42002048614400

Names of 42002048614400

• Cardinal: 42002048614400 can be written as Forty-two trillion, two billion, forty-eight million, six hundred fourteen thousand, four hundred.

Scientific notation

• Scientific notation: 4.20020486144 × 10¹³

Factors of 42002048614400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 26
• Sum of prime factors: 1754

Divisors of 42002048614400

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 49 50 56 64 70 76 80 95 98 100 112 128 133 140 152 160 175 190 196 200 224 245 256 266 280 304 320 350 380 392 400 448 475 490 512 532 560 608 640 665 700 760 784 800 896 931 950 980 1024 1064 1120 1216 1225 1280 1330 1400 1520 1568 1600 1721 1792 1862 1900 1960 2048 2128 2240 2432 2450 2560 2660 2800 3040 3136 3200 3325 3442 3584 3724 3800 3920 4096 4256 4480 4655 4864 4900 5120 5320 5600 6080 6272 6400 6650 6884 7168 7448 7600 7840 8192 8512 8605 8960 9310 9728 9800 10240 10640 11200 12047 12160 12544 12800 13300 13768 14336 14896 15200 15680 16384 17024 17210 17920 18620 19456 19600 20480 21280 22400 23275 24094 24320 25088 25600 26600 27536 28672 29792 30400 31360 32699 32768 34048 34420 35840 37240 38912 39200 40960 42560 43025 44800 46550 48188 48640 50176 51200 53200 55072 57344 59584 60235 60800 62720 65398 65536 68096 68840 71680 74480 77824 78400 81920 84329 85120 86050 89600 93100 96376 97280 100352 102400 106400 110144 114688 119168 120470 121600 125440 130796 131072 136192 137680 143360 148960 155648 156800 163495 163840 168658 170240 172100 179200 186200 192752 194560 200704 204800 212800 220288 228893 229376 238336 240940 243200 250880 261592 262144 272384 275360 286720 297920 301175 311296 313600 326990 327680 337316 340480 344200 358400 372400 385504 389120 401408 409600 421645 425600 440576 457786 458752 476672 481880 486400 501760 523184 524288 544768 550720 573440 595840 602350 622592 627200 653980 655360 674632 680960 688400 716800 744800 771008 778240 802816 817475 819200 843290 851200 881152 915572 917504 953344 963760 972800 1003520 1046368 1048576 1089536 1101440 1144465 1146880 1191680 1204700 1245184 1254400 1307960 1310720 1349264 1361920 1376800 1433600 1489600 1542016 1556480 1602251 1605632 1634950 1638400 1686580 1702400 1762304 1831144 1835008 1906688 1927520 1945600 2007040 2092736 2108225 2179072 2202880 2288930 2293760 2383360 2409400 2490368 2508800 2615920 2621440 2698528 2723840 2753600 2867200 2979200 3084032 3112960 3204502 3211264 3269900 3276800 3373160 3404800 3524608 3662288 3670016 3813376 3855040 3891200 4014080 4185472 4216450 4358144 4405760 4577860 4587520 4766720 4818800 4980736 5017600 5231840 5242880 5397056 5447680 5507200 5722325 5734400 5958400 6168064 6225920 6409004 6422528 6539800 6553600 6746320 6809600 7049216 7324576 7340032 7626752 7710080 7782400 8011255 8028160 8370944 8432900 8716288 8811520 9155720 9175040 9533440 9637600 9961472 10035200 10463680 10794112 10895360 11014400 11444650 11468800 11916800 12336128 12451840 12818008 12845056 13079600 13107200 13492640 13619200 14098432 14649152 15253504 15420160 15564800 16022510 16056320 16741888 16865800 17432576 17623040 18311440 18350080 19066880 19275200 19922944 20070400 20927360 21588224 21790720 22028800 22889300 22937600 23833600 24672256 24903680 25636016 25690112 26159200 26214400 26985280 27238400 28196864 29298304 30507008 30840320 31129600 32045020 32112640 33483776 33731600 34865152 35246080 36622880 36700160 38133760 38550400 40056275 40140800 41854720 43176448 43581440 44057600 45778600 45875200 47667200 49344512 49807360 51272032 51380224 52318400 53970560 54476800 56393728 58596608 61014016 61680640 62259200 64090040 64225280 66967552 67463200 69730304 70492160 73245760 76267520 77100800 80112550 80281600 83709440 86352896 87162880 88115200 91557200 91750400 95334400 98689024 99614720 102544064 104636800 107941120 108953600 112787456 117193216 122028032 123361280 124518400 128180080 128450560 133935104 134926400 139460608 140984320 146491520 152535040 