146147137920

Names of 146147137920

• Cardinal: 146147137920 can be written as One hundred forty-six billion, one hundred forty-seven million, one hundred thirty-seven thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 1.4614713792 × 10¹¹

Factors of 146147137920

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 790

Divisors of 146147137920

• Number of divisors d(n): 1024
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 29 30 32 35 36 40 42 45 48 54 56 58 60 61 63 64 70 72 80 84 87 90 96 105 108 112 116 120 122 126 128 135 140 144 145 160 168 174 180 183 189 192 203 210 216 224 232 240 244 252 261 270 280 288 290 305 315 320 336 348 360 366 378 384 406 420 427 432 435 448 464 480 488 504 522 540 549 560 576 580 609 610 630 640 672 683 696 720 732 756 783 812 840 854 864 870 896 915 928 945 960 976 1008 1015 1044 1080 1098 1120 1152 1160 1218 1220 1260 1281 1305 1344 1366 1392 1440 1464 1512 1566 1624 1647 1680 1708 1728 1740 1769 1827 1830 1856 1890 1920 1952 2016 2030 2049 2088 2135 2160 2196 2240 2320 2436 2440 2520 2562 2610 2688 2732 2745 2784 2880 2928 3024 3045 3132 3248 3294 3360 3415 3416 3456 3480 3538 3654 3660 3712 3780 3843 3904 3915 4032 4060 4098 4176 4270 4320 4392 4480 4640 4781 4872 4880 5040 5124 5220 5307 5464 5481 5490 5568 5760 5856 6048 6090 6147 6264 6405 6496 6588 6720 6830 6832 6960 7076 7308 7320 7560 7686 7808 7830 8064 8120 8196 8235 8352 8540 8640 8784 8845 9135 9280 9562 9744 9760 10080 10245 10248 10440 10614 10928 10962 10980 11136 11529 11712 12096 12180 12294 12383 12528 12810 12992 13176 13440 13660 13664 13920 14152 14343 14616 14640 15120 15372 15660 15921 16240 16392 16470 16704 17080 17280 17568 17690 18270 18441 18560 19124 19215 19488 19520 19807 20160 20490 20496 20880 21228 21856 21924 21960 23058 23424 23905 24192 24360 24588 24766 25056 25620 25984 26352 26535 27320 27328 27405 27840 28304 28686 29232 29280 30240 30735 30744 31320 31842 32480 32784 32940 33408 34160 35136 35380 36540 36882 37149 38248 38430 38976 39040 39614 40320 40980 40992 41663 41760 42456 43029 43712 43848 43920 46116 47763 47810 48720 49176 49532 50112 51240 52704 53070 54640 54656 54810 55680 56608 57372 57645 58464 58560 59421 60480 61470 61488 61915 62640 63684 64960 65568 65880 68320 70272 70760 71715 73080 73764 74298 76496 76860 77952 79228 79605 81960 81984 83326 83520 84912 86058 87424 87696 87840 92205 92232 95526 95620 97440 98352 99035 99064 100224 102480 105408 106140 109280 109620 111447 113216 114744 115290 116928 117120 118842 120960 122940 122976 123830 124989 125280 127368 129087 129920 131136 131760 136640 138649 141520 143430 146160 147528 148596 152992 153720 158456 159210 163920 163968 166652 167040 169824 172116 175392 175680 178263 184410 184464 185745 191052 191240 194880 196704 198070 198128 204960 208315 210816 212280 215145 218560 219240 222894 226432 229488 230580 233856 237684 238815 245880 245952 247660 249978 250560 254736 258174 262272 263520 273280 277298 283040 286860 291641 292320 295056 297105 297192 305984 307440 316912 318420 327840 333304 334341 339648 344232 350784 351360 356526 368820 368928 371490 374967 382104 382480 389760 393408 396140 396256 409920 415947 416630 424560 430290 437120 438480 445788 458976 461160 475368 477630 491760 491904 495320 499956 501120 509472 516348 527040 534789 554596 557235 566080 573720 583282 584640 590112 594210 594384 611968 614880 624945 633824 636840 645435 655680 666608 668682 679296 688464 693245 701568 713052 737640 737856 742980 749934 764208 764960 786816 792280 792512 819840 831894 833260 849120 860580 874923 876960 891315 891576 917952 922320 950736 955260 983520 990640 999912 1018944 1032696 1054080 1069578 1109192 1114470 1124901 1132160 1147440 1166564 1169280 1180224 1188420 1188768 1208227 1229760 1247841 1249890 1267648 1273680 1290870 1311360 1333216 1337364 1376928 1386490 1426104 1458205 1475280 1475712 1485960 1499868 1528416 1529920 1584560 1585024 1663788 1666520 1671705 1698240 1721160 1749846 1753920 1782630 1783152 1835904 1844640 1874835 1901472 1910520 1967040 1981280 1999824 2037888 2065392 2079735 2139156 2218384 2228940 2249802 2294880 2333128 2360448 2376840 2377536 2416454 2459520 2495682 2499780 2535296 2547360 2581740 2624769 2666432 2673945 2674728 2753856 2772980 2852208 2916410 2950560 2971920 2999736 3056832 3059840 3169120 3327576 3333040 3343410 3396480 3442320 3499692 3507840 