148382724672

Names of 148382724672

• Cardinal: 148382724672 can be written as One hundred forty-eight billion, three hundred eighty-two million, seven hundred twenty-four thousand, six hundred seventy-two.

Scientific notation

• Scientific notation: 1.48382724672 × 10¹¹

Factors of 148382724672

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 274

Divisors of 148382724672

• Number of divisors d(n): 1008
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 19 21 24 26 28 32 36 38 39 42 48 52 56 57 63 64 72 73 76 78 84 91 96 104 112 114 117 126 133 144 146 152 156 157 168 169 171 182 192 208 219 224 228 234 247 252 266 273 288 292 304 312 314 336 338 342 364 399 416 438 448 456 468 471 494 504 507 511 532 546 576 584 608 624 628 657 672 676 684 728 741 798 819 832 876 912 936 942 949 988 1008 1014 1022 1064 1092 1099 1168 1183 1197 1216 1248 1256 1314 1344 1352 1368 1387 1413 1456 1482 1521 1533 1596 1638 1729 1752 1824 1872 1884 1898 1976 2016 2028 2041 2044 2128 2184 2198 2223 2336 2366 2394 2496 2512 2628 2704 2736 2774 2826 2847 2912 2964 2983 3042 3066 3192 3211 3276 3297 3458 3504 3549 3648 3744 3768 3796 3952 4032 4056 4082 4088 4161 4256 4368 4396 4446 4599 4672 4732 4788 5024 5187 5256 5408 5472 5548 5652 5694 5824 5928 5966 6084 6123 6132 6384 6422 6552 6594 6643 6916 7008 7098 7488 7536 7592 7904 8112 8164 8176 8322 8512 8541 8736 8792 8892 8949 9198 9464 9576 9633 9709 9891 10048 10374 10512 10647 10816 10944 11096 11304 11388 11461 11856 11932 12168 12246 12264 12337 12483 12768 12844 13104 13188 13286 13832 14016 14196 14287 15072 15184 15561 15808 16224 16328 16352 16644 17082 17472 17584 17784 17898 18031 18369 18396 18928 19152 19266 19418 19782 19929 20748 20881 21024 21294 22192 22477 22608 22776 22922 23712 23864 24336 24492 24528 24674 24966 25536 25688 26208 26376 26533 26572 26847 27664 28392 28574 28899 29127 30144 30368 31122 32448 32656 32704 33288 34164 34383 35168 35568 35796 36062 36738 36792 37011 37856 38304 38532 38779 38836 39564 39858 41496 41762 42048 42588 42861 44384 44954 45216 45552 45844 47424 47728 48672 48984 49056 49348 49932 51376 52416 52752 53066 53144 53694 54093 55328 56784 57148 57798 58254 59787 60736 62244 62643 65312 66576 67431 68328 68766 70336 71136 71592 72124 73476 73584 74022 75712 76608 77064 77558 77672 79128 79599 79716 80227 82992 83524 85176 85722 86359 87381 88768 89908 90432 91104 91688 95456 97344 97968 98112 98696 99864 102752 103149 105504 106132 106288 107388 108186 110656 111033 113568 114296 115596 116337 116508 119574 124488 125286 126217 128583 130624 133152 134862 136656 137532 142272 143184 144248 146952 147168 148044 148993 154128 155116 155344 158256 159198 159432 160454 162279 165984 167048 170352 171444 172718 174762 179816 182208 183376 185731 187929 190912 195936 197392 199728 202293 205504 206298 211008 212264 212576 214776 216372 217759 222066 227136 228592 231192 232674 233016 234403 238797 239148 240681 248976 250572 252434 257166 259077 266304 269724 271453 273312 275064 286368 288496 293904 294336 296088 297986 308256 310232 310688 316512 318396 318864 320908 324558 331968 334096 340704 342888 345436 349011 349524 359632 366752 371462 375858 378651 391872 394784 399456 404586 412596 424528 425152 429552 432744 435518 444132 446979 457184 462384 465348 466032 468806 477594 478296 481362 497952 501144 504127 504868 514332 518154 539448 542906 546624 550128 557193 572736 576992 587808 592176 595972 616512 620464 621376 633024 636792 637728 641816 649116 653277 668192 681408 685776 690872 698022 699048 703209 719264 722043 733504 742924 751716 757302 777231 789568 798912 809172 814359 825192 849056 859104 865488 871036 888264 893958 914368 924768 930696 932064 937612 955188 956592 962724 995904 1002288 1008254 1009736 1028664 1036308 1042951 1078896 1085812 1100256 1114386 1135953 1153984 1175616 1184352 1191944 1240928 1273584 1275456 1283632 1298232 1306554 1336384 1340937 1371552 1381744 1396044 1398096 1406418 1438528 1444086 1485848 1503432 1512381 1514604 1524313 1554462 1618344 1628718 1640821 1650384 1671579 1698112 1718208 1730976 1742072 1776528 1787916 1849536 1861392 1864128 1875224 1910376 1913184 1925448 1936909 1959831 2004576 2016508 2019472 2057328 2072616 2085902 2109627 2157792 2171624 2200512 2228772 2271906 2368704 2383888 2443077 2481856 2547168 2567264 2596464 2613108 2681874 2743104 