48127392768

Names of 48127392768

• Cardinal: 48127392768 can be written as Forty-eight billion, one hundred twenty-seven million, three hundred ninety-two thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 4.8127392768 × 10¹⁰

Factors of 48127392768

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 102

Divisors of 48127392768

• Number of divisors d(n): 1056
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 17 19 21 24 26 28 32 34 38 39 41 42 48 51 52 56 57 64 68 76 78 82 84 91 96 102 104 112 114 119 123 128 133 136 152 156 164 168 169 182 192 204 208 221 224 228 238 246 247 256 266 272 273 287 304 312 323 328 336 338 357 364 384 399 408 416 442 448 456 476 492 494 507 512 532 533 544 546 574 608 624 646 656 663 672 676 697 714 728 741 768 779 798 816 832 861 884 896 912 952 969 984 988 1014 1024 1064 1066 1088 1092 1148 1183 1216 1248 1292 1312 1326 1344 1352 1394 1428 1456 1482 1536 1547 1558 1596 1599 1632 1664 1722 1729 1768 1792 1824 1904 1938 1968 1976 2028 2091 2128 2132 2176 2184 2261 2296 2337 2366 2432 2496 2584 2624 2652 2688 2704 2788 2856 2873 2912 2964 3072 3094 3116 3192 3198 3211 3264 3328 3444 3458 3536 3549 3584 3648 3731 3808 3876 3936 3952 4056 4182 4199 4256 4264 4352 4368 4522 4592 4641 4674 4732 4864 4879 4992 5168 5187 5248 5304 5376 5408 5453 5576 5712 5746 5824 5928 6188 6232 6384 6396 6422 6528 6656 6783 6888 6916 6929 7072 7098 7168 7296 7462 7616 7752 7872 7904 8112 8364 8398 8512 8528 8619 8704 8736 9044 9061 9184 9282 9348 9464 9633 9728 9758 9984 10127 10336 10374 10496 10608 10752 10816 10906 11152 11193 11424 11492 11648 11856 12376 12464 12597 12768 12792 12844 13056 13243 13312 13566 13776 13832 13858 14144 14196 14592 14637 14924 15232 15504 15744 15808 16224 16359 16728 16796 17024 17056 17238 17408 17472 18088 18122 18368 18564 18696 18928 19266 19456 19516 19968 20111 20254 20672 20748 20787 20992 21216 21504 21632 21812 22304 22386 22477 22848 22984 23296 23712 24752 24928 25194 25536 25584 25688 26112 26486 27132 27183 27552 27664 27716 28288 28392 29184 29274 29393 29848 30381 30464 31008 31488 31616 32448 32718 33456 33592 34048 34112 34476 34944 36176 36244 36736 37128 37392 37856 38532 39032 39729 39936 40222 40508 41344 41496 41574 41984 42432 43264 43624 44608 44772 44954 45696 45968 46592 47424 48503 49504 49856 50388 51072 51168 51376 52224 52972 54264 54366 54587 55104 55328 55432 56576 56784 58368 58548 58786 59696 60333 60762 60928 62016 62976 63232 63427 64896 65436 66912 67184 67431 68096 68224 68952 69888 70889 72352 72488 73472 74256 74784 75712 77064 78064 79458 80444 81016 82688 82992 83148 84864 86528 87248 88179 89216 89544 89908 91392 91936 92701 93184 94848 97006 99008 99712 100776 102144 102336 102752 105944 108528 108732 109174 110208 110656 110864 113152 113568 117096 117572 117793 119392 120666 121524 121856 124032 125952 126464 126854 129792 130872 131651 133824 134368 134862 136192 136448 137904 139776 141778 144704 144976 145509 146944 148512 149568 151424 154128 156128 158916 160888 162032 163761 165376 165984 166296 169728 172159 173056 174496 176358 178432 179088 179816 182784 183872 185402 189696 190281 194012 198016 199424 201552 204288 204672 205504 211888 212667 217056 217464 218348 220416 221312 221728 226304 227136 234192 235144 235586 238784 241332 243048 248064 252928 253708 259584 261744 263302 267648 268736 269724 272896 275808 278103 279552 283556 289408 289952 291018 293888 297024 299136 302848 308256 312256 317832 321776 324064 327522 330752 331968 332592 339456 344318 348992 352716 353379 356864 358176 359632 365568 367744 370804 379392 380562 382109 388024 394953 396032 398848 403104 408576 409344 411008 423776 425334 434112 434928 436696 440832 442624 443456 454272 468384 470288 471172 477568 482664 486096 496128 507416 516477 519168 523488 526604 535296 537472 539448 545792 551616 556206 567112 578816 579904 582036 594048 598272 605696 616512 624512 635664 643552 648128 655044 663936 665184 678912 688636 697984 705432 706758 713728 716352 719264 735488 741608 758784 761124 764218 776048 789906 792064 797696 806208 818688 822016 824551 847552 850668 868224 869856 873392 881664 885248 886912 908544 921557 936768 940576 942344 955136 965328 972192 992256 1014832 1032954 1046976 1053208 1070592 1074944 1078896 1103232 1112412 1134224 1146327 1157632 1159808 1164072 1188096 1196544 1205113 1211392 