146134840320

Names of 146134840320

• Cardinal: 146134840320 can be written as One hundred forty-six billion, one hundred thirty-four million, eight hundred forty thousand, three hundred twenty.

Scientific notation

• Scientific notation: 1.4613484032 × 10¹¹

Factors of 146134840320

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 1139

Divisors of 146134840320

• Number of divisors d(n): 792
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 49 56 60 61 63 64 70 72 80 84 90 96 98 105 112 120 122 126 128 140 144 147 160 168 180 183 192 196 210 224 240 244 245 252 256 280 288 294 305 315 320 336 360 366 384 392 420 427 441 448 480 488 490 504 512 549 560 576 588 610 630 640 672 720 732 735 768 784 840 854 882 896 915 960 976 980 1008 1024 1061 1098 1120 1152 1176 1220 1260 1280 1281 1344 1440 1464 1470 1536 1568 1680 1708 1764 1792 1830 1920 1952 1960 2016 2122 2135 2196 2205 2240 2304 2352 2440 2520 2560 2562 2688 2745 2880 2928 2940 2989 3072 3136 3183 3360 3416 3528 3584 3660 3840 3843 3904 3920 4032 4244 4270 4392 4410 4480 4608 4704 4880 5040 5120 5124 5305 5376 5490 5760 5856 5880 5978 6272 6366 6405 6720 6832 7056 7168 7320 7427 7680 7686 7808 7840 8064 8488 8540 8784 8820 8960 8967 9216 9408 9549 9760 10080 10248 10610 10752 10980 11520 11712 11760 11956 12544 12732 12810 13440 13664 14112 14640 14854 14945 15360 15372 15616 15680 15915 16128 16976 17080 17568 17640 17920 17934 18816 19098 19215 19520 20160 20496 21220 21504 21960 22281 23040 23424 23520 23912 25088 25464 25620 26880 26901 27328 28224 29280 29708 29890 30744 31232 31360 31830 32256 33952 34160 35136 35280 35840 35868 37135 37632 38196 38430 39040 40320 40992 42440 43920 44562 44835 46080 46848 47040 47745 47824 50176 50928 51240 51989 53760 53802 54656 56448 58560 59416 59780 61488 62464 62720 63660 64512 64721 66843 67904 68320 70272 70560 71736 74270 75264 76392 76860 78080 80640 81984 84880 87840 89124 89670 93696 94080 95490 95648 101856 102480 103978 107520 107604 109312 111405 112896 117120 118832 119560 122976 125440 127320 129442 133686 134505 135808 136640 140544 141120 143472 148540 150528 152784 153720 155967 156160 161280 163968 169760 175680 178248 179340 187392 188160 190980 191296 194163 203712 204960 207956 215208 218624 222810 225792 234240 237664 239120 245952 250880 254640 258884 259945 267372 269010 271616 273280 281088 282240 286944 297080 305568 307440 311934 312320 322560 323605 327936 334215 339520 351360 356496 358680 376320 381960 382592 388326 407424 409920 415912 430416 437248 445620 451584 453047 467901 468480 475328 478240 491904 509280 517768 519890 534744 538020 543232 546560 562176 564480 573888 582489 594160 611136 614880 623868 647210 655872 668430 679040 702720 712992 717360 752640 763920 765184 776652 779835 814848 819840 831824 860832 891240 906094 935802 936960 950656 956480 970815 983808 1018560 1035536 1039780 1069488 1076040 1086464 1093120 1128960 1147776 1164978 1188320 1222272 1229760 1247736 1294420 1311744 1336860 1358080 1359141 1405440 1425984 1434720 1527840 1530368 1553304 1559670 1629696 1639680 1663648 1721664 1782480 1812188 1871604 1901312 1912960 1941630 1967616 2037120 2071072 2079560 2138976 2152080 2186240 2257920 2265235 2295552 2329956 2339505 2376640 2444544 2459520 2495472 2588840 2673720 2716160 2718282 2810880 2851968 2869440 2912445 3055680 3060736 3106608 3119340 3171329 3259392 3279360 3327296 3443328 3564960 3624376 3743208 3802624 3825920 3883260 3935232 4074240 4077423 4142144 4159120 4277952 4304160 4530470 4591104 4659912 4679010 4753280 4889088 4919040 4990944 