148913380224

Names of 148913380224

• Cardinal: 148913380224 can be written as One hundred forty-eight billion, nine hundred thirteen million, three hundred eighty thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 1.48913380224 × 10¹¹

Factors of 148913380224

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 137

Divisors of 148913380224

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 37 41 42 47 48 49 56 63 64 72 74 82 84 94 96 98 111 112 123 126 128 141 144 147 148 164 168 188 192 196 222 224 246 252 259 282 287 288 294 296 328 329 333 336 369 376 384 392 423 441 444 448 492 504 518 564 574 576 588 592 656 658 666 672 738 752 777 784 846 861 882 888 896 984 987 1008 1036 1128 1148 1152 1176 1184 1312 1316 1332 1344 1369 1476 1504 1517 1554 1568 1692 1722 1739 1764 1776 1813 1927 1968 1974 2009 2016 2072 2256 2296 2303 2331 2352 2368 2583 2624 2632 2664 2688 2738 2952 2961 3008 3034 3108 3136 3384 3444 3478 3528 3552 3626 3854 3936 3948 4018 4032 4107 4144 4512 4551 4592 4606 4662 4704 4736 5166 5217 5248 5264 5328 5439 5476 5781 5904 5922 6016 6027 6068 6216 6272 6768 6888 6909 6956 7056 7104 7252 7708 7872 7896 8036 8064 8214 8288 9024 9102 9184 9212 9324 9408 9583 10332 10434 10528 10619 10656 10878 10952 11562 11808 11844 12054 12136 12173 12321 12432 13489 13536 13653 13776 13818 13912 14112 14208 14504 15416 15651 15744 15792 16072 16317 16428 16576 17343 18048 18081 18204 18368 18424 18648 18816 19166 20664 20727 20868 21056 21238 21312 21756 21904 23124 23616 23688 24108 24272 24346 24642 24864 26978 27072 27306 27552 27636 27824 28224 28749 29008 30832 31302 31584 31857 32144 32634 32856 33152 34686 36162 36408 36519 36736 36848 37296 38332 40467 41328 41454 41736 42112 42476 42624 43512 43808 46248 47232 47376 48216 48544 48692 49284 49728 53956 54144 54612 55104 55272 55648 56129 56448 57498 58016 61664 62604 63168 63714 64288 64343 65268 65712 67081 69372 71299 72324 72816 73038 73696 74333 74592 76664 80934 82656 82908 83472 84952 85211 86247 87024 87616 92496 94423 94752 95571 96432 97088 97384 98568 99456 107912 109224 109557 110208 110544 111296 112258 114996 116032 121401 123328 125208 126336 127428 128576 128686 130536 131424 134162 138744 142598 144648 145632 146076 147392 148666 149184 153328 161868 165312 165816 166944 168387 169904 170422 172494 174048 175232 184992 188846 189504 191142 192864 193029 194176 194768 197136 201243 213897 215824 218448 219114 221088 222592 222999 224516 229992 232064 242802 246656 250416 254856 255633 257152 257372 261072 262848 268324 277488 283269 285196 289296 291264 292152 294784 297332 298368 306656 323736 330624 331632 333888 336774 339808 340844 344988 348096 369984 377692 379008 382284 385728 386058 389536 392903 394272 402486 427794 431648 436896 438228 442176 445998 449032 450401 459984 485604 499093 500832 505161 509712 511266 514744 522144 525696 536648 554976 566538 570392 578592 579087 582528 584304 594664 603729 613312 641691 647472 663264 667776 668997 673548 679616 681688 689976 696192 739968 755384 764568 766899 771456 772116 779072 785806 788544 804972 849807 855588 863296 873792 876456 884352 891996 898064 900802 919968 971208 998186 1001664 1010322 1019424 1022532 1029488 1044288 1073296 1109952 1133076 1140784 1157184 1158174 1168608 1178709 1189328 1207458 1226624 1283382 1294944 1326528 1337994 1347096 1351203 1359232 1363376 1379952 1497279 1510768 1529136 1533798 1544232 1558144 1571612 1577088 1609944 1699614 1711176 1726592 1747584 1752912 1783992 1796128 1801604 1839936 1942416 1996372 2003328 2020644 2038848 2045064 2058976 2088576 2146592 2219904 2266152 2281568 2314368 2316348 2337216 2357418 2378656 2414916 2566764 2589888 2638063 2653056 2675988 2694192 2702406 2726752 2750321 2759904 2994558 3021536 3058272 3067596 3088464 3143224 3152807 3219888 3399228 