146132380800

Names of 146132380800

• Cardinal: 146132380800 can be written as One hundred forty-six billion, one hundred thirty-two million, three hundred eighty thousand, eight hundred.

Scientific notation

• Scientific notation: 1.461323808 × 10¹¹

Factors of 146132380800

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 328

Divisors of 146132380800

• Number of divisors d(n): 1536
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 27 28 30 32 34 35 36 40 42 45 48 50 51 54 56 60 61 63 64 68 70 72 75 80 84 85 90 96 100 102 105 108 112 119 120 122 126 128 135 136 140 144 150 153 160 168 170 175 180 183 189 192 200 204 210 216 224 225 233 238 240 244 252 255 270 272 280 288 300 305 306 315 320 336 340 350 357 360 366 378 384 400 408 420 425 427 432 448 450 459 466 476 480 488 504 510 525 540 544 549 560 576 595 600 610 612 630 640 672 675 680 699 700 714 720 732 756 765 800 816 840 850 854 864 896 900 915 918 932 945 952 960 976 1008 1020 1037 1050 1071 1080 1088 1098 1120 1152 1165 1190 1200 1220 1224 1260 1275 1281 1344 1350 1360 1398 1400 1428 1440 1464 1512 1525 1530 1575 1600 1631 1632 1647 1680 1700 1708 1728 1785 1800 1830 1836 1864 1890 1904 1920 1952 2016 2040 2074 2097 2100 2135 2142 2160 2176 2196 2240 2295 2330 2380 2400 2440 2448 2520 2550 2562 2688 2700 2720 2745 2796 2800 2856 2880 2928 2975 3024 3050 3060 3111 3150 3200 3213 3262 3264 3294 3360 3400 3416 3456 3495 3570 3600 3660 3672 3728 3780 3808 3825 3843 3904 3961 4032 4080 4148 4194 4200 4270 4284 4320 4392 4480 4575 4590 4660 4725 4760 4800 4880 4893 4896 5040 5100 5124 5185 5355 5400 5440 5490 5592 5600 5712 5760 5825 5856 5950 6048 6100 6120 6222 6291 6300 6405 6426 6524 6528 6588 6720 6800 6832 6990 7140 7200 7259 7320 7344 7456 7560 7616 7650 7686 7808 7922 8064 8155 8160 8235 8296 8388 8400 8540 8568 8640 8784 8925 9150 9180 9320 9333 9450 9520 9600 9760 9786 9792 10080 10200 10248 10370 10485 10675 10710 10800 10880 10980 11184 11200 11424 11475 11529 11650 11712 11883 11900 12096 12200 12240 12444 12582 12600 12810 12852 13048 13176 13440 13600 13664 13725 13980 14213 14280 14400 14518 14640 14679 14688 14912 15120 15232 15300 15372 15555 15844 16065 16310 16320 16470 16592 16776 16800 17080 17136 17280 17475 17568 17850 18300 18360 18640 18666 18900 19040 19215 19520 19572 19584 19805 20160 20400 20496 20740 20970 21350 21420 21600 21777 21960 22368 22400 22848 22950 23058 23300 23424 23766 23800 24192 24400 24465 24480 24888 25164 25200 25620 25704 25925 26096 26352 26775 27200 27328 27450 27727 27960 27999 28426 28560 28800 29036 29280 29358 29376 29824 30240 30600 30744 31110 31455 31688 32025 32130 32620 32640 32940 33184 33552 33600 34160 34272 34950 35136 35649 35700 36295 36600 36720 37280 37332 37800 38080 38430 39040 39144 39610 40320 40775 40800 40992 41175 41480 41940 42639 42700 42840 43200 43554 43920 44037 44736 45696 45900 46116 46600 46665 47532 47600 48800 48930 48960 49776 50328 50400 51240 51408 51850 52192 52425 52704 53550 54400 54656 54900 55454 55920 55998 56852 57120 57645 58072 58560 58716 58752 59415 60480 61200 61488 62220 62910 63376 64050 64260 65240 65331 65880 66368 67104 67200 68320 68544 69900 70272 71065 71298 71400 72590 73200 73395 73440 74560 74664 75600 76160 76860 77775 78288 79220 80325 81550 81600 81984 82350 82960 83181 83880 85278 85400 85680 86400 87108 87840 88074 89472 91800 92232 93200 93330 95064 95200 96075 97600 97860 97920 99025 99491 99552 100656 100800 102480 102816 103700 104384 104850 105408 106947 107100 108885 109800 110908 111840 111996 113704 114240 115290 116144 117120 117432 118830 120960 122325 122400 122976 124440 125820 126752 127917 128100 128520 130480 130662 131760 132736 134208 136640 137088 138635 139800 139995 142130 142596 142800 145180 146400 146790 146880 149120 149328 151200 153720 155550 156576 157275 158440 160650 163100 163200 163968 164700 165920 166362 167760 170556 170800 171360 174216 175680 176148 178245 181475 183600 184464 186400 186660 190128 190400 192150 195200 195720 195993 198050 198982 199104 201312 201600 204960 205632 207400 208768 209700 210816 213195 213894 214200 217770 219600 220185 221816 223680 223992 227408 228480 230580 232288 233325 234864 237660 241621 244650 244800 245952 248880 249543 251640 253504 255834 256200 257040 260960 261324 263520 268416 273280 277270 279600 279990 284260 285192 285600 288225 290360 292800 293580 293760 297075 298473 298656 302400 307440 311100 313152 314550 316880 321300 326200 326655 329400 331840 332724 335520 341112 341600 342720 348432 351360 352296 355325 356490 362950 366975 367200 368928 372800 373320 380256 380800 383751 384300 391440 391986 396100 397964 398208 402624 409920 411264 414800 415905 419400 426390 427788 428400 