468429926400

Names of 468429926400

• Cardinal: 468429926400 can be written as Four hundred sixty-eight billion, four hundred twenty-nine million, nine hundred twenty-six thousand, four hundred.

Scientific notation

• Scientific notation: 4.684299264 × 10¹¹

Factors of 468429926400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 5810

Divisors of 468429926400

• Number of divisors d(n): 468
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 89 90 96 100 120 128 144 150 160 178 180 192 200 225 240 256 267 288 300 320 356 360 384 400 445 450 480 512 534 576 600 640 712 720 768 800 801 890 900 960 1024 1068 1152 1200 1280 1335 1424 1440 1536 1600 1602 1780 1800 1920 2048 2136 2225 2304 2400 2560 2670 2848 2880 3072 3200 3204 3560 3600 3840 4005 4096 4272 4450 4608 4800 5120 5340 5696 5711 5760 6144 6400 6408 6675 7120 7200 7680 8010 8544 8900 9216 9600 10240 10680 11392 11422 11520 12288 12800 12816 13350 14240 14400 15360 16020 17088 17133 17800 18432 19200 20025 20480 21360 22784 22844 23040 25600 25632 26700 28480 28555 28800 30720 32040 34176 34266 35600 36864 38400 40050 42720 45568 45688 46080 51200 51264 51399 53400 56960 57110 57600 61440 64080 68352 68532 71200 76800 80100 85440 85665 91136 91376 92160 102400 102528 102798 106800 113920 114220 115200 128160 136704 137064 142400 142775 153600 160200 170880 171330 182272 182752 184320 205056 205596 213600 227840 228440 230400 256320 256995 273408 274128 284800 285550 307200 320400 341760 342660 364544 365504 410112 411192 427200 428325 455680 456880 460800 508279 512640 513990 546816 548256 569600 571100 640800 683520 685320 731008 820224 822384 854400 856650 911360 913760 921600 1016558 1025280 1027980 1093632 1096512 1139200 1142200 1281600 1284975 1367040 1370640 1462016 1524837 1640448 1644768 1708800 1713300 1822720 1827520 2033116 2050560 2055960 2193024 2278400 2284400 2541395 2563200 2569950 2734080 2741280 2924032 3049674 3280896 3289536 3417600 3426600 3655040 4066232 4101120 4111920 4386048 4556800 4568800 4574511 5082790 5126400 5139900 5468160 5482560 5848064 6099348 6579072 6835200 6853200 7310080 7624185 8132464 8202240 8223840 8772096 9113600 9137600 9149022 10165580 10252800 10279800 10965120 11696128 12198696 12706975 13158144 13670400 13706400 14620160 15248370 16264928 16404480 16447680 17544192 18275200 18298044 20331160 20505600 20559600 21930240 22872555 23392256 24397392 25413950 26316288 27340800 27412800 29240320 30496740 32529856 32895360 35088384 36550400 36596088 38120925 40662320 41011200 41119200 43860480 45745110 48794784 50827900 52632576 54825600 58480640 60993480 65059712 65790720 70176768 73100800 73192176 76241850 81324640 82022400 82238400 87720960 91490220 97589568 101655800 105265152 109651200 114362775 116961280 121986960 130119424 131581440 146201600 146384352 152483700 162649280 164476800 175441920 182980440 195179136 203311600 210530304 219302400 228725550 243973920 260238848 263162880 292403200 292768704 304967400 325298560 328953600 350883840 365960880 390358272 406623200 438604800 457451100 487947840 520477696 526325760 584806400 585537408 609934800 650597120 657907200 731921760 780716544 813246400 877209600 914902200 975895680 1040955392 1052651520 1171074816 1219869600 1301194240 1315814400 1463843520 1561433088 1626492800 1754419200 1829804400 1951791360 2081910784 2342149632 2439739200 2602388480 2631628800 2927687040 3122866176 3252985600 3659608800 3903582720 4684299264 4879478400 5204776960 5263257600 5855374080 6245732352 6505971200 7319217600 7807165440 9368598528 9758956800 10409553920 11710748160 13011942400 14638435200 15614330880 18737197056 19517913600 23421496320 26023884800 29276870400 31228661760 39035827200 46842992640 52047769600 58553740800 78071654400 93685985280 117107481600 156143308800 234214963200 468429926400
• Sum of all divisors σ(n): 1696964199840
• Sum of proper divisors (its aliquot sum) s(n): 1228534273440
• 468429926400 is an abundant number, because the sum of its proper divisors (1228534273440) is greater than itself. Its abundance is 760104347040

Bases of 468429926400

• Binary: 110110100010000100110010111000000000000₂
• Hexadecimal: 0x6D10997000
• Base-36: 5Z6Z30G0

Squares and roots of 468429926400

• 468429926400 squared (468429926400²) is 219426595947109416960000
• 468429926400 cubed (468429926400³) is 102785984189707002479319711744000000
• The square root of 468429926400 is 684419.4082578313
• The cube root of 468429926400 is 7766.3127856917

Scales and comparisons

• 468,429,926,400 seconds is equal to 14,894 years, 32 weeks, 2 days, 16 hours.
• To count from 1 to 468,429,926,400 would take you about twenty-nine thousand, seven hundred eighty-nine 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 468429926400 cubic inches would be around 647.2 feet tall.

Recreational maths with 468429926400

• 468429926400 backwards is 004629924864
• The number of decimal digits it has is: 12
• The sum of 468429926400's digits is 54
• More coming soon!