148972072413312

Names of 148972072413312

• Cardinal: 148972072413312 can be written as One hundred forty-eight trillion, nine hundred seventy-two billion, seventy-two million, four hundred thirteen thousand, three hundred twelve.

Scientific notation

• Scientific notation: 1.48972072413312 × 10¹⁴

Factors of 148972072413312

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1707

Divisors of 148972072413312

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 289 306 353 384 408 432 459 521 544 576 578 612 706 811 816 864 867 918 1042 1059 1088 1152 1156 1224 1412 1563 1622 1632 1728 1734 1836 2084 2118 2176 2312 2433 2448 2601 2824 3126 3177 3244 3264 3456 3468 3672 4168 4236 4624 4689 4866 4896 5202 5648 6001 6252 6354 6488 6528 6936 7299 7344 7803 8336 8472 8857 9248 9378 9531 9732 9792 10404 11296 12002 12504 12708 12976 13787 13872 14067 14598 14688 15606 16672 16944 17714 18003 18496 18756 19062 19464 19584 20808 21897 22592 24004 25008 25416 25952 26571 27574 27744 28134 29196 29376 31212 33344 33888 35428 36006 36992 37512 38124 38928 41361 41616 43794 45184 48008 50016 50832 51904 53142 54009 55148 55488 56268 58392 58752 62424 66688 67776 70856 72012 75024 76248 77856 79713 82722 83232 87588 96016 100032 101664 102017 103808 106284 108018 110296 110976 112536 116784 124083 124848 135552 141712 144024 150048 150569 152496 155712 159426 162027 165444 166464 175176 183913 192032 200064 203328 204034 212568 216036 220592 225072 233568 234379 239139 248166 249696 283424 286283 288048 300096 301138 304992 306051 311424 318852 324054 330888 332928 350352 367826 372249 384064 406656 408068 422531 425136 432072 441184 450144 451707 467136 468758 478278 496332 499392 551739 566848 572566 576096 600192 602276 609984 612102 637704 648108 661776 700704 703137 735652 744498 768128 816136 845062 850272 858849 864144 882368 900288 903414 918153 934272 937516 956556 992664 998784 1103478 1133696 1145132 1152192 1204552 1219968 1224204 1267593 1275408 1296216 1323552 1355121 1401408 1406274 1471304 1488996 1632272 1655217 1690124 1700544 1717698 1728288 1764736 1800576 1806828 1836306 1875032 1913112 1985328 2109411 2206956 2290264 2304384 2409104 2448408 2535186 2550816 2576547 2592432 2647104 2710242 2754459 2802816 2812548 2942608 2977992 3126521 3264544 3310434 3380248 3401088 3435396 3456576 3613656 3672612 3750064 3802779 3826224 3970656 4065363 4218822 4413912 4580528 4818208 4866811 4896816 4965651 5070372 5101632 5153094 5184864 5294208 5420484 5508918 5625096 5885216 5955984 6253042 6328233 6529088 6620868 6760496 6870792 6913152 7183027 7227312 7345224 7500128 7605558 7652448 7729641 7941312 8130726 8437644 8827824 9161056 9379563 9636416 9733622 9793632 9931302 10140744 10203264 10306188 10369728 10840968 11017836 11250192 11408337 11770432 11911968 12506084 12656466 13058176 13241736 13520992 13741584 14366054 14454624 14600433 14690448 15000256 15211116 15304896 15459282 15882624 16261452 16875288 17655648 18322112 18759126 19272832 19467244 19587264 19862604 20281488 20612376 20739456 21549081 21681936 22035672 22500384 22816674 23540864 23823936 25012168 25312932 26483472 27041984 27483168 28138689 28732108 28909248 29200866 29380896 30000512 30422232 30609792 30918564 32522904 33750576 35311296 36644224 37518252 38934488 39174528 39725208 40562976 41224752 43098162 43363872 43801299 44071344 45000768 45633348 47647872 50024336 50625864 52966944 53150857 54083968 54966336 56277378 57464216 57818496 58401732 58761792 60844464 61837128 64647243 65045808 67501152 70622592 75036504 77868976 79450416 81125952 82449504 82735787 84416067 86196324 86727744 87602598 88142688 90001536 91266696 100048672 101251728 105933888 106301714 109932672 112554756 114928432 116803464 117523584 121688928 122111459 123674256 129294486 130091616 131403897 135002304 149153443 150073008 155737952 158900832 159452571 162251904 164899008 165471574 168832134 172392648 173455488 175205196 176285376 182533392 193941729 200097344 202503456 211867776 212603428 225109512 229856864 233606928 243377856 244222918 247348512 248207361 258588972 260183232 262807794 270004608 298306886 