148321904640
148,321,904,640 is an even composite number composed of seven prime numbers multiplied together.
148321904640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 148321904640:
211 × 3 × 5 × 7 × 13 × 17 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 13 × 17 × 3121)See below for interesting mathematical facts about the number 148321904640 from the Numbermatics database.
Names of 148321904640
- Cardinal: 148321904640 can be written as One hundred forty-eight billion, three hundred twenty-one million, nine hundred four thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.4832190464 × 1011
Factors of 148321904640
Divisors of 148321904640
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 17 20 21 24 26 28 30 32 34 35 39 40 42 48 51 52 56 60 64 65 68 70 78 80 84 85 91 96 102 104 105 112 119 120 128 130 136 140 156 160 168 170 182 192 195 204 208 210 221 224 238 240 255 256 260 272 273 280 312 320 336 340 357 364 384 390 408 416 420 442 448 455 476 480 510 512 520 544 546 560 595 624 640 663 672 680 714 728 768 780 816 832 840 884 896 910 952 960 1020 1024 1040 1088 1092 1105 1120 1190 1248 1280 1326 1344 1360 1365 1428 1456 1536 1547 1560 1632 1664 1680 1768 1785 1792 1820 1904 1920 2040 2048 2080 2176 2184 2210 2240 2380 2496 2560 2652 2688 2720 2730 2856 2912 3072 3094 3120 3121 3264 3315 3328 3360 3536 3570 3584 3640 3808 3840 4080 4160 4352 4368 4420 4480 4641 4760 4992 5120 5304 5376 5440 5460 5712 5824 6144 6188 6240 6242 6528 6630 6656 6720 7072 7140 7168 7280 7616 7680 7735 8160 8320 8704 8736 8840 8960 9282 9363 9520 9984 10240 10608 10752 10880 10920 11424 11648 12376 12480 12484 13056 13260 13312 13440 14144 14280 14336 14560 15232 15360 15470 15605 16320 16640 17408 17472 17680 17920 18564 18726 19040 19968 21216 21504 21760 21840 21847 22848 23205 23296 24752 24960 24968 26112 26520 26624 26880 28288 28560 29120 30464 30720 30940 31210 32640 33280 34816 34944 35360 35840 37128 37452 38080 39936 40573 42432 43008 43520 43680 43694 45696 46410 46592 46815 49504 49920 49936 52224 53040 53057 53760 56576 57120 58240 60928 61880 62420 65280 65541 66560 69888 70720 71680 74256 74904 76160 79872 81146 84864 87040 87360 87388 91392 92820 93184 93630 99008 99840 99872 104448 106080 106114 107520 109235 113152 114240 116480 121719 121856 123760 124840 130560 131082 133120 139776 141440 148512 149808 152320 159171 162292 169728 174080 174720 174776 182784 185640 186368 187260 198016 199680 199744 202865 212160 212228 215040 218470 226304 228480 232960 243438 243712 247520 249680 261120 262164 265285 279552 282880 284011 297024 299616 304640 318342 324584 327705 339456 349440 349552 365568 371280 371399 374520 396032 399360 399488 405730 424320 424456 436940 452608 456960 465920 486876 495040 499360 522240 524328 530570 559104 565760 568022 594048 599232 608595 609280 636684 649168 655410 678912 689741 698880 699104 731136 742560 742798 749040 792064 795855 798976 811460 848640 848912 852033 873880 913920 931840 973752 990080 998720 1048656 1061140 1114197 1131520 1136044 1188096 1198464 1217190 1218560 1273368 1298336 1310820 1357824 1379482 1397760 1398208 1420055 1485120 1485596 1498080 1584128 1591710 1597952 1622920 1697280 1697824 1704066 1747760 1827840 1856995 1947504 1980160 1997440 2069223 2097312 2122280 2228394 2263040 2272088 2376192 2396928 2434380 2546736 2596672 2621640 2758964 2795520 2796416 2840110 2970240 2971192 2996160 3168256 3183420 3195904 3245840 3394560 3395648 3408132 3448705 3495520 3655680 3713990 3895008 3960320 3994880 4138446 4194624 4244560 4260165 4456788 4544176 4752384 4793856 4828187 4868760 5093472 5193344 5243280 5517928 5570985 5592832 5680220 5940480 