147985952400

Names of 147985952400

• Cardinal: 147985952400 can be written as One hundred forty-seven billion, nine hundred eighty-five million, nine hundred fifty-two thousand, four hundred.

Scientific notation

• Scientific notation: 1.479859524 × 10¹¹

Factors of 147985952400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 346

Divisors of 147985952400

• Number of divisors d(n): 1440
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 27 30 31 33 36 39 40 44 45 48 50 52 54 55 60 62 65 66 72 75 78 80 88 90 93 99 100 104 108 110 117 120 121 124 130 132 135 143 144 150 155 156 165 176 180 186 195 198 200 208 216 220 225 234 240 242 248 260 264 270 275 279 281 286 297 300 310 312 325 330 341 351 360 363 372 390 396 400 403 429 432 440 450 465 468 484 495 496 520 528 540 550 558 562 572 585 594 600 605 620 624 650 660 675 682 702 715 720 726 744 775 780 792 806 825 837 843 858 880 900 930 936 968 975 990 1023 1040 1080 1089 1100 1116 1124 1144 1170 1188 1200 1209 1210 1240 1287 1300 1320 1350 1364 1395 1404 1405 1430 1452 1485 1488 1550 1560 1573 1584 1612 1650 1674 1686 1705 1716 1755 1800 1815 1860 1872 1936 1950 1980 2015 2046 2145 2160 2178 2200 2232 2248 2288 2325 2340 2376 2418 2420 2475 2480 2529 2574 2600 2640 2700 2728 2790 2808 2810 2860 2904 2925 2970 3025 3069 3091 3100 3120 3146 3224 3267 3300 3348 3372 3410 3432 3510 3575 3600 3627 3630 3653 3720 3751 3861 3900 3960 4030 4092 4185 4215 4290 4356 4400 4433 4464 4496 4650 4680 4719 4752 4836 4840 4950 5058 5115 5148 5200 5400 5445 5456 5580 5616 5620 5720 5808 5850 5940 6045 6050 6138 6182 6200 6292 6435 6448 6534 6600 6696 6744 6820 6864 6975 7020 7025 7150 7254 7260 7306 7425 7440 7502 7587 7722 7800 7865 7920 8060 8184 8370 8430 8525 8580 8711 8712 8775 8866 9075 9207 9273 9300 9360 9438 9672 9680 9900 10075 10116 10230 10296 10725 10800 10881 10890 10959 11160 11240 11253 11440 11700 11880 12090 12100 12276 12364 12400 12584 12645 12870 13068 13200 13299 13392 13488 13640 13950 14040 14050 14157 14300 14508 14520 14612 14850 15004 15174 15345 15444 15455 15600 15730 16120 16335 16368 16740 16860 17050 17160 17422 17424 17550 17732 18135 18150 18265 18414 18546 18600 18755 18876 19305 19344 19800 20150 20232 20460 20592 20925 21075 21450 21762 21780 21918 22165 22320 22480 22506 23400 23595 23760 24180 24200 24552 24728 25168 25290 25575 25740 26133 26136 26598 27225 27280 27819 27900 28080 28100 28314 28600 29016 29040 29224 29700 30008 30225 30348 30690 30888 30910 31460 32175 32240 32670 32877 33480 33720 33759 34001 34100 34320 34844 35100 35464 36270 36300 36530 36828 37092 37200 37510 37752 37935 38610 39325 39600 39897 40183 40300 40464 40920 41850 42150 42471 42900 43524 43555 43560 43836 44330 45012 46035 46365 46800 47190 48360 48400 48763 49104 49456 50580 51150 51480 52266 52272 53196 54405 54450 54795 55638 55800 56200 56265 56628 57200 58032 58448 59400 60016 60450 60696 61380 61776 61820 62920 63225 64350 65340 65754 66495 66960 67440 67518 68002 68200 69688 70200 70785 70928 72540 72600 73060 73656 74184 75020 75504 75870 76725 77220 77275 78399 78650 79794 80366 80600 81675 81840 83457 83700 84300 84942 85800 87048 87110 87120 87672 88660 90024 90675 91325 92070 92730 93775 94380 95821 96525 96720 97526 98631 101160 101277 102003 102300 102960 104532 106392 108810 108900 109590 110825 111276 111600 112400 112530 113243 113256 117975 118800 119691 120549 120900 121392 122760 123640 125840 126450 128700 130665 130680 131508 132990 135036 136004 136400 139095 139376 140400 141570 145080 145200 146120 146289 147312 148368 150040 151740 153450 154440 154550 156798 157300 159588 160732 161200 163350 164385 166914 167400 168600 168795 169884 170005 171600 174096 174220 175344 177320 180048 181350 182650 184140 185460 187550 188760 189675 191642 193050 195052 197262 199485 200915 202320 202554 204006 204600 209064 212355 212784 217620 217775 217800 219180 221650 