400959443137968

Names of 400959443137968

• Cardinal: 400959443137968 can be written as Four hundred trillion, nine hundred fifty-nine billion, four hundred forty-three million, one hundred thirty-seven thousand, nine hundred sixty-eight.

Scientific notation

• Scientific notation: 4.00959443137968 × 10¹⁴

Factors of 400959443137968

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 71848

Divisors of 400959443137968

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 173 176 198 208 234 264 286 312 346 396 429 468 519 528 572 624 692 792 858 936 1038 1144 1287 1384 1557 1584 1607 1716 1872 1903 2076 2249 2288 2574 2768 3114 3214 3432 3806 4152 4498 4821 5148 5709 6228 6428 6747 6864 7612 8304 8996 9642 10296 11418 12456 12856 13494 14463 15224 17127 17677 17992 19284 20241 20592 20891 22836 24739 24912 25712 26988 28926 30448 34254 35354 35984 38568 40482 41782 45672 49478 53031 53976 57852 62673 68508 70039 70708 74217 77136 80964 83564 91344 98956 106062 107952 115704 125346 137016 140078 141416 148434 159093 161928 167128 188019 197912 210117 212124 222651 229801 231408 250692 274032 278011 280156 282832 296868 318186 323856 334256 376038 395824 420234 424248 445302 459602 501384 556022 560312 593736 630351 636372 689403 752076 770429 834033 840468 848496 890604 910507 919204 1002768 1112044 1120624 1187472 1260702 1272744 1378806 1504152 1540858 1668066 1680936 1781208 1821014 1838408 2068209 2224088 2311287 2502099 2521404 2545488 2731521 2757612 3008304 3058121 3081716 3336132 3361872 3562416 3614143 3642028 3676816 4136418 4448176 4622574 5004198 5042808 5463042 5515224 6116242 6163432 6672264 6933861 7228286 7284056 8194563 8272836 9174363 9245148 10008396 10015577 10085616 10842429 10926084 11030448 12116747 12232484 12326864 13344528 13867722 14456572 14568112 16389126 16545672 18348726 18490296 20016792 20031154 21684858 21852168 24233494 24464968 27523089 27735444 28913144 30046731 32527287 32778252 33091344 36350241 36697452 36980592 39755573 40033584 40062308 43369716 43704336 48466988 48929936 55046178 55470888 57826288 60093462 65054574 65556504 72700482 73394904 79511146 80124616 86739432 90140193 96933976 109050723 110092356 110941776 112552673 119266719 120186924 130109148 131113008 133284217 145400964 146789808 157517711 159022292 160249232 173478864 180280386 193867952 218101446 220184712 225105346 238533438 240373848 260218296 266568434 290801928 315035422 318044584 337658019 357800157 360560772 399852651 436202892 440369424 450210692 472553133 477066876 480747696 520436592 533136868 581603856 630070844 636089168 675316038 715600314 721121544 799705302 872405784 900421384 945106266 954133752 1012974057 1066273736 1199557953 1238079403 1260141688 1350632076 1417659399 1431200628 1442243088 1463184749 1599410604 1732694821 1744811568 1800842768 1890212532 1908267504 2025948114 2132547472 2399115906 2476158806 2520283376 2701264152 2835318798 2862401256 2926369498 3198821208 3465389642 3714238209 3780425064 4051896228 4389554247 4798231812 4952317612 5198084463 5402528304 5670637596 5724802512 5852738996 6397642416 6930779284 7428476418 7560850128 8103792456 8779108494 9596463624 9904635224 10396168926 11142714627 11341275192 11705477992 13168662741 13861558568 14856952836 15594253389 16095032239 16207584912 17558216988 19192927248 19471612429 19809270448 20792337852 22285429254 22682550384 23410955984 26337325482 27723117136 29713905672 31188506778 32190064478 35116433976 38943224858 41584675704 44570858508 48285096717 52674650964 58414837287 59427811344 62377013556 64380128956 70232867952 77886449716 83169351408 89141717016 96570193434 105349301928 116829674574 124754027112 128760257912 144855290151 155772899432 175244511861 178283434032 193140386868 210698603856 214187736719 233659349148 249508054224 253130961577 257520515824 289710580302 311545798864 350489023722 386280773736 428375473438 467318698296 506261923154 579421160604 642563210157 700978047444 759392884731 772561547472 856750946876 934637396592 1012523846308 1158842321208 1285126420314 1401956094888 1518785769462 1713501893752 1927689630471 2025047692616 2278178654193 2317684642416 2570252840628 2784440577347 2803912189776 3037571538924 3427003787504 3855379260942 4050095385232 4556357308386 5140505681256 5568881154694 6075143077848 7710758521884 8353321732041 9112714616772 10281011362512 11137762309388 12150286155696 15421517043768 16706643464082 18225429233544 22275524618776 25059965196123 30843034087536 33413286928164 36450858467088 44551049237552 50119930392246 66826573856328 100239860784492 133653147712656 200479721568984 400959443137968
• Sum of all divisors σ(n): 1326770351262720
• Sum of proper divisors (its aliquot sum) s(n): 925810908124752
• 400959443137968 is an abundant number, because the sum of its proper divisors (925810908124752) is greater than itself. Its abundance is 524851464986784

Bases of 400959443137968

• Binary: 1011011001010101110100101001011010111010110110000₂
• Hexadecimal: 0x16CABA52D75B0
• Base-36: 3Y4M83Z7W0

Squares and roots of 400959443137968

• 400959443137968 squared (400959443137968²) is 160768475041509393882683169024
• 400959443137968 cubed (400959443137968³) is 64461638226783913414995218852543925095903232
• The square root of 400959443137968 is 20023971.7123743461
• The cube root of 400959443137968 is 73739.4932469171

Scales and comparisons

• 400,959,443,137,968 seconds is equal to 12,749,270 years, 2 weeks, 1 day, 13 hours, 52 minutes, 48 seconds.
• To count from 1 to 400,959,443,137,968 would take you about thirty-one million, eight hundred seventy-three thousand, one hundred seventy-five 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 400959443137968 cubic inches would be around 6145 feet tall.

Recreational maths with 400959443137968

• 400959443137968 backwards is 869731344959004
• 400959443137968 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 400959443137968's digits is 72
• More coming soon!