146393330648400

Names of 146393330648400

• Cardinal: 146393330648400 can be written as One hundred forty-six trillion, three hundred ninety-three billion, three hundred thirty million, six hundred forty-eight thousand, four hundred.

Scientific notation

• Scientific notation: 1.463933306484 × 10¹⁴

Factors of 146393330648400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 906795

Divisors of 146393330648400

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 33 36 40 44 45 48 50 54 55 60 66 72 75 80 88 90 99 100 108 110 120 132 135 144 150 165 176 180 198 200 216 220 225 240 264 270 275 297 300 330 360 396 400 432 440 450 495 528 540 550 594 600 660 675 720 792 825 880 900 990 1080 1100 1188 1200 1320 1350 1361 1485 1584 1650 1800 1980 2160 2200 2376 2475 2640 2700 2722 2970 3300 3600 3960 4083 4400 4752 4950 5400 5444 5940 6600 6805 7425 7920 8166 9900 10800 10888 11880 12249 13200 13610 14850 14971 16332 19800 20415 21776 23760 24498 27220 29700 29942 32664 34025 36747 39600 40830 44913 48996 54440 59400 59884 61245 65328 68050 73494 74855 81660 89826 97992 102075 108880 118800 119768 122490 134739 136100 146988 149710 163320 179652 183735 195984 204150 224565 239536 244980 269478 272200 293976 299420 306225 326640 359304 367470 374275 404217 408300 449130 489960 538956 544400 587952 598840 612450 673695 718608 734940 748550 808434 816600 898260 905413 918675 979920 1077912 1122825 1197680 1224900 1347390 1469880 1497100 1616868 1633200 1796520 1810826 1837350 2021085 2155824 2245650 2449800 2694780 2716239 2939760 2994200 3233736 3368475 3593040 3621652 3674700 4042170 4491300 4527065 4899600 5389560 5432478 5988400 6467472 6736950 7243304 7349400 8084340 8148717 8982600 9054130 9959543 10105425 10779120 10864956 13473900 13581195 14486608 14698800 16168680 16297434 17965200 18108260 19919086 20210850 21729912 22635325 24446151 26947800 27162390 29878629 32337360 32594868 36216520 39838172 40421700 40743585 43459824 45270650 48892302 49797715 53895600 54324780 59757258 65189736 67905975 72433040 79676344 80843400 81487170 89635887 90541300 97784604 99595430 108649560 119514516 122230755 130379472 135811950 149393145 159352688 161686800 162974340 179271774 181082600 195569208 199190860 203717925 217299120 239029032 244461510 248988575 268907661 271623900 298786290 325948680 358543548 362165200 391138416 398381720 407435850 448179435 478058064 488923020 497977150 537815322 543247800 597572580 611153775 651897360 717087096 746965725 796763440 814871700 896358870 977846040 995954300 1075630644 1086495600 1195145160 1222307550 1232267093 1344538305 1434174192 1493931450 1629743400 1792717740 1955692080 1991908600 2151261288 2240897175 2390290320 2444615100 2464534186 2689076610 2987862900 3259486800 3585435480 3696801279 3983817200 4302522576 4481794350 4889230200 4929068372 5378153220 5975725800 6161335465 6722691525 7170870960 7393602558 8963588700 9778460400 9858136744 10756306440 11090403837 11951451600 12322670930 13445383050 13554938023 14787205116 17927177400 18484006395 19716273488 21512612880 22180807674 24645341860 26890766100 27109876046 29574410232 30806677325 33271211511 35854354800 36968012790 40664814069 44361615348 49290683720 53781532200 54219752092 55452019185 59148820464 61613354650 66542423022 67774690115 73936025580 81329628138 88723230696 92420031975 98581367440 107563064400 108439504184 110904038370 121994442207 123226709300 133084846044 135549380230 147872051160 162659256276 166356057555 177446461392 184840063950 203324070345 216879008368 221808076740 243988884414 246453418600 266169692088 271098760460 277260095925 295744102320 325318512552 332712115110 338873450575 365983326621 369680127900 406648140690 443616153480 487977768828 492906837200 532339384176 542197520920 554520191850 609972211035 650637025104 665424230220 677746901150 731966653242 739360255800 813296281380 831780287775 887232306960 975955537656 1016620351725 1084395041840 1109040383700 1219944422070 1330848460440 1355493802300 1463933306484 1478720511600 1626592562760 1663560575550 1829916633105 1951911075312 2033240703450 2218080767400 2439888844140 2661696920880 2710987604600 2927866612968 3049861055175 3253185125520 3327121151100 3659833266210 4066481406900 4436161534800 4879777688280 5421975209200 5855733225936 6099722110350 6654242302200 7319666532420 8132962813800 9149583165525 9759555376560 12199444220700 13308484604400 14639333064840 16265925627600 18299166331050 24398888441400 29278666129680 36598332662100 48797776882800 73196665324200 146393330648400
• Sum of all divisors σ(n): 568838441831040
• Sum of proper divisors (its aliquot sum) s(n): 422445111182640
• 146393330648400 is an abundant number, because the sum of its proper divisors (422445111182640) is greater than itself. Its abundance is 276051780534240

Bases of 146393330648400

• Binary: 100001010010010011011010011110001000010101010000₂
• Hexadecimal: 0x8524DA788550
• Base-36: 1FW461AYC0

Squares and roots of 146393330648400

• 146393330648400 squared (146393330648400²) is 21431007258331770764422560000
• 146393330648400 cubed (146393330648400³) is 3137356531697223273302784249176387904000000
• The square root of 146393330648400 is 12099311.1642109609
• The cube root of 146393330648400 is 52703.6181047851

Scales and comparisons

• 146,393,330,648,400 seconds is equal to 4,654,855 years, 4 weeks, 4 days, 21 hours.
• To count from 1 to 146,393,330,648,400 would take you about eleven million, six hundred thirty-seven thousand, one hundred thirty-seven 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 146393330648400 cubic inches would be around 4392 feet tall.

Recreational maths with 146393330648400

• 146393330648400 backwards is 004846033393641
• 146393330648400 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 146393330648400's digits is 54
• More coming soon!