46738638240768

Names of 46738638240768

• Cardinal: 46738638240768 can be written as Forty-six trillion, seven hundred thirty-eight billion, six hundred thirty-eight million, two hundred forty thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 4.6738638240768 × 10¹³

Factors of 46738638240768

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 647

Divisors of 46738638240768

• Number of divisors d(n): 352
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 151 192 216 256 288 302 384 432 453 491 512 576 604 768 864 906 982 1024 1152 1208 1359 1473 1536 1728 1812 1964 2304 2416 2718 2946 3072 3456 3624 3928 4077 4419 4608 4832 5436 5892 6912 7248 7856 8154 8838 9216 9664 10872 11784 13257 13824 14496 15712 16308 17676 19328 21744 22801 23568 26514 27648 28992 31424 32616 35352 38656 43488 45602 47136 53028 57984 62848 65232 68403 70704 74141 77312 86976 91204 94272 106056 115968 125696 130464 136806 141408 148282 154624 173952 182408 188544 205209 212112 222423 231936 251392 260928 273612 282816 296564 347904 364816 377088 410418 424224 444846 463872 502784 521856 547224 565632 593128 615627 667269 695808 729632 754176 820836 848448 889692 1043712 1094448 1131264 1186256 1231254 1334538 1391616 1459264 1508352 1641672 1696896 1779384 2001807 2087424 2188896 2262528 2372512 2462508 2669076 2918528 3283344 3393792 3442951 3558768 4003614 4174848 4377792 4525056 4745024 4925016 5338152 5837056 6566688 6787584 6885902 7117536 8007228 8755584 9490048 9850032 10328853 10676304 11195291 11674112 13133376 13575168 13771804 14235072 16014456 17511168 18980096 19700064 20657706 21352608 22390582 23348224 26266752 27543608 28470144 30986559 32028912 33585873 35022336 37960192 39400128 41315412 42705216 44781164 52533504 55087216 56940288 61973118 64057824 67171746 70044672 75920384 78800256 82630824 85410432 89562328 92959677 100757619 105067008 110174432 113880576 123946236 128115648 134343492 157600512 165261648 170820864 179124656 185919354 201515238 210134016 220348864 227761152 247892472 256231296 268686984 302272857 315201024 330523296 341641728 358249312 371838708 403030476 440697728 495784944 512462592 537373968 604545714 630402048 661046592 683283456 716498624 743677416 806060952 881395456 991569888 1024925184 1074747936 1209091428 1322093184 1432997248 1487354832 1612121904 1690488941 1762790912 1983139776 2049850368 2149495872 2418182856 2644186368 2865994496 2974709664 3224243808 3380977882 3525581824 3966279552 4298991744 4836365712 5071466823 5288372736 5731988992 5949419328 6448487616 6761955764 7932559104 8597983488 9672731424 10142933646 10576745472 11463977984 11898838656 12896975232 13523911528 15214400469 15865118208 17195966976 19345462848 20285867292 23797677312 25793950464 27047823056 30428800938 31730236416 34391933952 38690925696 40571734584 45643201407 47595354624 51587900928 54095646112 60857601876 77381851392 81143469168 91286402814 95190709248 103175801856 108191292224 121715203752 154763702784 162286938336 182572805628 216382584448 243430407504 309527405568 324573876672 365145611256 432765168896 486860815008 649147753344 730291222512 865530337792 973721630016 1298295506688 1460582445024 1731060675584 1947443260032 2596591013376 2921164890048 3894886520064 5193182026752 5842329780096 7789773040128 11684659560192 15579546080256 23369319120384 46738638240768
• Sum of all divisors σ(n): 139623804003840
• Sum of proper divisors (its aliquot sum) s(n): 92885165763072
• 46738638240768 is an abundant number, because the sum of its proper divisors (92885165763072) is greater than itself. Its abundance is 46146527522304

Bases of 46738638240768

• Binary: 1010101000001000101111111011011111110000000000₂
• Hexadecimal: 0x2A822FEDFC00
• Base-36: GKFFMGAO0

Squares and roots of 46738638240768

• 46738638240768 squared (46738638240768²) is 2184500304601380845937229824
• 46738638240768 cubed (46738638240768³) is 102100569473611442996659218981354662264832
• The square root of 46738638240768 is 6836566.2609798497
• The cube root of 46738638240768 is 36021.2421549473

Scales and comparisons

• 46,738,638,240,768 seconds is equal to 1,486,144 years, 6 weeks, 3 days, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 46,738,638,240,768 would take you about three million, seven hundred fifteen thousand, three 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 46738638240768 cubic inches would be around 3001.8 feet tall.

Recreational maths with 46738638240768

• 46738638240768 backwards is 86704283683764
• 46738638240768 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 46738638240768's digits is 72
• More coming soon!