434742640640

Names of 434742640640

• Cardinal: 434742640640 can be written as Four hundred thirty-four billion, seven hundred forty-two million, six hundred forty thousand, six hundred forty.

Scientific notation

• Scientific notation: 4.3474264064 × 10¹¹

Factors of 434742640640

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 66

Divisors of 434742640640

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 41 44 55 56 64 70 77 80 82 88 110 112 128 140 154 160 164 176 205 220 224 256 280 287 308 320 328 352 385 410 440 448 451 512 560 574 616 640 656 704 770 820 880 896 902 1024 1120 1148 1232 1280 1312 1408 1435 1540 1640 1681 1760 1792 1804 2048 2240 2255 2296 2464 2560 2624 2816 2870 3080 3157 3280 3362 3520 3584 3608 4096 4480 4510 4592 4928 5120 5248 5632 5740 6160 6314 6560 6724 7040 7168 7216 8192 8405 8960 9020 9184 9856 10240 10496 11264 11480 11767 12320 12628 13120 13448 14080 14336 14432 15785 16384 16810 17920 18040 18368 18491 19712 20480 20992 22528 22960 23534 24640 25256 26240 26896 28160 28672 28864 31570 33620 35840 36080 36736 36982 39424 40960 41984 45056 45920 47068 49280 50512 52480 53792 56320 57344 57728 58835 63140 67240 68921 71680 72160 73472 73964 78848 81920 83968 90112 91840 92455 94136 98560 101024 104960 107584 112640 114688 115456 117670 126280 129437 134480 137842 143360 144320 146944 147928 157696 167936 180224 183680 184910 188272 197120 202048 209920 215168 225280 230912 235340 252560 258874 268960 275684 286720 288640 293888 295856 315392 335872 344605 367360 369820 376544 394240 404096 419840 430336 450560 461824 470680 482447 505120 517748 537920 551368 573440 577280 587776 591712 630784 647185 671744 689210 734720 739640 753088 758131 788480 808192 839680 860672 901120 923648 941360 964894 1010240 1035496 1075840 1102736 1154560 1175552 1183424 1261568 1294370 1378420 1469440 1479280 1506176 1516262 1576960 1616384 1679360 1721344 1847296 1882720 1929788 2020480 2070992 2151680 2205472 2309120 2351104 2366848 2412235 2588740 2756840 2938880 2958560 3012352 3032524 3153920 3232768 3358720 3442688 3694592 3765440 3790655 3859576 4040960 4141984 4303360 4410944 4618240 4702208 4733696 4824470 5177480 5306917 5513680 5877760 5917120 6024704 6065048 6307840 6465536 6885376 7389184 7530880 7581310 7719152 8081920 8283968 8606720 8821888 9236480 9467392 9648940 10354960 10613834 11027360 11755520 11834240 12049408 12130096 12931072 13770752 15061760 15162620 15438304 16163840 16567936 17213440 17643776 18472960 18934784 19297880 20709920 21227668 22054720 23511040 23668480 24098816 24260192 25862144 26534585 27541504 30123520 30325240 30876608 32327680 33135872 34426880 35287552 36945920 37869568 38595760 41419840 42455336 44109440 47336960 48197632 48520384 51724288 53069170 60247040 60650480 61753216 64655360 66271744 68853760 70575104 75739136 77191520 82839680 84910672 88218880 94673920 96395264 97040768 106138340 120494080 121300960 123506432 129310720 132543488 137707520 141150208 151478272 154383040 165679360 169821344 176437760 189347840 192790528 194081536 212276680 240988160 242601920 247012864 258621440 265086976 282300416 302956544 308766080 331358720 339642688 352875520 378695680 388163072 424553360 481976320 485203840 494025728 530173952 564600832 617532160 662717440 679285376 705751040 757391360 776326144 849106720 963952640 970407680 988051456 1060347904 1129201664 1235064320 1325434880 1358570752 1411502080 1514782720 1552652288 1698213440 1940815360 1976102912 2120695808 2470128640 2650869760 2717141504 2823004160 3105304576 3396426880 3881630720 3952205824 4940257280 5301739520 5434283008 5646008320 6210609152 6792853760 7763261440 7904411648 9880514560 10603479040 10868566016 12421218304 13585707520 15526522880 19761029120 21737132032 27171415040 31053045760 39522058240 43474264064 54342830080 62106091520 86948528128 108685660160 217371320320 434742640640
• Sum of all divisors σ(n): 1333320162048
• Sum of proper divisors (its aliquot sum) s(n): 898577521408
• 434742640640 is an abundant number, because the sum of its proper divisors (898577521408) is greater than itself. Its abundance is 463834880768

Bases of 434742640640

• Binary: 110010100111000101011100100000000000000₂
• Hexadecimal: 0x6538AE4000
• Base-36: 5JPUJKE8

Squares and roots of 434742640640

• 434742640640 squared (434742640640²) is 189001163590640179609600
• 434742640640 cubed (434742640640³) is 82166864943427535671561388294144000
• The square root of 434742640640 is 659350.1654204691
• The cube root of 434742640640 is 7575.4902979125

Scales and comparisons

• 434,742,640,640 seconds is equal to 13,823 years, 24 weeks, 3 days, 12 hours, 37 minutes, 20 seconds.
• To count from 1 to 434,742,640,640 would take you about twenty-seven thousand, six hundred forty-six 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 434742640640 cubic inches would be around 631.3 feet tall.

Recreational maths with 434742640640

• 434742640640 backwards is 046046247434
• 434742640640 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 434742640640's digits is 44
• More coming soon!