42468966400

Names of 42468966400

• Cardinal: 42468966400 can be written as Forty-two billion, four hundred sixty-eight million, nine hundred sixty-six thousand, four hundred.

Scientific notation

• Scientific notation: 4.24689664 × 10¹⁰

Factors of 42468966400

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 37

Divisors of 42468966400

• Number of divisors d(n): 459
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 23 25 28 32 35 40 46 49 50 56 64 70 80 92 98 100 112 115 128 140 160 161 175 184 196 200 224 230 245 256 280 320 322 350 368 392 400 448 460 490 512 529 560 575 640 644 700 736 784 800 805 896 920 980 1024 1058 1120 1127 1150 1225 1280 1288 1400 1472 1568 1600 1610 1792 1840 1960 2048 2116 2240 2254 2300 2450 2560 2576 2645 2800 2944 3136 3200 3220 3584 3680 3703 3920 4025 4096 4232 4480 4508 4600 4900 5120 5152 5290 5600 5635 5888 6272 6400 6440 7168 7360 7406 7840 8050 8192 8464 8960 9016 9200 9800 10240 10304 10580 11200 11270 11776 12544 12800 12880 13225 14336 14720 14812 15680 16100 16384 16928 17920 18032 18400 18515 19600 20480 20608 21160 22400 22540 23552 25088 25600 25760 25921 26450 28175 28672 29440 29624 31360 32200 32768 33856 35840 36064 36800 37030 39200 40960 41216 42320 44800 45080 47104 50176 51200 51520 51842 52900 56350 57344 58880 59248 62720 64400 65536 67712 71680 72128 73600 74060 78400 81920 82432 84640 89600 90160 92575 94208 100352 102400 103040 103684 105800 112700 114688 117760 118496 125440 128800 129605 135424 143360 144256 147200 148120 156800 163840 164864 169280 179200 180320 185150 188416 200704 204800 206080 207368 211600 225400 229376 235520 236992 250880 257600 259210 270848 286720 288512 294400 296240 313600 327680 329728 338560 358400 360640 370300 376832 401408 409600 412160 414736 423200 450800 458752 471040 473984 501760 515200 518420 541696 573440 577024 588800 592480 627200 648025 659456 677120 716800 721280 740600 753664 802816 819200 824320 829472 846400 901600 942080 947968 1003520 1030400 1036840 1083392 1146880 1154048 1177600 1184960 1254400 1296050 1318912 1354240 1433600 1442560 1481200 1507328 1605632 1638400 1648640 1658944 1692800 1803200 1884160 1895936 2007040 2060800 2073680 2166784 2293760 2308096 2355200 2369920 2508800 2592100 2637824 2708480 2867200 2885120 2962400 3211264 3297280 3317888 3385600 3606400 3768320 3791872 4014080 4121600 4147360 4333568 4616192 4710400 4739840 5017600 5184200 5275648 5416960 5734400 5770240 5924800 6594560 6635776 6771200 7212800 7536640 7583744 8028160 8243200 8294720 8667136 9232384 9420800 9479680 10035200 10368400 10551296 10833920 11468800 11540480 11849600 13189120 13271552 13542400 14425600 15167488 16056320 16486400 16589440 17334272 18464768 18841600 18959360 20070400 20736800 21667840 23080960 23699200 26378240 26543104 27084800 28851200 30334976 32972800 33178880 34668544 36929536 37683200 37918720 40140800 41473600 43335680 46161920 47398400 52756480 53086208 54169600 57702400 60669952 65945600 66357760 73859072 75837440 80281600 82947200 86671360 92323840 94796800 106172416 108339200 115404800 121339904 131891200 132715520 151674880 165894400 173342720 184647680 189593600 212344832 216678400 230809600 242679808 263782400 265431040 303349760 331788800 369295360 379187200 424689664 433356800 461619200 530862080 606699520 663577600 758374400 849379328 866713600 923238400 1061724160 1213399040 1327155200 1516748800 1698758656 1846476800 2123448320 2654310400 3033497600 4246896640 5308620800 6066995200 8493793280 10617241600 21234483200 42468966400
• Sum of all divisors σ(n): 128076158721
• Sum of proper divisors (its aliquot sum) s(n): 85607192321
• 42468966400 is an abundant number, because the sum of its proper divisors (85607192321) is greater than itself. Its abundance is 43138225921

Bases of 42468966400

• Binary: 100111100011010110010000000000000000₂
• Hexadecimal: 0x9E3590000
• Base-36: JICXC74

Squares and roots of 42468966400

• 42468966400 squared (42468966400²) is 1803613107084328960000
• 42468966400 cubed (42468966400³) is 76597584443363968568786944000000
• 42468966400 is a perfect square number. Its square root is 206080
• The cube root of 42468966400 is 3488.9164048357

Scales and comparisons

• 42,468,966,400 seconds is equal to 1,350 years, 19 weeks, 5 days, 23 hours, 6 minutes, 40 seconds.
• To count from 1 to 42,468,966,400 would take you about two thousand, seven hundred 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 42468966400 cubic inches would be around 290.7 feet tall.

Recreational maths with 42468966400

• 42468966400 backwards is 00466986424
• 42468966400 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 42468966400's digits is 49
• More coming soon!