5177680 5347440 5432320 5436564 5703936 5738880 5824890 6111360 6213216 6238680 6342658 6558720 6654592 6795705 6886656 7129920 7248752 7486416 7605248 7651840 7766520 8148480 8154846 8284288 8318240 8555904 8608320 9060940 9182208 9319824 9358020 9506560 9513987 9778176 9838080 9981888 10355360 10694880 10873128 11407872 11477760 11649780 12222720 12426432 12477360 12685316 13309184 13591410 13773312 14259840 14497504 14972832 15303680 15533040 15856645 16296960 16309692 16568576 16636480 17111808 17216640 18121880 18639648 18716040 19013120 19027974 19676160 19963776 20387115 20710720 21389760 21746256 22815744 22955520 23299560 24445440 24852864 24954720 25370632 26618368 27182820 27546624 28519680 28541961 28995008 29945664 31066080 31713290 32619384 33137152 33272960 34223616 34433280 36243760 37279296 37432080 38026240 38055948 39927552 40774230 41421440 42779520 43492512 45911040 46599120 47569935 48890880 49705728 49909440 50741264 53236736 54365640 57039360 57083922 57990016 59891328 62132160 63426580 65238768 66274304 66545920 68447232 68866560 72487520 74558592 74864160 76111896 79855104 81548460 82842880 85559040 86985024 93198240 95139870 99411456 99818880 101482528 108731280 114078720 114167844 115980032 119782656 124264320 126853160 130477536 133091840 137733120 142709805 144975040 149117184 149728320 152223792 159710208 163096920 165685760 171118080 173970048 186396480 190279740 198822912 199637760 202965056 217462560 228335688 231960064 239565312 248528640 253706320 260955072 266183680 285419610 289950080 298234368 299456640 304447584 326193840 331371520 342236160 347940096 372792960 380559480 399275520 405930112 434925120 456671376 463920128 479130624 497057280 507412640 521910144 570839220 579900160 596468736 598913280 608895168 652387680 695880192 745585920 761118960 798551040 811860224 869850240 913342752 994114560 1014825280 1043820288 1141678440 1159800320 1197826560 1217790336 1304775360 1391760384 1491171840 1522237920 1623720448 1739700480 1826685504 2029650560 2087640576 2283356880 2319600640 2395653120 2435580672 2609550720 2982343680 3044475840 3247440896 3479400960 3653371008 4059301120 4175281152 4566713760 4871161344 5219101440 6088951680 6958801920 7306742016 8118602240 9133427520 9742322688 10438202880 12177903360 14613484032 16237204480 18266855040 20876405760 24355806720 29226968064 36533710080 48711613440 73067420160 146134840320
• Sum of all divisors σ(n): 599243741928
• Sum of proper divisors (its aliquot sum) s(n): 453108901608
• 146134840320 is an abundant number, because the sum of its proper divisors (453108901608) is greater than itself. Its abundance is 306974061288

Bases of 146134840320

• Binary: 10001000000110010100001011010000000000₂
• Hexadecimal: 0x220650B400
• Base-36: 1V4SWSG0

Squares and roots of 146134840320

• 146134840320 squared (146134840320²) is 21355391555351897702400
• 146134840320 cubed (146134840320³) is 3120766734912426012149198880768000
• The square root of 146134840320 is 382275.8693927725
• The cube root of 146134840320 is 5267.2579801461

Scales and comparisons

• 146,134,840,320 seconds is equal to 4,646 years, 33 weeks, 11 hours, 12 minutes.
• To count from 1 to 146,134,840,320 would take you about nine thousand, two hundred ninety-three 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 146134840320 cubic inches would be around 438.9 feet tall.

Recreational maths with 146134840320

• 146134840320 backwards is 023048431641
• 146134840320 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 146134840320's digits is 36
• More coming soon!