154201600 160225100 160563200 167418880 172705792 174325760 176230400 183114400 183500800 190668800 197378048 205088128 209273600 215882240 217907200 225574912 234386432 244056064 246722560 249036800 256360160 256901120 267870208 269852800 281968640 292983040 305070080 308403200 320450200 321126400 334837760 345411584 348651520 352460800 366228800 381337600 394756096 410176256 418547200 431764480 435814400 451149824 468772864 488112128 493445120 498073600 512720320 535740416 539705600 563937280 585966080 610140160 616806400 640900400 642252800 669675520 690823168 697303040 704921600 732457600 762675200 789512192 820352512 837094400 863528960 871628800 902299648 937545728 976224256 986890240 1025440640 1071480832 1079411200 1127874560 1171932160 1220280320 1233612800 1281800800 1284505600 1339351040 1381646336 1409843200 1464915200 1525350400 1579024384 1640705024 1674188800 1727057920 1743257600 1804599296 1875091456 1973780480 2050881280 2142961664 2158822400 2255749120 2343864320 2440560640 2467225600 2563601600 2678702080 2763292672 2819686400 2929830400 3050700800 3158048768 3281410048 3348377600 3454115840 3486515200 3750182912 3947560960 4101762560 4285923328 4317644800 4511498240 4687728640 4881121280 4934451200 5127203200 5357404160 5526585344 5639372800 5859660800 6101401600 6316097536 6562820096 6696755200 6908231680 7500365824 7895121920 8203525120 8571846656 8635289600 9022996480 9375457280 9868902400 10254406400 10714808320 11053170688 11278745600 11719321600 12202803200 12632195072 13125640192 13393510400 13816463360 15000731648 15790243840 16407050240 17143693312 17270579200 18750914560 19737804800 20508812800 21429616640 22106341376 22557491200 23438643200 24405606400 26251280384 26787020800 27632926720 30001463296 31580487680 32814100480 34287386624 34541158400 37501829120 39475609600 41017625600 42859233280 44212682752 45114982400 46877286400 52502560768 53574041600 55265853440 60002926592 63160975360 65628200960 69082316800 75003658240 78951219200 82035251200 85718466560 88425365504 93754572800 105005121536 107148083200 110531706880 120005853184 131256401920 138164633600 150007316480 157902438400 164070502400 171436933120 187509145600 210010243072 214296166400 221063413760 240011706368 262512803840 276329267200 300014632960 315804876800 328141004800 375018291200 420020486144 428592332800 442126827520 525025607680 552658534400 600029265920 656282009600 750036582400 840040972288 857184665600 1050051215360 1105317068800 1200058531840 1312564019200 1500073164800 1680081944576 2100102430720 2210634137600 2625128038400 3000146329600 4200204861440 5250256076800 6000292659200 8400409722880 10500512153600 21001024307200 42002048614400
• Sum of all divisors σ(n): 127623130737480
• Sum of proper divisors (its aliquot sum) s(n): 85621082123080
• 42002048614400 is an abundant number, because the sum of its proper divisors (85621082123080) is greater than itself. Its abundance is 43619033508680

Bases of 42002048614400

• Binary: 1001100011001101011101001100000000000000000000₂
• Hexadecimal: 0x26335D300000
• Base-36: EVZH3A8E8

Squares and roots of 42002048614400

• 42002048614400 squared (42002048614400²) is 1764172087806420959887360000
• 42002048614400 cubed (42002048614400³) is 74098841796212838613660007068073984000000
• The square root of 42002048614400 is 6480898.7505129255
• The cube root of 42002048614400 is 34760.8316014411

Scales and comparisons

• 42,002,048,614,400 seconds is equal to 1,335,535 years, 11 weeks, 4 days, 22 hours, 13 minutes, 20 seconds.
• To count from 1 to 42,002,048,614,400 would take you about three million, three hundred thirty-eight thousand, eight hundred thirty-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 42002048614400 cubic inches would be around 2896.7 feet tall.

Recreational maths with 42002048614400

• 42002048614400 backwards is 00441684020024
• 42002048614400 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 42002048614400's digits is 35
• More coming soon!