146392007424
146,392,007,424 is an even composite number composed of seven prime numbers multiplied together.
146392007424 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 146392007424:
28 × 3 × 132 × 19 × 23 × 29 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 13 × 19 × 23 × 29 × 89)See below for interesting mathematical facts about the number 146392007424 from the Numbermatics database.
Names of 146392007424
- Cardinal: 146392007424 can be written as One hundred forty-six billion, three hundred ninety-two million, seven thousand, four hundred twenty-four.
Scientific notation
- Scientific notation: 1.46392007424 × 1011
Factors of 146392007424
Divisors of 146392007424
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 19 23 24 26 29 32 38 39 46 48 52 57 58 64 69 76 78 87 89 92 96 104 114 116 128 138 152 156 169 174 178 184 192 208 228 232 247 256 267 276 299 304 312 338 348 356 368 377 384 416 437 456 464 494 507 534 551 552 598 608 624 667 676 696 712 736 741 754 768 832 874 897 912 928 988 1014 1068 1102 1104 1131 1157 1196 1216 1248 1311 1334 1352 1392 1424 1472 1482 1508 1653 1664 1691 1748 1794 1824 1856 1976 2001 2028 2047 2136 2204 2208 2262 2314 2392 2432 2496 2581 2622 2668 2704 2784 2848 2944 2964 3016 3211 3306 3328 3382 3471 3496 3588 3648 3712 3887 3952 4002 4056 4094 4272 4408 4416 4524 4628 4784 4864 4901 4992 5073 5162 5244 5336 5408 5568 5681 5696 5888 5928 6032 6141 6422 6612 6764 6942 6992 7163 7176 7296 7424 7743 7774 7904 8004 8112 8188 8544 8671 8816 8832 9048 9256 9568 9633 9802 9984 10146 10324 10488 10672 10816 11136 11362 11392 11661 11856 12064 12282 12673 12844 13224 13528 13884 13984 14326 14352 14592 14703 15041 15486 15548 15808 16008 16224 16376 17043 17088 17342 17632 17664 18096 18512 19136 19266 19604 20292 20648 20976 21344 21489 21632 21983 22272 22724 22784 23322 23712 24128 24564 25346 25688 26013 26448 26611 27056 27768 27968 28652 28704 29406 30082 30972 31096 31616 32016 32448 32752 33553 34086 34176 34684 35264 36192 37024 38019 38272 38532 38893 39208 40584 41296 41952 42688 42978 43264 43966 45123 45448 46644 47424 48256 49039 49128 50692 51376 52026 52896 53222 54112 55536 55936 57304 57408 58812 59363 60164 61944 62192 63232 64032 64896 65504 65949 67106 68172 68352 69368 70528 72384 73853 74048 76038 76544 77064 77786 78416 79833 81168 82592 83904 85376 85956 87932 90246 90896 93119 93288 94848 96512 98078 98256 100659 101384 102752 104052 105792 106444 108224 111072 111872 112723 114608 114816 116679 117624 118726 120328 123888 124384 128064 129792 131008 131898 134212 136344 138736 141056 144768 147117 147706 148096 152076 154128 155572 156832 159666 162336 164749 165184 167808 170752 171912 175864 178089 180492 181792 186238 186576 189696 196156 196512 201318 202768 205504 208104 211584 212888 216448 221559 222144 225446 229216 229632 233358 235248 237452 240656 247776 248768 256128 262016 263796 268424 272688 277472 279357 285779 289536 294234 295412 296192 304152 308256 311144 313664 319332 324672 329498 330368 335616 338169 343824 345943 351728 356178 360984 363584 372476 373152 392312 393024 402636 405536 411008 416208 423168 425776 432896 436189 443118 444288 450892 458432 466716 470496 474904 481312 494247 495552 497536 505609 512256 524032 527592 536848 545376 554944 558714 571558 588468 590824 608304 616512 622288 627328 637507 638664 649344 658996 660736 676338 687648 691886 703456 712356 721968 727168 744952 746304 771719 784624 786048 805272 811072 822016 832416 851552 857337 872378 886236 888576 901784 916864 933432 940992 949808 962624 988494 991104 995072 1011218 1037829 1055184 1073696 1090752 1109888 1117428 1127897 1143116 1176936 1181648 1216608 1233024 1244576 1254656 1275014 1277328 1298688 1308567 1317992 1352676 1375296 1383772 1406912 1424712 1443936 1454336 1489904 1492608 1516827 1543438 1569248 1572096 1610544 1622144 1664832 1703104 1714674 1744756 1772472 1803568 1833728 1866864 1881984 1899616 1912521 1925248 1976988 1982208 2022436 2075658 2110368 2141737 2147392 2181504 2219776 2234856 2255794 2286232 2315157 2353872 2363296 2433216 2466048 2489152 2550028 2554656 2617134 