148936788949312

Names of 148936788949312

• Cardinal: 148936788949312 can be written as One hundred forty-eight trillion, nine hundred thirty-six billion, seven hundred eighty-eight million, nine hundred forty-nine thousand, three hundred twelve.

Scientific notation

• Scientific notation: 1.48936788949312 × 10¹⁴

Factors of 148936788949312

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 162

Divisors of 148936788949312

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 4 7 8 13 14 16 26 28 31 32 49 52 56 62 64 91 98 104 109 112 124 169 182 196 208 217 218 224 248 338 343 364 392 403 416 434 436 448 496 637 676 686 728 763 784 806 832 868 872 992 1183 1274 1352 1372 1417 1456 1519 1526 1568 1612 1736 1744 1984 2366 2548 2704 2744 2821 2834 2912 3038 3052 3136 3224 3379 3472 3488 4459 4732 5096 5239 5341 5408 5488 5642 5668 5824 6076 6104 6448 6758 6944 6976 8281 8918 9464 9919 10192 10478 10633 10682 10816 10976 11284 11336 11881 12152 12208 12896 13516 13888 16562 17836 18421 18928 19747 19838 20384 20956 21266 21364 21952 22568 22672 23653 23762 24304 24416 25792 27032 33124 35672 36673 36842 37387 37856 39494 39676 40768 41912 42532 42728 43927 45136 45344 47306 47524 48608 48832 54064 57967 66248 69433 71344 73346 73684 74774 75712 78988 79352 83167 83824 85064 85456 87854 90272 90688 94612 95048 97216 108128 115934 128947 132496 138229 138866 142688 146692 147368 149548 154453 157976 158704 165571 166334 167648 170128 170912 175708 180544 189224 190096 216256 231868 256711 257894 264992 276458 277732 285376 293384 294736 299096 307489 308906 315952 317408 331142 332668 335296 340256 341824 351416 368311 378448 380192 463736 486031 513422 515788 529984 552916 555464 571051 582169 586768 589472 598192 614978 617812 631904 634816 662284 665336 680512 702832 736622 756896 760384 902629 927472 972062 1026844 1031576 1081171 1105832 1110928 1142102 1158997 1164338 1173536 1178944 1196384 1229956 1235624 1263808 1295029 1324568 1330672 1405664 1473244 1513792 1796977 1805258 1854944 1944124 2007889 2053688 2063152 2152423 2162342 2211664 2221856 2284204 2317994 2328676 2347072 2392768 2459912 2471248 2578177 2590058 2649136 2661344 2811328 2946488 3593954 3610516 3709888 3888248 3997357 4015778 4075183 4107376 4126304 4304846 4324684 4423328 4443712 4568408 4635988 4657352 4788043 4919824 4942496 5156354 5180116 5298272 5322688 5892976 6318403 7187908 7221032 7568197 7776496 7994714 8031556 8150366 8214752 8252608 8609692 8649368 8846656 9065203 9136816 9271976 9314704 9576086 9839648 9884992 10312708 10360232 10596544 11785952 12636806 14055223 14375816 14442064 15066961 15136394 15552992 15989428 16063112 16300732 16429504 16835377 17219384 17298736 18047239 18130406 18273632 18543952 18629408 19152172 19679296 20625416 20720464 23571904 25273612 27981499 28110446 28751632 28884128 30133922 30272788 31105984 31978856 32126224 32601464 33516301 33670754 34438768 34597472 36094478 36260812 36547264 37087904 37258816 38304344 40145899 41250832 41440928 50547224 52977379 55962998 56220892 57503264 57768256 60267844 60545576 62244559 63456421 63957712 64252448 65202928 67032602 67341508 68877536 69194944 72188956 72521624 74175808 76608688 80291798 82501664 82881856 98386561 101094448 105954758 111925996 112441784 115006528 117847639 120535688 121091152 124489118 126330673 126912842 127915424 128504896 130405856 134065204 134683016 137755072 144377912 145043248 153217376 160583596 165003328 195870493 196773122 202188896 211909516 218859901 223851992 224883568 234614107 235695278 241071376 242182304 248978236 252661346 253825684 255830848 260811712 268130408 269366032 281021293 288755824 290086496 306434752 321167192 391740986 393546244 404377792 423819032 435711913 437719802 444194947 447703984 449767136 