435540 439200 440370 443632 447360 447984 454816 461160 464576 466650 469728 475320 483242 489300 489600 491904 497455 497760 499086 503280 507008 511668 512400 514080 521920 522648 527040 534735 544425 554540 559200 559980 568520 570384 571200 576450 580720 585600 587160 594150 596946 597312 604800 614880 622200 626304 629100 633760 639585 642600 652400 653310 658800 663680 665448 671040 682224 683200 685440 693175 696864 699975 704592 710650 712980 724863 725900 733950 734400 737856 745600 746640 748629 760512 767502 768600 782880 783972 792200 795928 805248 819840 829600 831810 838800 852780 855576 856800 871080 878400 880740 887264 891225 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7486290 7605120 7675020 7731872 7828800 7839720 7959280 7985376 8186688 8318100 8362368 8456735 8527800 8555760 8698356 8710800 8807400 8872640 8954190 8959680 9096320 9223200 9394560 9506400 9551136 9593775 9664840 9799650 9949100 9955200 9981720 10065600 10148082 10233360 10281600 10452960 10647168 10694700 10745028 10872945 11090800 11199600 11370400 11407680 11597808 11614400 11743200 11938920 11978064 12081050 12280032 12297600 12477150 12543552 12675200 12734848 12791700 13047534 13066200 13308960 13431285 13530776 13644480 13689216 13937280 14091840 14259600 14326704 14497260 14923650 14932800 14972580 15222123 15350040 15463744 15657600 15679440 15918560 15970752 16373376 16636200 16913470 17055600 17111520 17396712 17421600 17614800 17745280 17908380 17919360 18121575 18446400 18715725 19012800 19102272 19187550 19329680 19599300 19898200 19963440 20131200 20296164 20466720 20905920 21389400 21490056 21745890 22181600 22385475 22399200 22740800 22815360 23195616 23228800 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92782464 95511360 95824512 96648400 99817200 101480820 102333600 104380272 104529600 107450280 108246208 108729450 114076800 114613632 115978080 119389200 119780640 121776984 122800320 125435520 126851025 130475340 133089600 134312850 135307760 136444800 139173696 140918400 143267040 144972600 149725800 152221230 153500400 154637440 156794400 159185600 159707520 162369312 163094175 169134700 171115200 171920448 173967120 179083800 182665476 191022720 193296800 199634400 202961640 204667200 208760544 209059200 214900560 216492416 217458900 228331845 231956160 238778400 239561280 243553968 245600640 253702050 260950680 266179200 268625700 270615520 278347392 286534080 289945200 299451600 304442460 307000800 313588800 318371200 324738624 326188350 338269400 342230400 343840896 347934240 358167600 365330952 380553075 386593600 399268800 405923280 409334400 417521088 429801120 434917800 456663690 463912320 477556800 479122560 487107936 507404100 521901360 537251400 541231040 573068160 579890400 598903200 608884920 614001600 627177600 649477248 652376700 676538800 695868480 716335200 730661904 761106150 773187200 798537600 811846560 835042176 859602240 869835600 913327380 955113600 974215872 1014808200 1043802720 1074502800 1082462080 1141659225 1159780800 1197806400 1217769840 1228003200 1304753400 1353077600 1391736960 1432670400 1461323808 1522212300 1623693120 1719204480 1739671200 1826654760 1948431744 2029616400 2087605440 2149005600 2283318450 2319561600 2395612800 2435539680 2609506800 2706155200 2865340800 2922647616 3044424600 3247386240 3479342400 3653309520 4059232800 4175210880 4298011200 4566636900 4871079360 5219013600 5412310400 5845295232 6088849200 6958684800 7306619040 8118465600 8596022400 9133273800 9742158720 10438027200 12177698400 14613238080 16236931200 18266547600 20876054400 24355396800 29226476160 36533095200 48710793600 73066190400 146132380800
• Sum of all divisors σ(n): 660589862400
• Sum of proper divisors (its aliquot sum) s(n): 514457481600
• 146132380800 is an abundant number, because the sum of its proper divisors (514457481600) is greater than itself. Its abundance is 368325100800

Bases of 146132380800

• Binary: 10001000000110001010110010110010000000₂
• Hexadecimal: 0x22062B2C80
• Base-36: 1V4RG2O0

Squares and roots of 146132380800

• 146132380800 squared (146132380800²) is 21354672718276208640000
• 146132380800 cubed (146132380800³) is 3120609165526510040560730112000000
• The square root of 146132380800 is 382272.6524354051
• The cube root of 146132380800 is 5267.2284298143

Scales and comparisons

• 146,132,380,800 seconds is equal to 4,646 years, 29 weeks.
• To count from 1 to 146,132,380,800 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 146132380800 cubic inches would be around 438.9 feet tall.

Recreational maths with 146132380800

• 146132380800 backwards is 008083231641
• 146132380800 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 146132380800's digits is 36
• More coming soon!