300146016 311475904 317801664 318905142 329798016 330943148 337664268 344785296 350410392 352570752 365066784 366334377 387883458 400194688 405006912 425206856 447460329 450219024 459713728 467213856 478357713 486755712 488445836 494697024 496414722 517177944 520366464 525615588 596613772 600292032 622951808 635603328 637810284 661886296 675328536 689570592 700820784 730133568 732668754 744622083 775766916 810013824 850413712 894920658 900438048 919427456 934427712 956715426 976891672 989394048 992829444 1034355888 1051231176 1099003131 1193227544 1200584064 1275620568 1323772592 1342380987 1350657072 1379141184 1401641568 1435073139 1460267136 1465337508 1489244166 1551533832 1700827424 1789841316 1800876096 1868855424 1913430852 1953783344 1985658888 2068711776 2102462352 2198006262 2233866249 2386455088 2535608531 2551241136 2647545184 2684761974 2701314144 2758282368 2803283136 2870146278 2930675016 2978488332 3103067664 3297009393 3401654848 3579682632 3601752192 3826861704 3907566688 3971317776 4027142961 4137423552 4204924704 4396012524 4467732498 4772910176 5071217062 5102482272 5295090368 5369523948 5402628288 5606566272 5740292556 5861350032 5956976664 6206135328 6594018786 6803309696 7159365264 7606825593 7653723408 7815133376 7942635552 8054285922 8274847104 8409849408 8792025048 8935464996 9545820352 10142434124 10204964544 10590180736 10739047896 10805256576 11480585112 11722700064 11913953328 12412270656 13188037572 14318730528 15213651186 15307446816 15630266752 15885271104 16108571844 16819698816 17584050096 17870929992 19091640704 20284868248 20409929088 21478095792 22820476779 22961170224 23445400128 23827906656 24824541312 26376075144 28637461056 30427302372 30614893632 31770542208 32217143688 35168100192 35741859984 40569736496 42956191584 43105345027 45640953558 45922340448 46890800256 47655813312 52752150288 57274922112 60854604744 61229787264 64434287376 68461430337 70336200384 71483719968 81139472992 85912383168 86210690054 91281907116 91844680896 95311626624 105504300576 121709209488 128868574752 129316035081 136922860674 140672400768 142967439936 162278945984 171824766336 172421380108 182563814232 183689361792 211008601152 243418418976 257737149504 258632070162 273845721348 285934879872 324557891968 344842760216 365127628464 387948105243 422017202304 486836837952 515474299008 517264140324 547691442696 689685520432 730255256928 775896210486 973673675904 1034528280648 1095382885392 1163844315729 1379371040864 1460510513856 1551792420972 2069056561296 2190765770784 2327688631458 2758742081728 2921021027712 3103584841944 4138113122592 4381531541568 4655377262916 5517484163456 6207169683888 8276226245184 8763063083136 9310754525832 12414339367776 16552452490368 18621509051664 24828678735552 37243018103328 49657357471104 74486036206656 148972072413312
• Sum of all divisors σ(n): 469859856278400
• Sum of proper divisors (its aliquot sum) s(n): 320887783865088
• 148972072413312 is an abundant number, because the sum of its proper divisors (320887783865088) is greater than itself. Its abundance is 171915711451776

Bases of 148972072413312

• Binary: 100001110111110101000011011101010010100010000000₂
• Hexadecimal: 0x877D43752880
• Base-36: 1GT0TPKIO0

Squares and roots of 148972072413312

• 148972072413312 squared (148972072413312²) is 22192678359117074215754809344
• 148972072413312 cubed (148972072413312³) is 3306089287559730914462165170202692527587328
• The square root of 148972072413312 is 12205411.6036007569
• The cube root of 148972072413312 is 53011.2794805785

Scales and comparisons

• 148,972,072,413,312 seconds is equal to 4,736,851 years, 5 weeks, 2 days, 1 hour, 55 minutes, 12 seconds.
• To count from 1 to 148,972,072,413,312 would take you about eleven million, eight hundred forty-two thousand, one hundred twenty-seven 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 148972072413312 cubic inches would be around 4417.6 feet tall.

Recreational maths with 148972072413312

• 148972072413312 backwards is 213314270279841
• 148972072413312 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 148972072413312's digits is 54
• More coming soon!