3972135504384

Names of 3972135504384

• Cardinal: 3972135504384 can be written as Three trillion, nine hundred seventy-two billion, one hundred thirty-five million, five hundred four thousand, three hundred eighty-four.

Scientific notation

• Scientific notation: 3.972135504384 × 10¹²

Factors of 3972135504384

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 975

Divisors of 3972135504384

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 43 48 54 64 72 74 86 96 108 111 128 129 144 148 172 192 216 222 256 258 288 296 313 333 344 384 387 432 444 512 516 576 577 592 626 666 688 768 774 864 888 939 999 1032 1152 1154 1161 1184 1252 1332 1376 1536 1548 1591 1728 1731 1776 1878 1998 2064 2304 2308 2322 2368 2504 2664 2752 2817 3096 3182 3456 3462 3552 3756 3996 4128 4608 4616 4644 4736 4773 5008 5193 5328 5504 5634 6192 6364 6912 6924 7104 7512 7992 8256 8451 9232 9288 9472 9546 10016 10386 10656 11008 11268 11581 12384 12728 13459 13824 13848 14208 14319 15024 15579 15984 16512 16902 18464 18576 18944 19092 20032 20772 21312 21349 22016 22536 23162 24768 24811 25456 26918 27696 28416 28638 30048 31158 31968 33024 33804 34743 36928 37152 38184 40064 40377 41544 42624 42698 42957 45072 46324 49536 49622 50912 53836 55392 56832 57276 60096 62316 63936 64047 66048 67608 69486 73856 74304 74433 76368 80128 80754 83088 85248 85396 85914 90144 92648 99072 99244 101824 104229 107672 110784 114552 120192 121131 124632 127872 128094 135216 138972 147712 148608 148866 152736 160256 161508 166176 170496 170792 171828 180288 180601 185296 192141 198144 198488 203648 208458 215344 221568 223299 229104 240384 242262 249264 255744 256188 270432 277944 295424 297216 297732 305472 312687 323016 332352 341584 343656 360576 361202 363393 370592 384282 396976 407296 416916 430688 443136 446598 458208 480768 484524 497983 498528 511488 512376 540864 541803 555888 576423 594432 595464 610944 625374 646032 664704 669897 683168 687312 721152 722404 726786 741184 768564 793952 814592 833832 861376 886272 893196 916416 918007 969048 995966 997056 1024752 1081728 1083606 1111776 1152846 1190928 1221888 1250748 1292064 1329408 1339794 1366336 1374624 1442304 1444808 1453572 1482368 1493949 1537128 1587904 1625409 1667664 1722752 1786392 1832832 1836014 1938096 1991932 1994112 2049504 2163456 2167212 2223552 2305692 2381856 2443776 2501496 2584128 2658816 2679588 2732672 2749248 2754021 2889616 2907144 2964736 2987898 3074256 3175808 3250818 3335328 3445504 3572784 3665664 3672028 3876192 3983864 3988224 4099008 4326912 4334424 4447104 4481847 4611384 4763712 4876227 5002992 5168256 5359176 5465344 5498496 5508042 5779232 5814288 5929472 5975796 6148512 6351616 6501636 6670656 6682237 6891008 7145568 7331328 7344056 7752384 7765843 7967728 7976448 8198016 8262063 8668848 8894208 8963694 9222768 9527424 9752454 10005984 10336512 10718352 10930688 10996992 11016084 11558464 11628576 11951592 12297024 12703232 13003272 13341312 13364474 13445541 14291136 14688112 15504768 15531686 15935456 16396032 16524126 17337696 17788416 17927388 18445536 19054848 19504908 20011968 20046711 20673024 21436704 21993984 22032168 23116928 23257152 23297529 23903184 24594048 24786189 26006544 26682624 26728948 26891082 28582272 29376224 31009536 31063372 31870912 32792064 33048252 34675392 35854776 36891072 38109696 39009816 40023936 40093422 42873408 44064336 46233856 46514304 46595058 47806368 49188096 49572378 52013088 53365248 53457896 53782164 57164544 58752448 60140133 62019072 62126744 63741824 66096504 69350784 69892587 71709552 73782144 78019632 80047872 80186844 85746816 88128672 92467712 93028608 93190116 95612736 98376192 99144756 104026176 106915792 107564328 114329088 117504896 120280266 124253488 127483648 132193008 138701568 139785174 143419104 147564288 156039264 160095744 160373688 171493632 176257344 180420399 186057216 186380232 191225472 198289512 208052352 209677761 213831584 215128656 235009792 240560532 248506976 254967296 264386016 277403136 279570348 286838208 287336191 295128576 312078528 320747376 342987264 352514688 360840798 372760464 382450944 396579024 416104704 419355522 427663168 430257312 470019584 481121064 497013952 528772032 559140696 573676416 574672382 624157056 641494752 705029376 721681596 745520928 764901888 793158048 832209408 838711044 855326336 860514624 862008573 962242128 994027904 1057544064 1118281392 1147352832 1149344764 1248314112 1282989504 1410058752 1443363192 1491041856 1586316096 1677422088 1710652672 1721029248 1724017146 1924484256 1988055808 2115088128 2236562784 2294705664 2298689528 2496628224 2565979008 2586025719 2886726384 2982083712 3172632192 3354844176 3421305344 3442058496 3448034292 3848968512 3976111616 4230176256 4473125568 4597379056 5131958016 5172051438 5773452768 5964167424 6345264384 6709688352 6884116992 6896068584 7697937024 7758077157 8946251136 9194758112 10263916032 10344102876 11546905536 11928334848 12690528768 13419376704 13792137168 15395874048 15516154314 17892502272 18389516224 20688205752 23093811072 26838753408 27584274336 30791748096 31032308628 35785004544 36779032448 41376411504 46187622144 53677506816 55168548672 62064617256 73558064896 82752823008 92375244288 107355013632 110337097344 124129234512 147116129792 165505646016 220674194688 248258469024 331011292032 441348389376 496516938048 662022584064 993033876096 1324045168128 1986067752192 3972135504384
• Sum of all divisors σ(n): 12417363214080
• Sum of proper divisors (its aliquot sum) s(n): 8445227709696
• 3972135504384 is an abundant number, because the sum of its proper divisors (8445227709696) is greater than itself. Its abundance is 4473092205312

Bases of 3972135504384

• Binary: 111001110011010101101110011100101000000000₂
• Hexadecimal: 0x39CD5B9CA00
• Base-36: 1EORUX6O0

Squares and roots of 3972135504384

• 3972135504384 squared (3972135504384²) is 15777860465187934083219456
• 3972135504384 cubed (3972135504384³) is 62671799736989647422999858489122095104
• The square root of 3972135504384 is 1993021.7019350293
• The cube root of 3972135504384 is 15837.0644881563

Scales and comparisons

• 3,972,135,504,384 seconds is equal to 126,301 years, 32 weeks, 2 days, 13 hours, 26 minutes, 24 seconds.
• To count from 1 to 3,972,135,504,384 would take you about three hundred fifteen thousand, seven hundred fifty-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 3972135504384 cubic inches would be around 1319.8 feet tall.

Recreational maths with 3972135504384

• 3972135504384 backwards is 4834055312793
• 3972135504384 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 3972135504384's digits is 54
• More coming soon!