450314134400

Names of 450314134400

• Cardinal: 450314134400 can be written as Four hundred fifty billion, three hundred fourteen million, one hundred thirty-four thousand, four hundred.

Scientific notation

• Scientific notation: 4.503141344 × 10¹¹

Factors of 450314134400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 12121

Divisors of 450314134400

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 25 26 29 31 32 40 50 52 58 62 64 65 80 100 104 116 124 128 130 145 155 160 200 208 232 248 260 290 310 320 325 377 400 403 416 464 496 520 580 620 640 650 725 754 775 800 806 832 899 928 992 1040 1160 1240 1300 1450 1508 1550 1600 1612 1664 1798 1856 1885 1984 2015 2080 2320 2480 2600 2900 3016 3100 3200 3224 3596 3712 3770 3968 4030 4160 4495 4640 4960 5200 5800 6032 6200 6448 7192 7540 8060 8320 8990 9280 9425 9920 10075 10400 11600 11687 12041 12064 12400 12896 14384 15080 16120 17980 18560 18850 19840 20150 20800 22475 23200 23374 24082 24128 24800 25792 28768 30160 32240 35960 37700 40300 41600 44950 46400 46748 48164 48256 49600 51584 57536 58435 60205 60320 64480 71920 75400 80600 89900 92800 93496 96328 99200 115072 116870 120410 120640 128960 143840 150800 156533 161200 179800 186992 192656 233740 240820 241280 257920 287680 292175 301025 301600 313066 322400 349189 359600 373271 373984 385312 467480 481640 575360 584350 602050 603200 626132 644800 698378 719200 746542 747968 770624 782665 934960 963280 1168700 1204100 1206400 1252264 1289600 1396756 1438400 1493084 1495936 1541248 1565330 1745945 1866355 1869920 1926560 2337400 2408200 2504528 2793512 2876800 2986168 3130660 3491890 3732710 3739840 3853120 3913325 4539457 4674800 4816400 4852523 5009056 5587024 5972336 6261320 6983780 7465420 7479680 7706240 7826650 8729725 9078914 9331775 9349600 9632800 9705046 10018112 10824859 11174048 11944672 12522640 13967560 14930840 15653300 17459450 18157828 18663550 18699200 19265600 19410092 20036224 21649718 22348096 22697285 23889344 24262615 25045280 27935120 29861680 31306600 34918900 36315656 37327100 37398400 38531200 38820184 43299436 44696192 45394570 47778688 48525230 50090560 54124295 55870240 59723360 62613200 69837800 72631312 74654200 77640368 86598872 90789140 97050460 100181120 108248590 111740480 113486425 119446720 121313075 125226400 139675600 140723167 145262624 149308400 155280736 173197744 181578280 194100920 216497180 223480960 226972850 238893440 242626150 250452800 270621475 279351200 281446334 290525248 298616800 310561472 346395488 363156560 388201840 432994360 453945700 485252300 500905600 541242950 558702400 562892668 581050496 597233600 621122944 692790976 703615835 726313120 776403680 865988720 907891400 970504600 1082485900 1117404800 1125785336 1194467200 1385581952 1407231670 1452626240 1552807360 1731977440 1815782800 1941009200 2164971800 2251570672 2814463340 2905252480 3105614720 3463954880 3518079175 3631565600 3882018400 4329943600 4503141344 5628926680 6927909760 7036158350 7263131200 7764036800 8659887200 9006282688 11257853360 14072316700 14526262400 15528073600 17319774400 18012565376 22515706720 28144633400 34639548800 45031413440 56289266800 90062826880 112578533600 225157067200 450314134400
• Sum of all divisors σ(n): 1279380614400
• Sum of proper divisors (its aliquot sum) s(n): 829066480000
• 450314134400 is an abundant number, because the sum of its proper divisors (829066480000) is greater than itself. Its abundance is 378752345600

Bases of 450314134400

• Binary: 110100011011000110100000110001110000000₂
• Hexadecimal: 0x68D8D06380
• Base-36: 5QVDEPVK

Squares and roots of 450314134400

• 450314134400 squared (450314134400²) is 202782819640421263360000
• 450314134400 cubed (450314134400³) is 91315969897567620461312835584000000
• The square root of 450314134400 is 671054.4943594373
• The cube root of 450314134400 is 7664.8770510529

Scales and comparisons

• 450,314,134,400 seconds is equal to 14,318 years, 31 weeks, 3 hours, 33 minutes, 20 seconds.
• To count from 1 to 450,314,134,400 would take you about twenty-eight thousand, six hundred thirty-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 450314134400 cubic inches would be around 638.7 feet tall.

Recreational maths with 450314134400

• 450314134400 backwards is 004431413054
• 450314134400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 450314134400's digits is 29
• More coming soon!