146631244032

Names of 146631244032

• Cardinal: 146631244032 can be written as One hundred forty-six billion, six hundred thirty-one million, two hundred forty-four thousand and thirty-two.

Scientific notation

• Scientific notation: 1.46631244032 × 10¹¹

Factors of 146631244032

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 695

Divisors of 146631244032

• Number of divisors d(n): 1080
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 17 18 21 24 26 27 28 32 34 36 39 42 48 49 51 52 54 56 63 64 68 72 78 81 84 91 96 98 102 104 108 112 117 119 126 128 136 144 147 153 156 162 168 182 189 192 196 204 208 216 221 224 234 238 252 256 272 273 288 294 306 312 324 336 351 357 364 378 384 392 408 416 432 441 442 448 459 468 476 504 544 546 567 576 588 612 624 637 648 653 663 672 702 714 728 756 768 784 816 819 832 833 864 882 884 896 918 936 952 1008 1053 1071 1088 1092 1134 1152 1176 1224 1248 1274 1296 1306 1323 1326 1344 1377 1404 1428 1456 1512 1547 1568 1632 1638 1664 1666 1728 1764 1768 1792 1836 1872 1904 1911 1959 1989 2016 2106 2142 2176 2184 2268 2304 2352 2448 2457 2496 2499 2548 2592 2612 2646 2652 2688 2754 2808 2856 2912 3024 3094 3136 3213 3264 3276 3328 3332 3456 3528 3536 3672 3744 3808 3822 3918 3969 3978 4032 4212 4284 4352 4368 4536 4571 4641 4704 4896 4914 4992 4998 5096 5184 5224 5292 5304 5376 5508 5616 5712 5733 5824 5877 5967 6048 6188 6272 6426 6528 6552 6664 6912 7056 7072 7344 7371 7488 7497 7616 7644 7836 7938 7956 8064 8424 8489 8568 8736 9072 9142 9282 9408 9639 9792 9828 9984 9996 10192 10368 10448 10584 10608 10829 11016 11101 11232 11424 11466 11648 11754 11934 12096 12376 12544 12852 13056 13104 13328 13713 13923 14112 14144 14688 14742 14976 14994 15232 15288 15672 15876 15912 16128 16848 16978 17136 17199 17472 17631 17901 18144 18284 18564 18816 19278 19584 19656 19992 20384 20736 20896 21168 21216 21658 22032 22202 22464 22491 22848 22932 23296 23508 23868 24192 24752 25467 25704 26208 26656 27426 27846 28224 28288 29376 29484 29952 29988 30464 30576 31344 31752 31824 31997 32487 33303 33696 33956 34272 34398 34944 35262 35802 36288 36568 37128 37632 38556 39168 39312 39984 40768 41139 41769 41792 42336 42432 43316 44064 44404 44928 44982 45696 45864 47016 47736 48384 49504 50934 51408 51597 52416 52893 53312 54852 55692 56448 56576 58752 58968 59423 59976 61152 62688 63504 63648 63994 64974 66606 67392 67473 67912 68544 68796 69888 70524 71604 72576 73136 74256 76401 77112 77707 78624 79968 81536 82278 83538 83584 84672 84864 86632 88128 88808 89856 89964 91392 91728 94032 95472 95991 97461 99008 99909 101868 102816 103194 104832 105786 106624 109704 111384 112896 117504 117936 118846 119952 122304 123417 125307 125376 127008 127296 127988 129948 133212 134784 134946 135824 137088 137592 141048 143208 144313 145152 146272 148512 152802 154224 155414 157248 159936 163072 164556 167076 167168 169344 169728 173264 176256 177616 178269 179928 183456 188064 190944 191982 194922 198016 199818 203736 205632 206388 209664 211572 213248 219408 222768 229203 233121 235872 237692 239904 244608 246834 250614 250752 254016 254592 255976 259896 266424 269568 269892 271648 274176 275184 282096 286416 287973 288626 292383 292544 297024 299727 305604 308448 310828 314496 319872 329112 334152 338688 346528 352512 355232 356538 359856 366912 370251 376128 381888 383964 389844 396032 399636 407472 411264 412776 415961 423144 432939 438816 445536 458406 466242 471744 475384 479808 489216 493668 501228 501504 508032 509184 511952 519792 532848 534807 539784 543296 543949 550368 564192 572832 575946 577252 584766 585088 594048 599454 611208 616896 621656 628992 639744 658224 668304 687609 693056 699363 710464 713076 719712 733824 740502 752256 763776 767928 779688 799272 814944 822528 825552 831922 846288 863919 865878 877149 877632 891072 899181 916812 932484 943488 950768 959616 987336 1002456 1010191 1016064 1023904 1039584 1065696 1069614 1079568 1086592 1087898 1100736 1128384 1145664 1151892 1154504 1169532 1170176 1188096 1198908 1222416 1233792 1243312 1247883 1298817 1316448 1336608 1375218 1386112 1398726 1420928 1426152 1439424 1467648 1481004 1504512 1527552 1535856 1559376 1598544 1604421 1629888 1631847 1651104 1663844 1692576 1727838 1731756 1754298 1755264 1782144 1798362 1833624 1864968 1886976 1901536 1919232 1974672 2004912 2020382 2047808 2079168 2098089 2131392 2139228 2159136 2173184 2175796 2201472 2256768 2291328 2303784 2309008 2339064 2397816 2444832 2467584 2486624 2495766 2591757 2597634 2632896 2673216 2750436 2772224 2797452 2841856 2852304 2878848 2962008 3030573 3071712 3118752 3197088 3208842 