468713029200

Names of 468713029200

• Cardinal: 468713029200 can be written as Four hundred sixty-eight billion, seven hundred thirteen million, twenty-nine thousand, two hundred.

Scientific notation

• Scientific notation: 4.687130292 × 10¹¹

Factors of 468713029200

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 14928

Divisors of 468713029200

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 25 26 30 38 39 40 48 50 52 57 60 65 75 76 78 80 95 100 104 107 114 120 130 150 152 156 190 195 200 208 214 228 240 247 260 285 300 304 312 321 325 380 390 400 428 456 475 494 520 535 570 600 624 642 650 741 760 780 856 912 950 975 988 1040 1070 1140 1200 1235 1284 1300 1391 1425 1482 1520 1560 1605 1712 1900 1950 1976 2033 2140 2280 2470 2568 2600 2675 2782 2850 2964 3120 3210 3705 3800 3900 3952 4066 4173 4280 4560 4940 5136 5200 5350 5564 5700 5928 6099 6175 6420 6955 7410 7600 7800 8025 8132 8346 8560 9880 10165 10700 11128 11400 11856 12198 12350 12840 13910 14779 14820 15600 16050 16264 16692 18525 19760 20330 20865 21400 22256 22800 24396 24700 25680 26429 27820 29558 29640 30495 32100 32528 33384 34775 37050 40660 41730 42800 44337 48792 49400 50825 52858 55640 59116 59280 60990 64200 66768 69550 73895 74100 79287 81320 83460 88674 97584 98800 101650 104325 105716 111280 118232 121980 128400 132145 139100 147790 148200 152475 158574 162640 166920 177348 192127 203300 208650 211432 221685 236464 243960 264290 278200 280801 295580 296400 304950 317148 333840 354696 369475 384254 396435 406600 417300 422864 443370 487920 528580 556400 561602 576381 591160 609900 634296 660725 709392 738950 768508 792870 813200 834600 842403 886740 960635 1057160 1108425 1123204 1152762 1182320 1219800 1268592 1321450 1404005 1477900 1537016 1581353 1585740 1669200 1684806 1773480 1921270 1982175 2114320 2216850 2246408 2305524 2439600 2642900 2808010 2881905 2955800 3074032 3162706 3171480 3369612 3546960 3650413 3842540 3964350 4212015 4433700 4492816 4611048 4744059 4803175 5285800 5616020 5763810 5911600 6325412 6342960 6739224 7020025 7300826 7685080 7906765 7928700 8424030 8867400 9222096 9488118 9606350 10571600 10951239 11232040 11527620 12650824 13478448 14040050 14409525 14601652 15370160 15813530 15857400 16848060 17734800 18252065 18976236 19212700 20557589 21060075 21902478 22464080 23055240 23720295 25301648 28080100 28819050 29203304 30045707 31627060 31714800 33696120 36504130 37952472 38425400 39533825 41115178 42120150 43804956 46110480 47440590 54756195 56160200 57638100 58406608 60091414 61672767 63254120 67392240 73008260 75904944 76850800 79067650 82230356 84240300 87609912 90137121 91260325 94881180 102787945 109512390 112320400 115276200 118601475 120182828 123345534 126508240 146016520 150228535 158135300 164460712 168480600 175219824 180274242 182520650 189762360 205575890 219024780 230552400 237202950 240365656 246691068 273780975 292033040 300457070 308363835 316270600 328921424 336961200 360548484 365041300 379524720 390594191 411151780 438049560 450685605 474405900 480731312 493382136 513939725 547561950 600914140 616727670 632541200 721096968 730082600 751142675 781188382 822303560 876099120 901371210 948811800 986764272 1027879450 1095123900 1171782573 1201828280 1233455340 1442193936 1460165200 1502285350 1541819175 1562376764 1644607120 1802742420 1897623600 1952970955 2055758900 2190247800 2253428025 2343565146 2403656560 2466910680 3004570700 3083638350 3124753528 3605484840 3905941910 4111517800 4380495600 4506856050 4687130292 4933821360 5858912865 6009141400 6167276700 6249507056 7210969680 7811883820 8223035600 9013712100 9374260584 9764854775 11717825730 12018282800 12334553400 15623767640 18027424200 18748521168 19529709550 23435651460 24669106800 29294564325 31247535280 36054848400 39059419100 46871302920 58589128650 78118838200 93742605840 117178257300 156237676400 234356514600 468713029200
• Sum of all divisors σ(n): 1718065036800
• Sum of proper divisors (its aliquot sum) s(n): 1249352007600
• 468713029200 is an abundant number, because the sum of its proper divisors (1249352007600) is greater than itself. Its abundance is 780638978400

Bases of 468713029200

• Binary: 110110100100001011110010011111001010000₂
• Hexadecimal: 0x6D21793E50
• Base-36: 5ZBNMVYO

Squares and roots of 468713029200

• 468713029200 squared (468713029200²) is 219691903741840052640000
• 468713029200 cubed (468713029200³) is 102972457693552665854781857088000000
• The square root of 468713029200 is 684626.1966942255
• The cube root of 468713029200 is 7767.8770339657

Scales and comparisons

• 468,713,029,200 seconds is equal to 14,903 years, 32 weeks, 3 days, 7 hours, 40 minutes.
• To count from 1 to 468,713,029,200 would take you about twenty-nine thousand, eight hundred seven 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 468713029200 cubic inches would be around 647.3 feet tall.

Recreational maths with 468713029200

• 468713029200 backwards is 002920317864
• The number of decimal digits it has is: 12
• The sum of 468713029200's digits is 42
• More coming soon!