2635984 2705352 2750592 2767544 2813824 2849424 2887872 2979808 2985216 3033654 3086876 3138496 3221088 3244288 3329664 3383691 3406208 3429348 3489512 3544944 3607136 3733728 3763968 3799232 3825042 3850496 3953976 4044872 4151316 4220736 4283474 4294784 4363008 4469712 4511588 4572464 4630314 4707744 4726592 4866432 4978304 5100056 5109312 5234268 5271968 5410704 5501184 5535088 5627648 5698848 5775744 5959616 6067308 6173752 6276992 6425211 6442176 6572917 6659328 6767382 6812416 6858696 6979024 7089888 7214272 7467456 7598464 7650084 7907952 8089744 8287591 8302632 8441472 8566948 8589568 8939424 9023176 9144928 9260628 9415488 9453184 9732864 9956608 10032347 10200112 10218624 10468536 10543936 10821408 11070176 11397696 11551488 11919232 12134616 12347504 12553984 12850422 12884352 13145834 13534764 13717392 13958048 14179776 14428544 14662661 14934912 15196928 15300168 15815904 16179488 16575182 16605264 16882944 17133896 17878848 18046352 18289856 18521256 18830976 18906368 19718751 20064694 20400224 20437248 20937072 21087872 21642816 22140352 22795392 23838464 24269232 24695008 24862773 25700844 25768704 26291668 27069528 27434784 27916096 28359552 28857088 29325322 29869824 30097041 30600336 31631808 32358976 33150364 33210528 34267792 35757696 36092704 36579712 37042512 37661952 39437502 40129388 40800448 41874144 42175744 43285632 43987983 44280704 45590784 48538464 49390016 49725546 51401688 52583336 54139056 54869568 55832192 56719104 58650644 60194082 61200672 63263616 64717952 66300728 66421056 68535584 71515392 72185408 73159424 74085024 78875004 80258776 81600896 83748288 86571264 87975966 88561408 97076928 98780032 99451092 102803376 105166672 108278112 109739136 111664384 117301288 120388164 122401344 126527232 129435904 132601456 132842112 137071168 144370816 148170048 157750008 160517552 163201792 167496576 175951932 190614593 194153856 197560064 198902184 205606752 210333344 216556224 219478272 234602576 240776328 244802688 265202912 265684224 274142336 288741632 296340096 315500016 321035104 334993152 351903864 381229186 388307712 397804368 411213504 420666688 433112448 469205152 481552656 489605376 530405824 548284672 571843779 592680192 631000032 642070208 703807728 762458372 795608736 822427008 841333376 866224896 938410304 963105312 1060811648 1143687558 1262000064 1284140416 1407615456 1524916744 1591217472 1644854016 1682666752 1876820608 1926210624 2121623296 2287375116 2524000128 2568280832 2815230912 3049833488 3182434944 3753641216 3852421248 4574750232 5048000256 5630461824 6099666976 6364869888 7704842496 9149500464 11260923648 12199333952 18299000928 24398667904 36598001856 48797335808 73196003712 146392007424
- Sum of all divisors σ(n): 484771392000
- Sum of proper divisors (its aliquot sum) s(n): 338379384576
- 146392007424 is an abundant number, because the sum of its proper divisors (338379384576) is greater than itself. Its abundance is 191987377152
Bases of 146392007424
- Binary: 100010000101011010010011000011000000002
- Hexadecimal: 0x2215A4C300
- Base-36: 1V920RUO
Squares and roots of 146392007424
- 146392007424 squared (1463920074242) is 21430619837628471115776
- 146392007424 cubed (1463920074243) is 3137271458371028818134449755521024
-
The
square root of 146392007424 is 382612.0847856221 -
The
cube root of 146392007424 is 5270.3459311295
Scales and comparisons
How big is 146392007424?- 146,392,007,424 seconds is equal to 4,654 years, 42 weeks, 1 day, 22 hours, 30 minutes, 24 seconds.
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To count from 1 to 146,392,007,424 would take you about nine thousand, three hundred nine 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 146392007424 cubic inches would be around 439.2 feet tall.
Recreational maths with 146392007424
- 146392007424 backwards is 424700293641
- The number of decimal digits it has is: 12
- The sum of 146392007424's digits is 42
- More coming soon!
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The information we have on file for 146392007424 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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