45838960128000

Names of 45838960128000

• Cardinal: 45838960128000 can be written as Forty-five trillion, eight hundred thirty-eight billion, nine hundred sixty million, one hundred twenty-eight thousand.

Scientific notation

• Scientific notation: 4.5838960128 × 10¹³

Factors of 45838960128000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 25
• Sum of prime factors: 137

Divisors of 45838960128000

• Number of divisors d(n): 3328
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 47 48 50 52 54 60 64 65 67 72 75 78 80 81 90 94 96 100 104 108 117 120 125 128 130 134 135 141 144 150 156 160 162 180 188 192 195 200 201 208 216 225 234 235 240 243 250 256 260 268 270 282 288 300 312 320 324 325 335 351 360 375 376 384 390 400 402 405 416 423 432 450 468 470 480 486 500 512 520 536 540 564 576 585 600 603 611 624 640 648 650 670 675 702 705 720 729 750 752 768 780 800 804 810 832 846 864 871 900 936 940 960 972 975 1000 1005 1024 1040 1053 1072 1080 1125 1128 1152 1170 1175 1200 1206 1215 1222 1248 1269 1280 1296 1300 1340 1350 1404 1410 1440 1458 1500 1504 1536 1560 1600 1608 1620 1625 1664 1675 1692 1728 1742 1755 1800 1809 1833 1872 1880 1920 1944 1950 2000 2010 2025 2048 2080 2106 2115 2144 2160 2187 2250 2256 2304 2340 2350 2400 2412 2430 2444 2496 2538 2560 2592 2600 2613 2680 2700 2808 2820 2880 2916 2925 3000 3008 3015 3055 3072 3120 3149 3159 3200 3216 3240 3250 3328 3350 3375 3384 3456 3484 3510 3525 3600 3618 3645 3666 3744 3760 3807 3840 3888 3900 4000 4020 4050 4096 4160 4212 4230 4288 4320 4355 4374 4500 4512 4608 4680 4700 4800 4824 4860 4875 4888 4992 5025 5076 5120 5184 5200 5226 5265 5360 5400 5427 5499 5616 5640 5760 5832 5850 5875 6000 6016 6030 6075 6110 6144 6240 6298 6318 6345 6400 6432 6480 6500 6656 6700 6750 6768 6912 6968 7020 7050 7200 7236 7290 7332 7488 7520 7614 7680 7776 7800 7839 8000 8040 8100 8320 8375 8424 8460 8576 8640 8710 8748 8775 9000 9024 9045 9165 9216 9360 9400 9447 9477 9600 9648 9720 9750 9776 9984 10050 10125 10152 10240 10368 10400 10452 10530 10575 10720 10800 10854 10935 10998 11232 11280 11421 11520 11664 11700 11750 12000 12032 12060 12150 12220 12288 12480 12596 12636 12690 12800 12864 12960 13000 13065 13312 13400 13500 13536 13824 13936 14040 14100 14400 14472 14580 14625 14664 14976 15040 15075 15228 15275 15360 15552 15600 15678 15745 15795 16000 16080 16200 16281 16497 16640 16750 16848 16920 17152 17280 17420 17496 17550 17625 18000 18048 18090 18225 18330 18432 18720 18800 18894 18954 19035 19200 19296 19440 19500 19552 19968 20100 20250 20304 20480 20736 20800 20904 21060 21150 21440 21600 21708 21775 21870 21996 22464 22560 22842 23040 23328 23400 23500 23517 24000 24064 24120 24300 24440 24960 25125 25192 25272 25380 25600 25728 25920 26000 26130 26325 26624 26800 27000 27072 27135 27495 27648 27872 28080 28200 28341 28431 28800 28944 29160 29250 29328 29952 30080 30150 30375 30456 30550 30720 31104 31200 31356 31490 31590 31725 32000 32160 32400 32562 32994 33280 33500 33696 33840 34263 34304 34560 34840 34992 35100 35250 36000 36096 36180 36450 36660 36864 37440 37600 37788 37908 38070 38400 38592 38880 39000 39104 39195 39936 40200 40500 40608 40937 41472 41600 41808 42120 42300 42880 43200 43416 43550 43740 43875 43992 44928 45120 45225 45684 45825 46080 46656 46800 47000 47034 47235 47385 48000 48128 48240 48600 48843 48880 49491 49920 50250 50384 50544 50760 51200 51456 51840 52000 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6841635840 6886863000 7052147712 7073913600 7126704000 7162337520 7224422400 7255296000 7278336000 7345987200 7460768250 7502284800 7545507840 7601817600 7619508000 7639826688 7802376192 7835719680 7859904000 7958152800 8127475200 8162208000 8335872000 8446464000 8488696320 8552044800 8706355200 8771328000 8815184640 8842392000 8952921900 9030528000 9122181120 9182484000 9377856000 9402863616 9431884800 9502272000 9549783360 9752970240 9794649600 9947691000 10159344000 10186435584 10479872000 10525593600 10610870400 10690056000 10836633600 10882944000 11018980800 11191152375 11318261760 11402726400 11459740032 11753579520 11789856000 11937229200 12040704000 12191212800 12243312000 12503808000 12575846400 12669696000 12733044480 13003960320 13059532800 