468769688400

Names of 468769688400

• Cardinal: 468769688400 can be written as Four hundred sixty-eight billion, seven hundred sixty-nine million, six hundred eighty-eight thousand, four hundred.

Scientific notation

• Scientific notation: 4.687696884 × 10¹¹

Factors of 468769688400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 13612

Divisors of 468769688400

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 23 24 25 26 30 39 40 46 48 50 52 60 65 69 75 78 80 92 97 100 104 115 120 130 138 150 156 184 194 195 200 208 230 240 260 276 291 299 300 312 325 345 368 388 390 400 460 485 520 552 575 582 598 600 624 650 690 776 780 897 920 970 975 1040 1104 1150 1164 1196 1200 1261 1300 1380 1455 1495 1552 1560 1725 1794 1840 1940 1950 2231 2300 2328 2392 2425 2522 2600 2760 2910 2990 3120 3450 3588 3783 3880 3900 4462 4485 4600 4656 4784 4850 5044 5200 5520 5820 5980 6305 6693 6900 7176 7275 7475 7566 7760 7800 8924 8970 9200 9700 10088 11155 11640 11960 12610 13386 13469 13800 14352 14550 14950 15132 15600 17848 17940 18915 19400 20176 22310 22425 23280 23920 25220 26772 26938 27600 29003 29100 29900 30264 31525 33465 35696 35880 37830 38800 40407 44620 44850 50440 53544 53876 55775 58006 58200 59800 60528 63050 66930 67345 71760 75660 80814 87009 89240 89700 94575 100880 107088 107752 111550 116012 116400 119600 126100 133860 134690 145015 151320 161628 167325 174018 175097 178480 179400 189150 202035 215504 223100 232024 252200 267720 269380 290030 302640 309787 323256 334650 336725 348036 350194 358800 378300 404070 435045 446200 464048 504400 525291 535440 538760 580060 619574 646512 669300 673450 696072 700388 725075 756600 808140 870090 875485 892400 929361 1010175 1050582 1077520 1160120 1239148 1306493 1338600 1346900 1392144 1400776 1450150 1513200 1548935 1616280 1740180 1750970 1858722 2020350 2101164 2175225 2320240 2478296 2612986 2626455 2677200 2693800 2801552 2900300 3097870 3232560 3480360 3501940 3717444 3919479 4027231 4040700 4202328 4350450 4377425 4646805 4956592 5225972 5252910 5387600 5800600 6195740 6532465 6960720 7003880 7434888 7744675 7838958 8054462 8081400 8404656 8700900 8754850 9293610 10451944 10505820 11601200 12081693 12391480 13064930 13132275 14007760 14869776 15489350 15677916 16108924 16162800 16984409 17401800 17509700 18587220 19597395 20136155 20903888 21011640 23234025 24163386 24782960 26129860 26264550 30049339 30978700 31355832 32217848 32662325 33968818 34803600 35019400 37174440 39194790 40272310 42023280 46468050 48326772 50953227 52259720 52529100 60098678 60408465 61957400 62711664 64435696 65324650 67937636 70038800 74348880 78389580 80544620 84922045 90148017 92936100 96653544 97986975 100680775 101906454 104519440 105058200 120197356 120816930 123914800 130649300 135875272 150246695 156779160 161089240 169844090 180296034 185872200 193307088 195973950 201361550 203812908 210116400 240394712 241633860 254766135 261298600 271750544 300493390 302042325 313558320 322178480 339688180 360592068 371744400 390641407 391947900 402723100 407625816 424610225 450740085 480789424 483267720 509532270 522597200 600986780 604084650 679376360 721184136 751233475 781282814 783895800 805446200 815251632 849220450 901480170 966535440 1019064540 1171924221 1201973560 1208169300 1273830675 1358752720 1442368272 1502466950 1562565628 1567791600 1610892400 1698440900 1802960340 1953207035 2038129080 2253700425 2343848442 2403947120 2416338600 2547661350 3004933900 3125131256 3396881800 3605920680 3906414070 4076258160 4507400850 4687696884 4832677200 5095322700 5859621105 6009867800 6250262512 6793763600 7211841360 7812828140 9014801700 9375393768 9766035175 10190645400 11719242210 12019735600 15625656280 18029603400 18750787536 19532070350 20381290800 23438484420 29298105525 31251312560 36059206800 39064140700 46876968840 58596211050 78128281400 93753937680 117192422100 156256562800 234384844200 468769688400
• Sum of all divisors σ(n): 1704968375040
• Sum of proper divisors (its aliquot sum) s(n): 1236198686640
• 468769688400 is an abundant number, because the sum of its proper divisors (1236198686640) is greater than itself. Its abundance is 767428998240

Bases of 468769688400

• Binary: 110110100100100110110011100101101010000₂
• Hexadecimal: 0x6D24D9CB50
• Base-36: 5ZCLDAHC

Squares and roots of 468769688400

• 468769688400 squared (468769688400²) is 219745020762633094560000
• 468769688400 cubed (468769688400³) is 103009804910351046100418935104000000
• The square root of 468769688400 is 684667.5751048825
• The cube root of 468769688400 is 7768.1900214713

Scales and comparisons

• 468,769,688,400 seconds is equal to 14,905 years, 22 weeks, 1 day, 2 hours, 20 minutes.
• To count from 1 to 468,769,688,400 would take you about twenty-nine thousand, eight hundred ten 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 468769688400 cubic inches would be around 647.3 feet tall.

Recreational maths with 468769688400

• 468769688400 backwards is 004886967864
• The number of decimal digits it has is: 12
• The sum of 468769688400's digits is 66
• More coming soon!