900 46208000 46538600 47796400 48988000 49420900 50312000 52022000 53428000 56642375 58001792 58173250 59569408 59745500 61179392 61776125 62704640 63258752 66588160 68387840 68877128 70738672 72502240 74461760 76474240 78380800 79073440 80499200 83235200 85484800 86096410 87616000 88423340 89984000 90627800 93077200 95592800 97976000 98841800 100624000 104044000 106856000 110529175 113284750 116003584 116346500 119138816 119491000 122358784 123552250 126517504 133176320 137754256 141477344 145004480 148923520 152948480 156761600 158146880 160998400 163583179 166470400 170969600 172192820 175232000 176846680 181255600 186154400 191185600 195952000 197683600 201248000 208088000 213712000 215241025 221058350 226569500 232007168 232693000 238277632 238982000 247104500 253035008 275508512 282954688 290008960 297847040 305896960 313523200 316293760 327166358 332940800 341939200 344385640 353693360 362511200 372308800 382371200 391904000 395367200 402496000 416176000 427424000 430482050 442116700 453139000 464014336 465386000 477964000 494209000 506070016 551017024 552645875 565909376 580017920 595694080 611793920 632587520 654332716 665881600 688771280 707386720 725022400 744617600 764742400 783808000 790734400 804992000 817915895 832352000 854848000 860964100 884233400 906278000 930772000 955928000 988418000 1076205125 1102034048 1105291750 1131818752 1160035840 1191388160 1265175040 1308665432 1377542560 1414773440 1450044800 1489235200 1529484800 1567616000 1581468800 1635831790 1664704000 1709696000 1721928200 1768466800 1812556000 1861544000 1911856000 1976836000 2152410250 2204068096 2210583500 2263637504 2320071680 2530350080 2617330864 2755085120 2829546880 2900089600 2978470400 3058969600 3162937600 3271663580 3329408000 3443856400 3536933600 3625112000 3723088000 3823712000 3953672000 4089579475 4304820500 4408136192 4421167000 4527275008 5234661728 5510170240 5659093760 5800179200 5956940800 6325875200 6543327160 6887712800 7073867200 7250224000 7446176000 7647424000 7907344000 8179158950 8609641000 8816272384 8842334000 10469323456 11020340480 11318187520 11600358400 12651750400 13086654320 13775425600 14147734400 14500448000 14892352000 15294848000 15814688000 16358317900 17219282000 17684668000 20447897375 20938646912 22040680960 22636375040 26173308640 27550851200 28295468800 29000896000 29784704000 31629376000 32716635800 34438564000 35369336000 40895794750 41877293824 44081361920 52346617280 55101702400 56590937600 58001792000 63258752000 65433271600 68877128000 70738672000 81791589500 83754587648 104693234560 110203404800 113181875200 130866543200 137754256000 141477344000 163583179000 167509175296 209386469120 220406809600 261733086400 275508512000 282954688000 327166358000 418772938240 523466172800 551017024000 565909376000 654332716000 837545876480 1046932345600 1102034048000 1308665432000 2093864691200 2617330864000 4187729382400 5234661728000 10469323456000 20938646912000
• Sum of all divisors σ(n): 56832871285008
• Sum of proper divisors (its aliquot sum) s(n): 35894224373008
• 20938646912000 is an abundant number, because the sum of its proper divisors (35894224373008) is greater than itself. Its abundance is 14955577461008

Bases of 20938646912000

• Binary: 100110000101100101000100111000111110000000000₂
• Hexadecimal: 0x130B289C7C00
• Base-36: 7F72XR20W

Squares and roots of 20938646912000

• 20938646912000 squared (20938646912000²) is 438426934505407135744000000
• 20938646912000 cubed (20938646912000³) is 9180066778319269370148870422528000000000
• The square root of 20938646912000 is 4575876.6277075259
• The cube root of 20938646912000 is 27562.3475369145

Scales and comparisons

• 20,938,646,912,000 seconds is equal to 665,784 years, 10 weeks, 4 days, 8 hours, 53 minutes, 20 seconds.
• To count from 1 to 20,938,646,912,000 would take you about one million, six hundred sixty-four thousand, four hundred sixty 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 20938646912000 cubic inches would be around 2296.9 feet tall.

Recreational maths with 20938646912000

• 20938646912000 backwards is 00021964683902
• 20938646912000 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 20938646912000's digits is 50
• More coming soon!