3422352 3493651 3505824 3536127 3567984 3592256 3603208 3679872 3884832 3992744 4041288 4053609 4077696 4090128 4117952 4293184 4491837 4532304 4563136 4632696 4674432 4714836 4757312 4829832 5133528 5179776 5276126 5351976 5388384 5404812 5453504 5500642 5519808 5989116 6043072 6116544 6135192 6176928 6286448 6305614 6439776 6798456 6844704 6987302 7011648 7072254 7135968 7184512 7206416 7769664 7914189 7985488 8082576 8107218 8180256 8235904 8250963 8586368 8983674 9064608 9126272 9265392 9429672 9458421 9514624 9659664 10267056 10480953 10552252 10703952 10776768 10809624 10907008 11001284 11039616 11978232 12086144 12233088 12270384 12353856 12572896 12611228 12879552 13596912 13689408 13974604 14023296 14144508 14271936 14412832 15539328 15828378 15970976 16165152 16214436 16360512 16501926 17967348 18129216 18466441 18530784 18859344 18916842 19319328 20534112 20961906 21104504 21407904 21553536 21619248 22002568 23742567 23956464 24540768 24707712 24752889 25145792 25222456 25759104 27193824 27378816 27949208 28289016 28375263 28543872 28825664 31442859 31656756 31941952 32330304 32428872 32721024 33003852 35934696 36258432 36932882 37061568 37718688 37833684 38638656 41068224 41923812 42209008 42815808 43238496 44005136 47485134 47912928 49081536 49505778 50291584 50444912 54387648 55399323 55898416 56578032 56750526 57651328 62885718 63313512 63883904 64660608 64857744 66007704 71869392 73865764 74123136 75437376 75667368 77277312 82136448 83847624 84418016 85631616 86476992 88010272 94970268 95825856 98163072 99011556 100889824 108775296 110798646 111796832 113156064 113501052 125771436 126627024 129265087 129715488 132015408 143738784 147731528 150874752 151334736 166197969 167695248 168836032 172953984 176020544 189940536 191651712 198023112 201779648 221597292 223593664 226312128 227002104 251542872 253254048 258530174 259430976 264030816 287477568 295463056 302669472 332395938 335390496 337672064 352041088 379881072 387795261 396046224 403559296 443194584 447187328 452624256 454004208 503085744 506508096 517060348 518861952 528061632 574955136 590926112 605338944 664791876 670780992 759762144 775590522 792092448 886389168 908008416 1006171488 1013016192 1034120696 1056123264 1163385783 1181852224 1210677888 1329583752 1341561984 1519524288 1551181044 1584184896 1772778336 1816016832 2012342976 2068241392 2326771566 2363704448 2659167504 3039048576 3102362088 3168369792 3545556672 3632033664 4024685952 4136482784 4653543132 5318335008 6204724176 7091113344 8272965568 9307086264 10636670016 12409448352 16545931136 18614172528 21273340032 24818896704 37228345056 49637793408 74456690112 148913380224
• Sum of all divisors σ(n): 535973124960
• Sum of proper divisors (its aliquot sum) s(n): 387059744736
• 148913380224 is an abundant number, because the sum of its proper divisors (387059744736) is greater than itself. Its abundance is 238146364512

Bases of 148913380224

• Binary: 10001010101011111011011101101110000000₂
• Hexadecimal: 0x22ABEDDB80
• Base-36: 1WER6JK0

Squares and roots of 148913380224

• 148913380224 squared (148913380224²) is 22175194809737594290176
• 148913380224 cubed (148913380224³) is 3302183216243725716200030075879424
• The square root of 148913380224 is 385892.9647246759
• The cube root of 148913380224 is 5300.4316751045

Scales and comparisons

• 148,913,380,224 seconds is equal to 4,734 years, 51 weeks, 1 day, 11 hours, 50 minutes, 24 seconds.
• To count from 1 to 148,913,380,224 would take you about nine thousand, four hundred sixty-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 148913380224 cubic inches would be around 441.7 feet tall.

Recreational maths with 148913380224

• 148913380224 backwards is 422083319841
• The number of decimal digits it has is: 12
• The sum of 148913380224's digits is 45
• More coming soon!