468413301200

Names of 468413301200

• Cardinal: 468413301200 can be written as Four hundred sixty-eight billion, four hundred thirteen million, three hundred one thousand, two hundred.

Scientific notation

• Scientific notation: 4.684133012 × 10¹¹

Factors of 468413301200

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 2208

Divisors of 468413301200

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 4 5 8 10 13 16 17 20 25 26 29 34 40 50 52 58 65 68 80 85 89 100 104 116 130 136 145 170 178 200 208 221 232 260 272 290 325 340 356 377 400 425 442 445 464 493 520 580 650 680 712 725 754 850 884 890 986 1040 1105 1157 1160 1300 1360 1424 1450 1508 1513 1700 1768 1780 1885 1972 2053 2210 2225 2314 2320 2465 2581 2600 2900 3016 3026 3400 3536 3560 3770 3944 4106 4420 4450 4628 4930 5162 5200 5525 5785 5800 6032 6052 6409 6800 7120 7540 7565 7888 8212 8840 8900 9256 9425 9860 10265 10324 11050 11570 11600 12104 12325 12818 12905 15080 15130 16424 17680 17800 18512 18850 19669 19720 20530 20648 22100 23140 24208 24650 25636 25810 26689 28925 30160 30260 32045 32848 33553 34901 35600 37700 37825 39338 39440 41060 41296 43877 44200 46280 49300 51272 51325 51620 53378 57850 59537 60520 64090 64525 67106 69802 75400 75650 78676 82120 87754 88400 92560 98345 98600 102544 102650 103240 106756 115700 119074 121040 128180 129050 133445 134212 139604 150800 151300 157352 160225 164240 167765 174505 175508 182717 196690 197200 205300 206480 213512 219385 231400 238148 256360 258100 266890 268424 279208 297685 302600 314704 320450 335530 349010 351016 365434 393380 410600 427024 438770 453713 462800 476296 491725 512720 516200 533780 536848 558416 570401 595370 605200 640900 667225 671060 698020 702032 730868 773981 786760 821200 838825 872525 877540 907426 913585 952592 983450 1012129 1032400 1067560 1096925 1140802 1190740 1281800 1334450 1342120 1396040 1461736 1488425 1547962 1573520 1677650 1745050 1755080 1814852 1827170 1966900 2024258 2135120 2193850 2268565 2281604 2375321 2381480 2563600 2668900 2684240 2792080 2852005 2923472 2976850 3095924 3106189 3355300 3490100 3510160 3629704 3654340 3869905 3933800 4048516 4387700 4537130 4563208 4567925 4750642 4762960 5060645 5298793 5337800 5704010 5953700 6191848 6212378 6710600 6980200 7259408 7308680 7739810 7867600 8097032 8775400 9074260 9126416 9135850 9501284 10121290 10597586 10675600 11342825 11408020 11876605 11907400 12383696 12424756 13157677 13421200 13960400 14260025 14617360 15479620 15530945 16194064 17550800 18148520 18271700 19002568 19349525 20242580 21195172 22685650 22816040 23753210 23814800 24849512 25303225 26315354 26493965 28520050 30959240 31061890 36297040 36543400 38005136 38699050 40380457 40485160 42390344 45371300 45632080 47506420 49699024 50606450 52630708 52987930 57040100 59383025 61918480 62123780 65788385 68884309 73086800 77398100 77654725 80760914 80970320 84780688 90079481 90742600 95012840 101212900 105261416 105975860 114080200 118766050 124247560 131576770 132469825 137768618 154796200 155309450 161521828 180158962 181485200 190025680 201902285 202425800 210522832 211951720 228160400 237532100 248495120 263153540 264939650 275537236 309592400 310618900 323043656 328941925 344421545 360317924 403804570 404851600 423903440 450397405 475064200 526307080 529879300 551074472 621237800 646087312 657883850 688843090 720635848 807609140 900794810 950128400 1009511425 1052614160 1059758600 1102148944 1171033253 1242475600 1315767700 1377686180 1441271696 1615218280 1722107725 1801589620 2019022850 2119517200 2251987025 2342066506 2631535400 2755372360 3230436560 3444215450 3603179240 4038045700 4503974050 4684133012 5263070800 5510744720 5855166265 6888430900 7206358480 8076091400 9007948100 9368266024 11710332530 13776861800 16152182800 18015896200 18736532048 23420665060 27553723600 29275831325 36031792400 46841330120 58551662650 93682660240 117103325300 234206650600 468413301200
• Sum of all divisors σ(n): 1343037477600
• Sum of proper divisors (its aliquot sum) s(n): 874624176400
• 468413301200 is an abundant number, because the sum of its proper divisors (874624176400) is greater than itself. Its abundance is 406210875200

Bases of 468413301200

• Binary: 110110100001111100110111100000111010000₂
• Hexadecimal: 0x6D0F9BC1D0
• Base-36: 5Z6P6OCW

Squares and roots of 468413301200

• 468413301200 squared (468413301200²) is 219411020741081921440000
• 468413301200 cubed (468413301200³) is 102775040544991853281349457728000000
• The square root of 468413301200 is 684407.2626733297
• The cube root of 468413301200 is 7766.2209056875

Scales and comparisons

• 468,413,301,200 seconds is equal to 14,894 years, 4 weeks, 6 days, 5 hours, 53 minutes, 20 seconds.
• To count from 1 to 468,413,301,200 would take you about twenty-nine thousand, seven hundred eighty-eight 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 468413301200 cubic inches would be around 647.2 feet tall.

Recreational maths with 468413301200

• 468413301200 backwards is 002103314864
• The number of decimal digits it has is: 12
• The sum of 468413301200's digits is 32
• More coming soon!