222552 225060 226486 226512 230175 231825 235197 235950 239382 241098 241800 243815 245520 247280 252900 257400 261330 261360 263016 265980 270072 272008 272025 273975 278190 281325 283140 287463 290160 292240 292578 300080 303480 306009 306900 308880 309100 313596 314600 319176 321464 326700 328770 332475 333828 334800 337200 337590 339729 339768 340010 348440 353925 354640 361647 362700 365300 368280 370920 375100 377520 379350 383284 386100 390104 391995 394524 398970 401830 405108 408012 409200 417285 418128 424710 435240 435550 435600 438360 438867 442013 443300 445104 450120 452972 460350 463650 470394 471900 478764 479105 482196 483600 487630 493155 505800 506385 510015 514800 522660 526032 531960 540144 544016 544050 547950 556380 562650 566215 566280 574926 585156 598455 602745 606960 612018 613800 618200 627192 629200 638352 642928 653325 653400 657540 664950 667656 675180 679458 679536 680020 695475 696880 707850 723294 725400 730600 731445 736560 741840 750200 758700 766568 772200 780208 783990 789048 797940 803660 810216 816024 821925 834570 843975 849420 850025 862389 870480 871100 876720 877734 884026 886600 900240 905944 918027 920700 927300 940788 943800 957528 958210 964392 975260 986310 997425 1004575 1011600 1012770 1019187 1020030 1045320 1054031 1061775 1063920 1084941 1088100 1095900 1112760 1125300 1132430 1132560 1149852 1170312 1175985 1196910 1205490 1219075 1224036 1227600 1236400 1245673 1254384 1306650 1306800 1315080 1316601 1326039 1329900 1335312 1350360 1358916 1360040 1390950 1415700 1437315 1446588 1450800 1461200 1462890 1500400 1517400 1530045 1533136 1544400 1567980 1578096 1595880 1607320 1620432 1632048 1643850 1669140 1687950 1698645 1698840 1700050 1724778 1742200 1755468 1768052 1773200 1808235 1811888 1836054 1841400 1854600 1881576 1887600 1915056 1916420 1928784 1950520 1959975 1972620 1994850 2009150 2025540 2038374 2040060 2086425 2090640 2108062 2123550 2169882 2176200 2191800 2194335 2210065 2225520 2250600 2264860 2299704 2340624 2351970 2393820 2395525 2410980 2438150 2448072 2465775 2491346 2531925 2550075 2587167 2613300 2630160 2633202 2652078 2659800 2700720 2717832 2720080 2781900 2831075 2831400 2874630 2893176 2925780 2992275 3013725 3034800 3057561 3060090 3135960 3162093 3191760 3214640 3287700 3338280 3375900 3397290 3397680 3400100 3449556 3484400 3510936 3536104 3616470 3657225 3672108 3682800 3709200 3737019 3763152 3832840 3901040 3919950 3945240 3978117 3989700 4018300 4051080 4076748 4080120 4172850 4216124 4247100 4311945 4339764 4352400 4383600 4388670 4420130 4501200 4529720 4590135 4599408 4703940 4787640 4791050 4821960 4876300 4896144 4931550 4982692 5063850 5095935 5100150 5174334 5226600 5266404 5270155 5304156 5319600 5424705 5435664 5563800 5662150 5662800 5749260 5786352 5851560 5879925 5984550 6027450 6115122 6120180 6228365 6271920 6324186 6575400 6583005 6630195 6676560 6751800 6794580 6800200 6899112 7021872 7072208 7186575 7232940 7314450 7344216 7474038 7650225 7665680 7839900 7890480 7956234 7979400 8036600 8102160 8153496 8160240 8345700 8432248 8493225 8494200 8623890 8679528 8777340 8840260 9041175 9059440 9180270 9407880 9486279 9575280 9582100 9643920 9752600 9863100 9965384 10127700 10191870 10200300 10348668 10453200 10532808 10540310 10608312 10849410 10971675 11050325 11127600 11211057 11324300 11498520 11703120 11759850 11934351 11969100 12054900 12230244 12240360 12456730 12648372 12935835 13150800 13166010 13260390 13503600 13589160 13600400 13702403 13798224 14373150 14465880 14628900 14688432 14948076 15287805 15300450 15679800 15810465 15912468 15958800 16073200 16306992 16691400 16864496 16986450 16988400 17247780 17359056 17554680 17680520 18082350 18360540 18685095 18815760 18972558 19164200 19505200 19726200 19890585 19930768 20255400 20383740 20400600 20697336 21065616 21080620 21216624 21559725 21698820 21943350 22100650 22422114 22648600 22950675 