3565260 3566304 3624681 3689280 3743523 3749670 3802944 3821040 3934080 3962560 3999648 4130784 4159470 4278312 4374615 4436768 4457880 4499604 4589760 4666256 4753680 4755072 4832908 4991364 4999560 5094720 5163480 5249538 5332864 5347890 5349456 5507712 5545960 5624505 5704416 5832820 5901120 5943840 5999472 6041135 6113664 6239205 6338240 6655152 6666080 6686820 6884640 6999384 7130520 7132608 7249362 7378560 7487046 7499340 7605888 7642080 7874307 7925120 7999296 8261568 8318940 8457589 8556624 8749230 8873536 8915760 8999208 9179520 9332512 9507360 9665816 9982728 9999120 10189440 10326960 10499076 10695780 10698912 10874043 11091920 11249010 11408832 11665640 11802240 11887680 11998944 12082270 12478410 12676480 13123845 13310304 13332160 13373640 13769280 13998768 14261040 14265216 14498724 14974092 14998680 15284160 15748614 15998592 16523136 16637880 16915178 17113248 17498460 17747072 17831520 17998416 18123405 18665024 18717615 19014720 19331632 19965456 19998240 20653920 20998152 21391560 21397824 21748086 22183840 22498020 22817664 23331280 23775360 23997888 24164540 24956820 25372767 26247690 26620608 26664320 26747280 27538560 27997536 28522080 28997448 29948184 29997360 30568320 31497228 32622129 33275760 33830356 34226496 34996920 35663040 35996832 36246810 37330048 37435230 38029440 38663264 39371535 39930912 39996480 41307840 41996304 42287945 42783120 42795648 43496172 44367680 44996040 46662560 47995776 48329080 49913640 50745534 52495380 53241216 53494560 54370215 55995072 57044160 57994896 59896368 59994720 62994456 65244258 66551520 67660712 68452992 69993840 71326080 71993664 72493620 74870460 76118301 77326528 78743070 79861824 79992960 82615680 83992608 84575890 85566240 86992344 88735360 89992080 93325120 96658160 99827280 101491068 104990760 106989120 108740430 111990144 114088320 115989792 119792736 119989440 125988912 126863835 130488516 133103040 135321424 139987680 143987328 144987240 149740920 152236602 154653056 157486140 159723648 163110645 167985216 169151780 171132480 173984688 179984160 186650240 193316320 199654560 202982136 209981520 213978240 217480860 228354903 231979584 239585472 239978880 251977824 253727670 260977032 266206080 270642848 279975360 289974480 299481840 304473204 314972280 326221290 335970432 338303560 342264960 347969376 359968320 380591505 386632640 399309120 405964272 419963040 434961720 456709806 463959168 479170944 503955648 507455340 521954064 541285696 559950720 579948960 598963680 608946408 629944560 652442580 676607120 695938752 719936640 761183010 773265280 798618240 811928544 839926080 869923440 913419612 1007911296 1014910680 1043908128 1082571392 1141774515 1159897920 1197927360 1217892816 1259889120 1304885160 1353214240 1391877504 1522366020 1623857088 1679852160 1739846880 1826839224 2029821360 2087816256 2283549030 2319795840 2395854720 2435785632 2519778240 2609770320 2706428480 3044732040 3247714176 3479693760 3653678448 4059642720 4175632512 4567098060 4871571264 5039556480 5219540640 5412856960 6089464080 6959387520 7307356896 8119285440 9134196120 9743142528 10439081280 12178928160 14614713792 16238570880 18268392240 20878162560 24357856320 29229427584 36536784480 48715712640 73073568960 146147137920
• Sum of all divisors σ(n): 622888704000
• Sum of proper divisors (its aliquot sum) s(n): 476741566080
• 146147137920 is an abundant number, because the sum of its proper divisors (476741566080) is greater than itself. Its abundance is 330594428160

Bases of 146147137920

• Binary: 10001000000111000011000101100110000000₂
• Hexadecimal: 0x22070C5980
• Base-36: 1V508DC0

Squares and roots of 146147137920

• 146147137920 squared (146147137920²) is 21358985922207501926400
• 146147137920 cubed (146147137920³) is 3121554661404198174896246489088000
• The square root of 146147137920 is 382291.9537735525
• The cube root of 146147137920 is 5267.4057268315

Scales and comparisons

• 146,147,137,920 seconds is equal to 4,647 years, 1 week, 2 days, 19 hours, 12 minutes.
• To count from 1 to 146,147,137,920 would take you about nine thousand, two hundred ninety-four 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 146147137920 cubic inches would be around 439 feet tall.

Recreational maths with 146147137920

• 146147137920 backwards is 029731741641
• 146147137920 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 146147137920's digits is 45
• More coming soon!