148121470524096

Names of 148121470524096

• Cardinal: 148121470524096 can be written as One hundred forty-eight trillion, one hundred twenty-one billion, four hundred seventy million, five hundred twenty-four thousand and ninety-six.

Scientific notation

• Scientific notation: 1.48121470524096 × 10¹⁴

Factors of 148121470524096

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 9404

Divisors of 148121470524096

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 29 32 34 36 48 51 58 64 68 72 87 89 96 102 116 136 144 153 174 178 192 204 232 261 267 272 288 306 348 356 408 464 493 522 534 544 576 612 683 696 712 801 816 928 986 1044 1068 1088 1224 1366 1392 1424 1479 1513 1602 1632 1856 1972 2049 2088 2136 2448 2581 2732 2784 2848 2958 3026 3204 3264 3944 4098 4176 4272 4437 4539 4896 5162 5464 5568 5696 5916 6052 6147 6408 7743 7888 8196 8352 8544 8581 8874 9078 9792 10324 10928 11611 11832 12104 12294 12816 13617 15486 15776 16392 16704 17088 17162 17748 18156 19807 20648 21856 23222 23229 23664 24208 24588 25632 25743 27234 30972 31552 32784 34324 34833 35496 36312 39614 41296 43712 43877 46444 46458 47328 48416 49176 51264 51486 54468 59421 60787 61944 65568 68648 69666 70992 72624 77229 79228 82592 87754 92888 92916 94656 96832 98352 102972 104499 108936 118842 121574 123888 131136 131631 137296 139332 141984 145248 145877 154458 158456 165184 175508 178263 182361 185776 185832 196704 205944 208998 217872 237684 243148 247776 248849 263262 274592 278664 283968 290496 291754 308916 316912 336719 351016 356526 364722 371552 371664 393408 394893 411888 417996 435744 437631 475368 486296 495552 497698 526524 547083 549184 557328 583508 617832 633824 673438 702032 713052 729444 743104 743328 746547 763709 789786 823776 835992 871488 875262 950736 972592 995396 1010157 1033379 1053048 1094166 1114656 1167016 1235664 1267648 1312893 1346876 1404064 1426104 1458888 1486656 1493094 1527418 1579572 1647552 1671984 1750524 1762823 1901472 1945184 1990792 2020314 2066758 2106096 2188332 2229312 2239641 2291127 2334032 2471328 2625786 2693752 2808128 2852208 2917776 2986188 3030471 3054836 3100137 3159144 3343968 3501048 3525646 3802944 3890368 3981584 4040628 4133516 4212192 4230433 4376664 4479282 4582254 4668064 4942656 5251572 5288469 5387504 5704416 5835552 5860823 5972376 6060942 6109672 6200274 6318288 6687936 6873381 7002096 7051292 7963168 8081256 8267032 8424384 8460866 8753328 8958564 9164508 9300411 9336128 10503144 10576938 10775008 11408832 11671104 11721646 11944752 12121884 12219344 12400548 12636576 12691299 12983053 13746762 14004192 14102584 15865407 15926336 16162512 16534064 16921732 17506656 17582469 17917128 18329016 18600822 21006288 21153876 21550016 22147561 23443292 23889504 24243768 24438688 24801096 25273152 25382598 25966106 27493524 28008384 28205168 29967991 31730814 32325024 33068128 33843464 35013312 35164938 35834256 36658032 37201644 38073897 38949159 42012576 42307752 44295122 46886584 47779008 48487536 48877376 49602192 50765196 51932212 52747407 54987048 56410336 59935982 63461628 64650048 66136256 66442683 67686928 70329876 71668512 73316064 74403288 76147794 77898318 84025152 84615504 88590244 89903973 93773168 96975072 99204384 99633991 101530392 103864424 105494814 109974096 112820672 116847477 119871964 126923256 132885366 135373856 140659752 143337024 146632128 148806576 152295588 155796636 169231008 169963867 177180488 179807946 187546336 193950144 198408768 199267982 199328049 203060784 207728848 210989628 219948192 233694954 239743928 253846512 265770732 269711919 270747712 281319504 297613152 298901973 304591176 311593272 338462016 339927734 354360976 359615892 375092672 376508537 398535964 398656098 406121568 415457696 421979256 439896384 467389908 