146044034948400

Names of 146044034948400

• Cardinal: 146044034948400 can be written as One hundred forty-six trillion, forty-four billion, thirty-four million, nine hundred forty-eight thousand, four hundred.

Scientific notation

• Scientific notation: 1.460440349484 × 10¹⁴

Factors of 146044034948400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 639

Divisors of 146044034948400

• Number of divisors d(n): 540
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 136 150 170 200 204 211 240 255 272 300 340 400 401 408 422 425 510 600 633 680 802 816 844 850 1020 1055 1200 1203 1266 1275 1360 1604 1688 1700 2005 2040 2110 2406 2532 2550 3165 3208 3376 3400 3587 4010 4080 4220 4812 5064 5100 5275 6015 6330 6416 6800 6817 7174 8020 8440 9624 10025 10128 10200 10550 10761 12030 12660 13634 14348 15825 16040 16880 17935 19248 20050 20400 20451 21100 21522 24060 25320 27268 28696 30075 31650 32080 34085 35870 40100 40902 42200 43044 44521 48120 50640 53805 54536 57392 60150 63300 68170 71740 80200 81804 84400 84611 86088 89042 89675 96240 102255 107610 109072 120300 126600 133563 136340 143480 160400 160801 163608 169222 170425 172176 178084 179350 204510 215220 222605 240600 253200 253833 267126 269025 272680 286960 321602 327216 338444 340850 356168 358700 409020 423055 430440 445210 481200 482403 507666 511275 534252 538050 545360 643204 667815 676888 681700 712336 717400 756857 804005 818040 846110 860880 890420 964806 1015332 1022550 1068504 1076100 1113025 1269165 1286408 1335630 1353776 1363400 1434800 1438387 1513714 1608010 1636080 1692220 1780840 1929612 2030664 2045100 2115275 2137008 2152200 2226050 2270571 2412015 2538330 2572816 2671260 2726800 2733617 2876774 3027428 3216020 3339075 3384440 3561680 3784285 3859224 4020025 4061328 4090200 4230550 4304400 4315161 4452100 4541142 4824030 5076660 5342520 5467234 5753548 6054856 6345825 6432040 6678150 6768880 7191935 7568570 7718448 8040050 8180400 8200851 8461100 8630322 8904200 9082284 9648060 10153320 10685040 10934468 11352855 11507096 12060075 12109712 12691650 12864080 13356300 13668085 14383870 15137140 16080100 16401702 16922200 17260644 17808400 17852921 18164568 18921425 19296120 20306640 21575805 21868936 22705710 23014192 24120150 25383300 26712600 27336170 28767740 30274280 32160200 32803404 33844400 33929011 34521288 35705842 35959675 36329136 37842850 38592240 41004255 43151610 43737872 45411420 48240300 50766600 53425200 53558763 54672340 56764275 57535480 60548560 64320400 65606808 67858022 68340425 69042576 71411684 71919350 75685700 82008510 86303220 89264605 90822840 96480600 101533200 101787033 107117526 107879025 109344680 113528550 115070960 131213616 135716044 136680850 142823368 143838700 151371400 164017020 169645055 172606440 178529210 181645680 192961200 203574066 205021275 214235052 215758050 218689360 227057100 267793815 271432088 273361700 285646736 287677400 302742800 303499657 328034040 339290110 345212880 357058420 407148132 410042550 428470104 431516100 446323025 454114200 508935165 535587630 542864176 546723400 575354800 576793187 606999314 656068080 678580220 714116840 814296264 820085100 848225275 856940208 863032200 892646050 908228400 910498971 1017870330 1071175260 1093446800 1153586374 1213998628 1338969075 1357160440 1428233680 1517498285 1628592528 1640170200 1696450550 1726064400 1730379561 1785292100 1820997942 2035740660 2142350520 2307172748 2427997256 2544675825 2677938150 2714320880 2883965935 3034996570 3280340400 3392901100 3460759122 3570584200 3641995884 4071481320 4284701040 4552494855 4614345496 4855994512 5089351650 5355876300 5767931870 6069993140 6785802200 6921518244 7141168400 7159021321 7283991768 7587491425 8142962640 8651897805 9104989710 9228690992 10178703300 10711752600 11535863740 12139986280 13571604400 13843036488 14318042642 14419829675 14567983536 15174982850 17303795610 18209979420 20357406600 21423505200 21477063963 22762474275 23071727480 24279972560 27686072976 28636085284 28839659350 30349965700 34607591220 35795106605 36419958840 40714813200 42954127926 43259489025 45524948550 46143454960 57272170568 57679318700 60699931400 69215182440 71590213210 72839917680 85908255852 86518978050 91049897100 107385319815 114544341136 115358637400 121399862800 121703362457 138430364880 143180426420 171816511704 173037956100 178975533025 182099794200 214770639630 230717274800 243406724914 286360852840 343633023408 346075912200 357951066050 364199588400 365110087371 429541279260 486813449828 536926599075 572721705680 608516812285 692151824400 715902132100 730220174742 859082558520 973626899656 1073853198150 1217033624570 1431804264200 1460440349484 1718165117040 1825550436855 1947253799312 2147706396300 2434067249140 2863608528400 2920880698968 3042584061425 3651100873710 4295412792600 4868134498280 5841761397936 6085168122850 7302201747420 8590825585200 9127752184275 9736268996560 12170336245700 14604403494840 18255504368550 24340672491400 29208806989680 36511008737100 48681344982800 73022017474200 146044034948400
• Sum of all divisors σ(n): 498950002140408
• Sum of proper divisors (its aliquot sum) s(n): 352905967192008
• 146044034948400 is an abundant number, because the sum of its proper divisors (352905967192008) is greater than itself. Its abundance is 206861932243608

Bases of 146044034948400

• Binary: 100001001101001110000110110100110001110100110000₂
• Hexadecimal: 0x84D386D31D30
• Base-36: 1FRNPBNVAO

Squares and roots of 146044034948400

• 146044034948400 squared (146044034948400²) is 21328860144009480590662560000
• 146044034948400 cubed (146044034948400³) is 3114952796281256440283654387351411904000000
• The square root of 146044034948400 is 12084868.0153487817
• The cube root of 146044034948400 is 52661.6676325081

Scales and comparisons

• 146,044,034,948,400 seconds is equal to 4,643,748 years, 29 weeks, 3 days, 13 hours, 40 minutes.
• To count from 1 to 146,044,034,948,400 would take you about eleven million, six hundred nine thousand, three hundred seventy-one 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 146044034948400 cubic inches would be around 4388.5 feet tall.

Recreational maths with 146044034948400

• 146044034948400 backwards is 004849430440641
• 146044034948400 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 146044034948400's digits is 51
• More coming soon!