469228214 471390556 482142752 484364608 497956472 505322692 507651368 521896687 536260816 538732064 562042586 577511648 580172992 642334384 688705927 783481972 787092488 824933473 847638064 871423826 875439604 888389894 895407968 899534272 938456428 942781112 964285504 995912944 1010645384 1015302736 1043793374 1072521632 1077464128 1124085172 1155023296 1284668768 1377411854 1532019307 1566963944 1574184976 1642298749 1649866946 1695276128 1742847652 1750879208 1776779788 1790815936 1876912856 1885562224 1967149051 1991825888 2021290768 2030605472 2087586748 2145043264 2248170344 2569337536 2754823708 3049983391 3064038614 3133927888 3148369952 3284597498 3299733892 3390552256 3485695304 3501758416 3553559576 3653276809 3753825712 3771124448 3934298102 3983651776 4042581536 4061210944 4175173496 4496340688 5509647416 5774534311 6099966782 6128077228 6267855776 6296739904 6569194996 6599467784 6784656931 6971390608 7003516832 7107119152 7306553618 7507651424 7542248896 7868596204 8085163072 8350346992 8992681376 10724135149 11019294832 11549068622 12199933564 12256154456 12535711552 13138389992 13198935568 13569313862 13770043357 13942781216 14007033664 14214238304 14613107236 15015302848 15737192408 16700693984 17985362752 21349883737 21448270298 22038589664 23098137244 24399867128 24512308912 25572937663 26276779984 26397871136 27138627724 27540086714 27885562432 28428476608 29226214472 31474384816 33401387968 42699767474 42896540596 44077179328 46196274488 47492598517 48799734256 49024617824 51145875326 52553559968 52795742272 54277255448 55080173428 58452428944 62948769632 75068946043 85399534948 85793081192 92392548976 94985197034 97599468512 98049235648 102291750652 105107119936 108554510896 110160346856 116904857888 125897539264 150137892086 170799069896 171586162384 179010563641 184785097952 189970394068 195198937024 204583501304 217109021792 220320693712 233809715776 300275784172 332448189619 341598139792 343172324768 358021127282 369570195904 379940788136 409167002608 434218043584 440641387424 600551568344 664896379238 683196279584 686344649536 716042254564 759881576272 818334005216 881282774848 1201103136688 1329792758476 1366392559168 1432084509128 1519763152544 1636668010432 2327137327333 2402206273376 2659585516952 2864169018256 3039526305088 4654274654666 4804412546752 5319171033904 5728338036512 9308549309332 10638342067808 11456676073024 18617098618664 21276684135616 37234197237328 74468394474656 148936788949312
• Sum of all divisors σ(n): 388818583296000
• Sum of proper divisors (its aliquot sum) s(n): 239881794346688
• 148936788949312 is an abundant number, because the sum of its proper divisors (239881794346688) is greater than itself. Its abundance is 90945005397376

Bases of 148936788949312

• Binary: 100001110111010100001100011001100011100101000000₂
• Hexadecimal: 0x87750C663940
• Base-36: 1GSKM6PFLS

Squares and roots of 148936788949312

• 148936788949312 squared (148936788949312²) is 22182167102531905080905273344
• 148936788949312 cubed (148936788949312³) is 3303740740188166026709679420281725920739328
• The square root of 148936788949312 is 12203966.1155426025
• The cube root of 148936788949312 is 53007.0939773771

Scales and comparisons

• 148,936,788,949,312 seconds is equal to 4,735,729 years, 10 weeks, 1 day, 15 hours, 41 minutes, 52 seconds.
• To count from 1 to 148,936,788,949,312 would take you about eleven million, eight hundred thirty-nine thousand, three hundred twenty-two 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 148936788949312 cubic inches would be around 4417.3 feet tall.

Recreational maths with 148936788949312

• 148936788949312 backwards is 213949887639841
• The number of decimal digits it has is: 15
• The sum of 148936788949312's digits is 82
• More coming soon!