3259776 3263694 3302208 3327688 3385152 3455676 3463512 3508596 3510528 3564288 3596724 3667248 3729936 3743649 3803072 3896451 3949344 4009824 4040764 4095616 4158336 4196178 4262784 4278456 4318272 4351592 4402944 4513536 4582656 4607568 4618016 4678128 4795632 4813263 4889664 4895541 4973248 4991532 5183514 5195268 5265792 5346432 5500872 5594904 5704608 5757696 5924016 6061146 6143424 6237504 6294267 6394176 6417684 6519552 6527388 6604416 6655376 6770304 6911352 6927024 7017192 7071337 7193448 7334496 7459872 7487298 7606144 7792902 7898688 8019648 8081528 8191232 8316672 8392356 8525568 8556912 8636544 8703184 9091719 9215136 9236032 9356256 9591264 9626526 9779328 9791082 9946496 9983064 10367028 10390536 10531584 10692864 11001744 11189808 11230947 11409216 11689353 11848032 12122292 12286848 12475008 12588534 12788352 12835368 13054776 13208832 13310752 13540608 13822704 13854048 14034384 14142674 14386896 14668992 14686623 14919744 14974596 15212288 15585804 15797376 16039296 16163056 16784712 17113824 17273088 17406368 18183438 18430272 18472064 18712512 19182528 19253052 19558656 19582164 19892992 19966128 20734056 20781072 21214011 22003488 22379616 22461894 22818432 23378706 23696064 24244584 24573696 24950016 25177068 25576704 25670736 26109552 26621504 27275157 27645408 27708096 28068768 28285348 28773792 29337984 29373246 29839488 29949192 31171608 31594752 32078592 32326112 33569424 33692841 34227648 34812736 36366876 36860544 36944128 37425024 38365056 38506104 39164328 39932256 41468112 41562144 42428022 44006976 44059869 44759232 44923788 45636864 46757412 47392128 48489168 50354136 51341472 52219104 53243008 54550314 55290816 55416192 56137536 56570696 57547584 58675968 58746492 59678976 59898384 62343216 63642033 64652224 67138848 67385682 68455296 69625472 72733752 73721088 74850048 76730112 77012208 78328656 79864512 81825471 82936224 83124288 84856044 88013952 88119738 89518464 89847576 93514824 94784256 96978336 100708272 102682944 104438208 106486016 109100628 110581632 110832384 112275072 113141392 115095168 117492984 119796768 124686432 127284066 129304448 134277696 134771364 136910592 139250944 145467504 154024416 156657312 159729024 163650942 165872448 166248576 169712088 176027904 176239476 179036928 179695152 187029648 190926099 193956672 201416544 205365888 208876416 218201256 221163264 224550144 226282784 230190336 234985968 239593536 249372864 254568132 258608896 268555392 269542728 290935008 308048832 313314624 319458048 327301884 331744896 332497152 339424176 352478952 359390304 374059296 381852198 387913344 402833088 410731776 417752832 436402512 452565568 469971936 479187072 498745728 509136264 537110784 539085456 572778297 581870016 616097664 626629248 654603768 663489792 678848352 704957904 718780608 748118592 763704396 775826688 805666176 872805024 905131136 939943872 958374144 997491456 1018272528 1078170912 1145556594 1163740032 1232195328 1253258496 1309207536 1357696704 1409915808 1437561216 1496237184 1527408792 1611332352 1745610048 1810262272 1879887744 2036545056 2156341824 2291113188 2327480064 2618415072 2715393408 2819831616 2875122432 2992474368 3054817584 3491220096 3759775488 4073090112 4312683648 4582226376 5236830144 5430786816 5639663232 6109635168 6982440192 8146180224 8625367296 9164452752 10473660288 11279326464 12219270336 16292360448 18328905504 20947320576 24438540672 36657811008 48877081344 73315622016 146631244032
• Sum of all divisors σ(n): 580843876536
• Sum of proper divisors (its aliquot sum) s(n): 434212632504
• 146631244032 is an abundant number, because the sum of its proper divisors (434212632504) is greater than itself. Its abundance is 287581388472

Bases of 146631244032

• Binary: 10001000100011111001110011100100000000₂
• Hexadecimal: 0x2223E73900
• Base-36: 1VD0GG00

Squares and roots of 146631244032

• 146631244032 squared (146631244032²) is 21500721726371935617024
• 146631244032 cubed (146631244032³) is 3152677574323767621456038637600768
• The square root of 146631244032 is 382924.5931407383
• The cube root of 146631244032 is 5273.2153352005

Scales and comparisons

• 146,631,244,032 seconds is equal to 4,662 years, 21 weeks, 5 days, 21 hours, 7 minutes, 12 seconds.
• To count from 1 to 146,631,244,032 would take you about nine thousand, three hundred twenty-four 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 146631244032 cubic inches would be around 439.4 feet tall.

Recreational maths with 146631244032

• 146631244032 backwards is 230442136641
• 146631244032 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 146631244032's digits is 36
• More coming soon!