22997040 23519700 23868702 23938200 24109800 24460488 24480720 24913460 25296744 25479675 25871670 26332020 26350775 26520780 27123525 27178320 27404806 28458837 28746300 28931760 29257800 29896152 30575610 30600900 31141825 31359600 31620930 31824936 32915025 33150975 33382800 33633171 33972900 34495560 35109360 35361040 36164700 36721080 37370190 37945116 38328400 39452400 39781170 40510800 40767480 40801200 41107209 41394672 42161240 43119450 43397640 43886700 44201300 44844228 45297200 45901350 47039400 47431395 47737404 47876400 48219600 48920976 49826920 50593488 50959350 51743340 52664040 52701550 53041560 54247050 54809612 56055285 56917674 57492600 58515600 59671755 59792304 61151220 61201800 62283650 63241860 63649872 64679175 65830050 66301950 67266342 67945800 68512015 68991120 72329400 73442160 74740380 75890232 76439025 79052325 79562340 81534960 82214418 84322480 86238900 86795280 87773400 88402600 89688456 91802700 93425475 94078800 94862790 95474808 99452925 99653840 101918700 103486680 105328080 105403100 106083120 108494100 109619224 112110570 113835348 114985200 119343510 122302440 122403600 123321627 124567300 126483720 129358350 131660100 132603900 134532684 135891600 137024030 142294185 144658800 149480760 151780464 152878050 158104650 159124680 164428836 168165855 172477800 175546800 176805200 179376912 183605400 186850950 189725580 190949616 198905850 203837400 205536045 206973360 210806200 216988200 219238448 224221140 227670696 237156975 238687020 244604880 246643254 249134600 252967440 258716700 263320200 265207800 269065368 274048060 280276425 284588370 298358775 298961520 305756100 316209300 318249360 328857672 336331710 342560075 344955600 367210800 369964881 373701900 379451160 397811700 407674800 411072090 421612400 433976400 448442280 455341392 474313950 477374040 493286508 498269200 517433400 526640400 530415600 538130736 548096120 560552850 569176740 596717550 611512200 616608135 632418600 657715344 672663420 685120150 711470925 739929762 747403800 758902320 795623400 822144180 840829275 896884560 948627900 954748080 986573016 1027680225 1034866800 1096192240 1121105700 1138353480 1193435100 1223024400 1233216270 1264837200 1345326840 1370240300 1422941850 1479859524 1494807600 1591246800 1644288360 1681658550 1849824405 1897255800 1973146032 2055360450 2242211400 2276706960 2386870200 2466432540 2690653680 2740480600 2845883700 2959719048 3083040675 3288576720 3363317100 3699648810 3794511600 4110720900 4484422800 4773740400 4932865080 5480961200 5691767400 5919438096 6166081350 6726634200 7399297620 8221441800 9249122025 9865730160 11383534800 12332162700 13453268400 14798595240 16442883600 18498244050 24664325400 29597190480 36996488100 49328650800 73992976200 147985952400
• Sum of all divisors σ(n): 645895326720
• Sum of proper divisors (its aliquot sum) s(n): 497909374320
• 147985952400 is an abundant number, because the sum of its proper divisors (497909374320) is greater than itself. Its abundance is 349923421920

Bases of 147985952400

• Binary: 10001001110100101001100110111010010000₂
• Hexadecimal: 0x2274A66E90
• Base-36: 1VZF0JO0

Squares and roots of 147985952400

• 147985952400 squared (147985952400²) is 21899842107735065760000
• 147985952400 cubed (147985952400³) is 3240868991722797113370229824000000
• The square root of 147985952400 is 384689.4233014471
• The cube root of 147985952400 is 5289.4051119975

Scales and comparisons

• 147,985,952,400 seconds is equal to 4,705 years, 25 weeks, 5 days, 9 hours.
• To count from 1 to 147,985,952,400 would take you about nine thousand, four hundred ten 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 147985952400 cubic inches would be around 440.8 feet tall.

Recreational maths with 147985952400

• 147985952400 backwards is 004259589741
• 147985952400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 147985952400's digits is 54
• More coming soon!