2763488 2792088 2796192 2812836 2830867 2888172 2971696 3006864 3024762 3029208 3048626 3108924 3128853 3236688 3257436 3281642 3300768 3343158 3461952 3484144 3528889 3553056 3575832 3722784 3750448 3820752 3826368 3850896 3873818 3919662 4009152 4033016 4038944 4114656 4145232 4171804 4219254 4315584 4343248 4457544 4537143 4543812 4572939 4767776 4886154 4922463 5094336 5134528 5192928 5226216 5363748 5526976 5584176 5592384 5625672 5661734 5776344 5810727 5943392 6013728 6049524 6058416 6097252 6217848 6257706 6473376 6514872 6563284 6601536 6686316 6968288 7057778 7106112 7151664 7445568 7500896 7641504 7701792 7747636 7839324 8066032 8077888 8229312 8290464 8343608 8438508 8492601 8686496 8915088 9074286 9087624 9145878 9386559 9535552 9772308 9844926 10385856 10452432 10586667 10727496 11168352 11251344 11323468 11552688 11621454 11886784 12027456 12099048 12116832 12194504 12435696 12515412 12946752 13029744 13126568 13372632 13558363 13718817 13936576 14115556 14303328 14767389 15001792 15283008 15403584 15495272 15678648 16132064 16580928 16687216 16877016 16985202 17372992 17432181 17830176 18148572 18175248 18291756 18773118 19544616 19689852 19816069 20904864 21173334 21454992 22336704 22502688 22646936 23105376 23242908 24198096 24233664 24389008 24871392 25030824 25477803 26059488 26253136 26745264 27116726 27437634 28231112 28606656 29534778 30990544 31357296 31760001 32264128 33374432 33754032 33970404 34864362 35660352 36297144 36350496 36583512 36801271 37546236 39089232 39379704 39632138 40675089 41809728 42346668 42909984 45005376 45293872 46210752 46485816 48396192 48778016 49742784 50061648 50955606 52118976 52506272 53490528 54233452 54875268 56462224 59069556 59448207 61981088 62714592 63520002 66748864 67508064 67940808 69728724 72594288 72700992 73167024 73602542 75092472 78178464 78759408 79264276 81350178 84693336 85819968 90587744 92971632 96792384 97556032 100123296 101911212 105012544 106981056 108466904 109750536 110403813 112924448 118139112 118896414 122025267 123962176 125429184 127040004 135016128 135881616 139457448 145188576 146334048 147205084 150184944 156356928 157518816 158528552 162700356 169386672 178344621 181175488 185943264 200246592 203822424 216933808 219501072 220807626 225848896 236278224 237792828 244050534 254080008 257608897 271763232 278914896 290377152 292668096 294410168 300369888 315037632 317057104 325400712 331211439 338773344 356689242 371886528 407644848 433867616 439002144 441615252 472556448 475585656 488101068 508160016 515217794 543526464 557829792 588820336 600739776 634114208 650801424 662422878 677546688 713378484 772826691 815289696 867735232 878004288 883230504 945112896 951171312 976202136 1016320032 1030435588 1115659584 1177640672 1268228416 1301602848 1324845756 1426756968 1545653382 1630579392 1766461008 1902342624 1952404272 2032640064 2060871176 2318480073 2355281344 2603205696 2649691512 2853513936 3091306764 3532922016 3804685248 3904808544 4121742352 4636960146 5299383024 5707027872 6182613528 7065844032 7809617088 8243484704 9273920292 10598766048 11414055744 12365227056 16486969408 18547840584 21197532096 24730454112 37095681168 49460908224 74191362336 148382724672
• Sum of all divisors σ(n): 565206245760
• Sum of proper divisors (its aliquot sum) s(n): 416823521088
• 148382724672 is an abundant number, because the sum of its proper divisors (416823521088) is greater than itself. Its abundance is 268440796416

Bases of 148382724672

• Binary: 10001010001100010011001011001001000000₂
• Hexadecimal: 0x228C4CB240
• Base-36: 1W5Z8R40

Squares and roots of 148382724672

• 148382724672 squared (148382724672²) is 22017432981086557507584
• 148382724672 cubed (148382724672³) is 3267006696016778846048131223912448
• The square root of 148382724672 is 385204.7827740461
• The cube root of 148382724672 is 5294.1281198377

Scales and comparisons

• 148,382,724,672 seconds is equal to 4,718 years, 5 weeks, 5 days, 15 hours, 31 minutes, 12 seconds.
• To count from 1 to 148,382,724,672 would take you about nine thousand, four hundred thirty-six 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 148382724672 cubic inches would be around 441.2 feet tall.

Recreational maths with 148382724672

• 148382724672 backwards is 276427283841
• The number of decimal digits it has is: 12
• The sum of 148382724672's digits is 54
• More coming soon!