29718768193920

Names of 29718768193920

• Cardinal: 29718768193920 can be written as Twenty-nine trillion, seven hundred eighteen billion, seven hundred sixty-eight million, one hundred ninety-three thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 2.971876819392 × 10¹³

Factors of 29718768193920

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 525067

Divisors of 29718768193920

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 64 65 72 78 80 90 96 104 117 120 128 130 144 156 160 180 192 195 208 234 240 260 288 312 320 360 384 390 416 468 480 520 576 585 624 640 720 757 780 832 936 960 1040 1152 1170 1248 1440 1514 1560 1664 1872 1920 2080 2271 2340 2496 2880 3028 3120 3744 3785 4160 4542 4680 4992 5760 6056 6240 6813 7488 7570 8320 9084 9360 9841 11355 12112 12480 13626 14976 15140 18168 18720 19682 22710 24224 24960 27252 29523 30280 34065 36336 37440 39364 45420 48448 49205 54504 59046 60560 68130 72672 74880 78728 88569 90840 96896 98410 109008 118092 121120 136260 145344 147615 157456 177138 181680 196820 218016 236184 242240 272520 290688 295230 314912 354276 363360 393640 436032 442845 472368 484480 524287 545040 590460 629824 708552 726720 787280 872064 885690 944736 1048574 1090080 1180920 1259648 1417104 1453440 1572861 1574560 1771380 1889472 2097148 2180160 2361840 2621435 2834208 3145722 3149120 3542760 3778944 4194296 4360320 4718583 4723680 5242870 5668416 6291444 6298240 6815731 7085520 7864305 8388592 9437166 9447360 10485740 11336832 12582888 13631462 14171040 15728610 16777184 18874332 18894720 20447193 20971480 23592915 25165776 27262924 28342080 31457220 33554368 34078655 37748664 40894386 41942960 47185830 50331552 54525848 56684160 61341579 62914440 67108736 68157310 75497328 81788772 83885920 94371660 100663104 102235965 109051696 122683158 125828880 136314620 150994656 163577544 167771840 188743320 201326208 204471930 218103392 245366316 251657760 272629240 301989312 306707895 327155088 335543680 377486640 396885259 408943860 436206784 490732632 503315520 545258480 603978624 613415790 654310176 754973280 793770518 817887720 872413568 981465264 1006631040 1090516960 1190655777 1226831580 1308620352 1509946560 1587541036 1635775440 1962930528 1984426295 2181033920 2381311554 2453663160 2617240704 3019893120 3175082072 3271550880 3571967331 3925861056 3968852590 4362067840 4762623108 4907326320 5159508367 5953278885 6350164144 6543101760 7143934662 7851722112 7937705180 9525246216 9814652640 10319016734 11906557770 12700328288 13086203520 14287869324 15478525101 15875410360 17859836655 19050492432 19629305280 20638033468 23813115540 25400656576 25797541835 28575738648 30957050202 31750820720 35719673310 38100984864 39258610560 41276066936 46435575303 47626231080 50801313152 51595083670 57151477296 61914100404 63501641440 71439346620 76201969728 77392625505 82552133872 92871150606 95252462160 103190167340 114302954592 123828200808 127003282880 142878693240 152403939456 154785251010 165104267744 185742301212 190504924320 206380334680 228605909184 232177876515 247656401616 254006565760 285757386480 309570502020 330208535488 371484602424 381009848640 412760669360 457211818368 464355753030 495312803232 571514772960 619141004040 660417070976 742969204848 762019697280 825521338720 928711506060 990625606464 1143029545920 1238282008080 1485938409696 1651042677440 1857423012120 1981251212928 2286059091840 2476564016160 2971876819392 3302085354880 3714846024240 4953128032320 5943753638784 7429692048480 9906256064640 14859384096960 29718768193920
• Sum of all divisors σ(n): 110662873251840
• Sum of proper divisors (its aliquot sum) s(n): 80944105057920
• 29718768193920 is an abundant number, because the sum of its proper divisors (80944105057920) is greater than itself. Its abundance is 51225336864000

Bases of 29718768193920

• Binary: 110110000011101110000100111110001000110000000₂
• Hexadecimal: 0x1B07709F1180
• Base-36: AJ8M39LS0

Squares and roots of 29718768193920

• 29718768193920 squared (29718768193920²) is 883205182963951018724966400
• 29718768193920 cubed (29718768193920³) is 26247770100174361769220313800540684288000
• The square root of 29718768193920 is 5451492.2905494419
• The cube root of 29718768193920 is 30974.9253336691

Scales and comparisons

• 29,718,768,193,920 seconds is equal to 944,964 years, 46 weeks, 6 days, 11 hours, 12 minutes.
• To count from 1 to 29,718,768,193,920 would take you about two million, three hundred sixty-two thousand, four hundred twelve 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 29718768193920 cubic inches would be around 2581.2 feet tall.

Recreational maths with 29718768193920

• 29718768193920 backwards is 02939186781792
• 29718768193920 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 29718768193920's digits is 72
• More coming soon!