479487856 507693024 509891601 521613247 531541464 539423838 562639008 595226304 597803946 609182352 623186544 679855468 708721952 719231784 753017074 797071928 797312196 812243136 830915392 843958512 896705919 934779816 958975712 1015386048 1019783202 1043226494 1063082928 1078847676 1125278016 1129525611 1195607892 1218364704 1246373088 1359710936 1417443904 1438463568 1506034148 1529674803 1564839741 1594143856 1594624392 1687917024 1793411838 1869559632 1917951424 2039566404 2086452988 2126165856 2157695352 2259051222 2391215784 2436729408 2492746176 2719421872 2876927136 2889385739 3012068296 3059349606 3129679482 3188287712 3189248784 3375834048 3388576833 3586823676 3739119264 4079132808 4172905976 4252331712 4315390704 4518102444 4694519223 4782431568 5438843744 5753854272 5778771478 6024136592 6118699212 6259358964 6376575424 6378497568 6777153666 7173647352 7478238528 8158265616 8345811952 8630781408 8668157217 8867425199 9036204888 9389038446 9564863136 10877687488 11557542956 12048273184 12237398424 12518717928 12756995136 13554307332 14347294704 15126784163 16316531232 16691623904 17261562816 17336314434 17734850398 18072409776 18778076892 19129726272 23115085912 24096546368 24474796848 25037435856 26004471651 26602275597 27108614664 28694589408 30253568326 32633062464 33383247808 34672628868 35469700796 36144819552 37556153784 45380352489 46230171824 48949593696 50074871712 52008943302 53204551194 54217229328 57389178816 60507136652 69345257736 70939401592 72289639104 75112307568 79806826791 90760704978 92460343648 97899187392 100149743424 104017886604 106409102388 108434458656 121014273304 136141057467 138690515472 141878803184 150224615136 159613653582 181521409956 184920687296 208035773208 212818204776 216868917312 242028546608 257155330771 272282114934 277381030944 283757606368 300449230272 319227307164 363042819912 416071546416 425636409552 484057093216 514310661542 544564229868 554762061888 567515212736 638454614328 726085639824 771465992313 832143092832 851272819104 968114186432 1028621323084 1089128459736 1276909228656 1452171279648 1542931984626 1664286185664 1702545638208 2057242646168 2178256919472 2314397976939 2553818457312 2904342559296 3085863969252 4114485292336 4356513838944 4628795953878 5107636914624 6171727938504 8228970584672 8713027677888 9257591907756 12343455877008 16457941169344 18515183815512 24686911754016 37030367631024 49373823508032 74060735262048 148121470524096
• Sum of all divisors σ(n): 471007642996800
• Sum of proper divisors (its aliquot sum) s(n): 322886172472704
• 148121470524096 is an abundant number, because the sum of its proper divisors (322886172472704) is greater than itself. Its abundance is 174764701948608

Bases of 148121470524096

• Binary: 100001101011011100110111101000100101101011000000₂
• Hexadecimal: 0x86B737A25AC0
• Base-36: 1GI62B60G0

Squares and roots of 148121470524096

• 148121470524096 squared (148121470524096²) is 21939970030220640156916617216
• 148121470524096 cubed (148121470524096³) is 3249780624130876177342036633140598936436736
• The square root of 148121470524096 is 12170516.4444281493
• The cube root of 148121470524096 is 52910.1921016399

Scales and comparisons

• 148,121,470,524,096 seconds is equal to 4,709,804 years, 30 weeks, 5 days, 19 hours, 21 minutes, 36 seconds.
• To count from 1 to 148,121,470,524,096 would take you about eleven million, seven hundred seventy-four thousand, five hundred eleven 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 148121470524096 cubic inches would be around 4409.2 feet tall.

Recreational maths with 148121470524096

• 148121470524096 backwards is 690425074121841
• The number of decimal digits it has is: 15
• The sum of 148121470524096's digits is 54
• More coming soon!