5942384 5992320 6366840 6391808 6491680 6789120 6791296 6816264 6897410 6991040 7427980 7790016 7920640 7989760 8276892 8389248 8489120 8520330 8913576 9088352 9504768 9587712 9656374 9737520 10186944 10346115 10386688 10486560 11035856 11141970 11185664 11360440 11880960 11884768 11984640 12733680 12983360 13582592 13632528 13794820 13982080 14484561 14855960 15580032 15841280 15979520 16553784 16778496 16978240 17040660 17827152 18176704 19175424 19312748 19475040 20373888 20692230 20773376 20973120 22071712 22283940 22371328 22720880 23761920 23769536 23969280 24140935 25467360 25966720 27165184 27265056 27589640 27964160 28969122 29711920 31160064 31959040 33107568 33556992 33956480 34081320 35654304 36353408 38625496 38950080 40747776 41384460 41546752 41946240 44143424 44567880 44742656 45441760 47523840 47539072 47938560 48281870 50934720 51933440 54330368 54530112 55179280 55928320 57938244 59423840 62320128 66215136 67113984 67912960 68162640 71308608 72422805 72706816 77250992 77900160 81495552 82768920 83093504 83892480 88286848 89135760 90883520 95078144 95877120 96563740 101869440 103866880 108660736 109060224 110358560 111856640 115876488 118847680 124640256 132430272 134227968 135825920 136325280 142617216 144845610 145413632 154501984 155800320 162991104 165537840 167784960 176573696 178271520 181767040 190156288 193127480 203738880 207733760 218120448 220717120 223713280 231752976 237695360 249280512 264860544 271651840 272650560 285234432 289691220 290827264 309003968 311600640 325982208 331075680 335569920 353147392 356543040 363534080 380312576 386254960 407477760 415467520 436240896 441434240 463505952 475390720 529721088 543303680 545301120 570468864 579382440 581654528 618007936 623201280 662151360 671139840 706294784 713086080 727068160 760625152 772509920 814955520 872481792 882868480 927011904 950781440 1059442176 1090602240 1140937728 1158764880 1236015872 1246402560 1324302720 1412589568 1426172160 1454136320 1545019840 1629911040 1744963584 1765736960 1854023808 1901562880 2118884352 2181204480 2281875456 2317529760 2472031744 2648605440 2852344320 2908272640 3090039680 3531473920 3708047616 3803125760 4237768704 4362408960 4635059520 4944063488 5297210880 5704688640 6180079360 7062947840 7416095232 8724817920 9270119040 9888126976 10594421760 11409377280 12360158720 14832190464 18540238080 21188843520 24720317440 29664380928 37080476160 49440634880 74160952320 148321904640
- Sum of all divisors σ(n): 618569602560
- Sum of proper divisors (its aliquot sum) s(n): 470247697920
- 148321904640 is an abundant number, because the sum of its proper divisors (470247697920) is greater than itself. Its abundance is 321925793280
Bases of 148321904640
- Binary: 100010100010001010110010101000000000002
- Hexadecimal: 0x2288ACA800
- Base-36: 1W4Z162O
Squares and roots of 148321904640
- 148321904640 squared (1483219046402) is 21999387396037253529600
- 148321904640 cubed (1483219046403) is 3262991039493455431904834617344000
-
The
square root of 148321904640 is 385125.8296193595 -
The
cube root of 148321904640 is 5293.4046909583
Scales and comparisons
How big is 148321904640?- 148,321,904,640 seconds is equal to 4,716 years, 9 weeks, 1 day, 17 hours, 4 minutes.
-
To count from 1 to 148,321,904,640 would take you about nine thousand, four hundred thirty-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 148321904640 cubic inches would be around 441.1 feet tall.
Recreational maths with 148321904640
- 148321904640 backwards is 046409123841
- 148321904640 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 148321904640's digits is 42
- More coming soon!
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