48332312909631344

Names of 48332312909631344

• Cardinal: 48332312909631344 can be written as Forty-eight quadrillion, three hundred thirty-two trillion, three hundred twelve billion, nine hundred nine million, six hundred thirty-one thousand, three hundred forty-four.

Scientific notation

• Scientific notation: 4.8332312909631344 × 10¹⁶

Factors of 48332312909631344

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 6950838

Divisors of 48332312909631344

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 4 8 11 16 19 22 31 38 44 62 73 76 88 124 146 152 176 209 248 292 304 341 418 496 584 589 682 803 836 919 1168 1178 1364 1387 1606 1672 1838 2263 2356 2728 2774 3212 3344 3676 4526 4712 5456 5548 6424 6479 7352 9052 9424 10109 11096 12848 12958 14704 15257 17461 18104 20218 22192 24893 25916 28489 30514 34922 36208 40436 42997 49786 51832 56978 61028 67087 69844 80872 85994 99572 103664 113956 122056 134174 139688 161744 171988 192071 199144 227912 244112 268348 279376 313379 343976 384142 398288 455824 472967 536696 541291 626758 687952 737957 768284 945934 1073392 1082582 1253516 1274653 1475914 1536568 1891868 2079697 2165164 2507032 2549306 2951828 3073136 3783736 4159394 4330328 5014064 5098612 5903656 5954201 6949783 7567472 8318788 8660656 10197224 11807312 11908402 13899566 14021183 16637576 20394448 22876667 23816804 27799132 28042366 33275152 39514243 45753334 47633608 55598264 56084732 76447613 79028486 91506668 95267216 111196528 112169464 132045877 152895226 158056972 183013336 215443273 224338928 264091754 305790452 316113944 366026672 430886546 434656673 507334159 528183508 611580904 632227888 861773092 869313346 1014668318 1056367016 1223161808 1452504647 1723546184 1738626692 2029336636 2112734032 2369876003 2905009294 3447092368 3477253384 4058673272 4093422187 4739752006 5580675749 5810018588 6386850577 6954506768 8117346544 8186844374 9479504012 9639349021 11161351498 11620037176 12773701154 15727358929 16373688748 18959008024 19278698042 22322702996 23240074352 25547402308 31454717858 32747377496 37918016048 38557396084 44645405992 45027644057 51094804616 62909435716 65494754992 70255356347 77114792168 89290811984 90055288114 102189609232 106032839231 121350160963 125818871432 140510712694 154229584336 173000948219 180110576228 197992367887 212065678462 242700321926 251637742864 281021425388 298819819651 346001896438 360221152456 395984735774 424131356924 466240092121 485400643852 562042850776 597639639302 692003792876 720442304912 791969471548 848262713848 932480184242 970801287704 1124085701552 1195279278604 1334851770593 1384007585752 1583938943096 1696525427696 1864960368484 1941602575408 2177916046757 2390558557208 2669703541186 2768015171504 3167877886192 3287018016161 3729920736968 3761854989853 4355832093514 4781117114416 5128641013331 5339407082372 6574036032322 7459841473936 7523709979706 8711664187028 8858561750299 10257282026662 10678814164744 13148072064644 14453442855751 15047419959412 17423328374056 17717123500598 20514564053324 21357628329488 26296144129288 28906885711502 30094839918824 34846656748112 35434247001196 41029128106648 41380404888383 52592288258576 57813771423004 60189679837648 70868494002392 82058256213296 82760809776766 97444179253289 115627542846008 141736988004784 158987871413261 165521619553532 194888358506578 231255085692016 274615414259269 317975742826522 331043239107064 389776717013156 549230828518538 635951485653044 662086478214128 779553434026312 1098461657037076 1271902971306088 1559106868052624 2196923314074152 2543805942612176 3020769556851959 4393846628148304 6041539113703918 12083078227407836 24166156454815672 48332312909631344
• Sum of all divisors σ(n): 112645479446937600
• Sum of proper divisors (its aliquot sum) s(n): 64313166537306256
• 48332312909631344 is an abundant number, because the sum of its proper divisors (64313166537306256) is greater than itself. Its abundance is 15980853627674912

Bases of 48332312909631344

• Binary: 10101011101101011111101110000110001001101100111101110000₂
• Hexadecimal: 0xABB5FB8626CF70
• Base-36: D7WDI0Z1ZZK

Squares and roots of 48332312909631344

• 48332312909631344 squared (48332312909631344²) is 2336012471194516673803837987246336
• 48332312909631344 cubed (48332312909631344³) is 112904885718574556340918811819636673105971474755584
• The square root of 48332312909631344 is 219846111.8819965485
• The cube root of 48332312909631344 is 364260.8747311477

Scales and comparisons

• 48,332,312,909,631,344 seconds is equal to 1,536,818,048 years, 45 weeks, 9 hours, 35 minutes, 44 seconds.
• To count from 1 to 48,332,312,909,631,344 would take you about four billion, six hundred ten million, four hundred fifty-four thousand, one hundred forty-six 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 48332312909631344 cubic inches would be around 30355.1 feet tall.

Recreational maths with 48332312909631344

• 48332312909631344 backwards is 44313690921323384
• The number of decimal digits it has is: 17
• The sum of 48332312909631344's digits is 65
• More coming soon!