1233024 1249024 1271328 1287104 1296256 1310088 1327872 1330368 1377272 1395968 1410864 1413516 1432704 1438528 1470976 1483216 1522248 1528436 1552096 1579812 1584128 1612416 1637376 1644032 1649102 1695104 1701336 1736448 1739712 1746784 1770496 1773824 1817088 1843114 1873536 1881152 1884688 1910272 1930656 1944384 2029664 2065908 2093952 2106416 2141184 2149888 2157792 2206464 2224824 2238067 2268448 2292654 2315264 2319616 2328144 2376192 2393088 2410226 2466048 2473653 2498048 2542656 2574208 2592512 2620176 2655744 2660736 2754544 2764671 2791936 2821728 2827032 2865408 2877056 2941952 2966432 3044496 3056872 3104192 3159624 3224832 3288064 3298204 3390208 3402672 3472896 3479424 3493568 3547648 3615339 3634176 3686228 3747072 3762304 3769376 3820544 3861312 3888768 4059328 4131816 4187904 4212832 4299776 4315584 4412928 4449648 4476134 4536896 4585308 4639232 4656288 4752384 4820452 4932096 4947306 4996096 5085312 5148416 5185024 5240352 5311488 5321472 5509088 5529342 5583872 5643456 5654064 5730816 5754112 5932864 6088992 6113744 6208384 6319248 6449664 6596408 6714201 6780416 6805344 6945792 6958848 6987136 7095296 7230678 7372456 7494144 7524608 7538752 7722624 7777536 8118656 8263632 8375808 8425664 8631168 8825856 8899296 8952268 9073792 9170616 9278464 9312576 9640904 9864192 9894612 10170624 10296832 10370048 10480704 10642944 11018176 11058684 11286912 11308128 11461632 11508224 11865728 12177984 12227488 12416768 12638496 12899328 13192816 13428402 13560832 13610688 13917696 13974272 14461356 14744912 14988288 15049216 15077504 15445248 15555072 15666469 16237312 16527264 16751616 16851328 17262336 17798592 17904536 18147584 18341232 18625152 19281808 19789224 20341248 20593664 20961408 21285888 22036352 22117368 22573824 22616256 23016448 23731456 24355968 24454976 24833536 25276992 26385632 26856804 27221376 27835392 27948544 28922712 29489824 30098432 30155008 30890496 31110144 31332938 32474624 33054528 33702656 34524672 35597184 35809072 36295168 36682464 37250304 38563616 39578448 40682496 41922816 44072704 44234736 45147648 45232512 46999407 47462912 48711936 48909952 49667072 50553984 52771264 53713608 54442752 55897088 57845424 58979648 60310016 61780992 62665876 64949248 66109056 67405312 69049344 71194368 71618144 72590336 73364928 74500608 77127232 79156896 83845632 88145408 88469472 90295296 90465024 93998814 94925824 97423872 97819904 101107968 105542528 107427216 108885504 115690848 117959296 120620032 125331752 132218112 134810624 142388736 143236288 146729856 149001216 154254464 158313792 167691264 176290816 176938944 180930048 187997628 194847744 195639808 202215936 211085056 214854432 217771008 231381696 235918592 250663504 264436224 284777472 286472576 293459712 308508928 316627584 353877888 361860096 375995256 391279616 404431872 422170112 429708864 462763392 471837184 501327008 528872448 572945152 586919424 617017856 633255168 707755776 751990512 844340224 859417728 925526784 943674368 1002654016 1145890304 1173838848 1234035712 1266510336 1415511552 1503981024 1718835456 1851053568 2005308032 2291780608 2533020672 2831023104 3007962048 3437670912 3702107136 4010616064 6015924096 6875341824 8021232128 12031848192 16042464256 24063696384 48127392768
• Sum of all divisors σ(n): 181246947840
• Sum of proper divisors (its aliquot sum) s(n): 133119555072
• 48127392768 is an abundant number, because the sum of its proper divisors (133119555072) is greater than itself. Its abundance is 84992162304

Bases of 48127392768

• Binary: 101100110100100111011011110000000000₂
• Hexadecimal: 0xB349DBC00
• Base-36: M3XT1XC

Squares and roots of 48127392768

• 48127392768 squared (48127392768²) is 2316245934645338701824
• 48127392768 cubed (48127392768³) is 111474877843959474483074886008832
• The square root of 48127392768 is 219379.5632414287
• The cube root of 48127392768 is 3637.4534569499

Scales and comparisons

• 48,127,392,768 seconds is equal to 1,530 years, 15 weeks, 5 days, 12 minutes, 48 seconds.
• To count from 1 to 48,127,392,768 would take you about three thousand and sixty 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 48127392768 cubic inches would be around 303.1 feet tall.

Recreational maths with 48127392768

• 48127392768 backwards is 86729372184
• 48127392768 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 48127392768's digits is 57
• More coming soon!