13156992000 13263588000 13545792000 13581914112 13683271680 13773726000 14104295424 14147827200 14253408000 14324675040 14510592000 14556672000 14691974400 14921536500 15004569600 15203635200 15239016000 15279653376 15671439360 15719808000 15916305600 16254950400 16324416000 16977392640 17104089600 17542656000 17630369280 17684784000 17905843800 18061056000 18364968000 18755712000 18863769600 19004544000 19099566720 19505940480 19589299200 19895382000 20318688000 20372871168 20959744000 21221740800 21380112000 21673267200 21765888000 22037961600 22382304750 22636523520 22805452800 22919480064 23507159040 23579712000 23874458400 24382425600 24486624000 25007616000 25339392000 25466088960 26119065600 26313984000 26527176000 27091584000 27366543360 27547452000 28208590848 28295654400 28506816000 28649350080 29383948800 29843073000 30478032000 30559306752 31439616000 31832611200 32509900800 32648832000 33954785280 34208179200 35260738560 35369568000 35811687600 36122112000 36729936000 37511424000 37727539200 38009088000 38199133440 39011880960 39178598400 39790764000 40637376000 40745742336 42443481600 42760224000 43531776000 44075923200 44764609500 45610905600 45838960128 47014318080 47159424000 47748916800 48764851200 48973248000 50932177920 52627968000 53054352000 54183168000 55094904000 56591308800 57013632000 57298700160 58767897600 59686146000 60956064000 61118613504 62879232000 63665222400 65019801600 65297664000 67909570560 68416358400 70521477120 70739136000 71623375200 73459872000 75022848000 76018176000 76398266880 78357196800 79581528000 81274752000 84886963200 85520448000 88151846400 89529219000 91677920256 94318848000 95497833600 97529702400 97946496000 101864355840 106108704000 108366336000 110189808000 113182617600 114027264000 114597400320 117535795200 119372292000 121912128000 122237227008 127330444800 130595328000 136832716800 141042954240 141478272000 143246750400 146919744000 152796533760 159163056000 162549504000 169773926400 171040896000 176303692800 179058438000 183355840512 188637696000 190995667200 195059404800 195892992000 203728711680 212217408000 220379616000 228054528000 229194800640 235071590400 238744584000 243824256000 254660889600 282956544000 286493500800 293839488000 305593067520 318326112000 325099008000 339547852800 342081792000 352607385600 358116876000 366711681024 381991334400 391785984000 424434816000 440759232000 458389601280 477489168000 487648512000 509321779200 565913088000 572987001600 587678976000 611186135040 636652224000 684163584000 705214771200 716233752000 763982668800 848869632000 881518464000 916779202560 954978336000 975297024000 1018643558400 1145974003200 1175357952000 1273304448000 1432467504000 1527965337600 1697739264000 1763036928000 1833558405120 1909956672000 2291948006400 2546608896000 2864935008000 3055930675200 3526073856000 3819913344000 4583896012800 5093217792000 5729870016000 7639826688000 9167792025600 11459740032000 15279653376000 22919480064000 45838960128000
• Sum of all divisors σ(n): 191519744532480
• Sum of proper divisors (its aliquot sum) s(n): 145680784404480
• 45838960128000 is an abundant number, because the sum of its proper divisors (145680784404480) is greater than itself. Its abundance is 99841824276480

Bases of 45838960128000

• Binary: 1010011011000010110110111011110111000000000000₂
• Hexadecimal: 0x29B0B6EF7000
• Base-36: G8Y4LC000

Squares and roots of 45838960128000

• 45838960128000 squared (45838960128000²) is 2101210265616373776384000000
• 45838960128000 cubed (45838960128000³) is 96317293586133246879610964017152000000000
• The square root of 45838960128000 is 6770447.5574366573
• The cube root of 45838960128000 is 35788.6172440427

Scales and comparisons

• 45,838,960,128,000 seconds is equal to 1,457,537 years, 7 weeks, 3 days.
• To count from 1 to 45,838,960,128,000 would take you about three million, six hundred forty-three thousand, eight hundred forty-two 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 45838960128000 cubic inches would be around 2982.4 feet tall.

Recreational maths with 45838960128000

• 45838960128000 backwards is 00082106983854
• 45838960128000 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 45838960128000's digits is 54
• More coming soon!