131139072768

Names of 131139072768

• Cardinal: 131139072768 can be written as One hundred thirty-one billion, one hundred thirty-nine million, seventy-two thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.31139072768 × 10¹¹

Factors of 131139072768

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 122

Divisors of 131139072768

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 17 22 23 24 29 32 33 34 37 44 46 48 51 58 64 66 68 69 74 87 88 92 96 102 111 116 128 132 136 138 148 174 176 184 187 192 204 222 232 253 256 264 272 276 296 319 348 352 368 374 384 391 407 408 444 464 493 506 528 544 552 561 592 629 638 667 696 704 736 748 759 768 782 814 816 851 888 928 957 986 1012 1056 1073 1088 1104 1122 1173 1184 1221 1258 1276 1334 1369 1392 1408 1472 1479 1496 1518 1564 1628 1632 1702 1776 1856 1887 1914 1972 2001 2024 2112 2146 2176 2208 2244 2346 2368 2442 2516 2552 2553 2668 2738 2784 2816 2944 2958 2992 3036 3128 3219 3256 3264 3404 3552 3712 3774 3828 3944 4002 4048 4107 4224 4292 4301 4352 4416 4488 4692 4736 4884 5032 5104 5106 5336 5423 5476 5568 5888 5916 5984 6072 6256 6438 6512 6528 6808 6919 7104 7337 7424 7548 7656 7888 8004 8096 8214 8448 8584 8602 8832 8976 9361 9384 9472 9768 10064 10208 10212 10672 10846 10952 11136 11339 11803 11832 11968 12144 12512 12876 12903 13024 13056 13616 13838 14208 14467 14674 15059 15096 15312 15776 16008 16192 16269 16428 17168 17204 17664 17952 18241 18722 18768 19536 20128 20416 20424 20757 21344 21692 21904 22011 22272 22678 23273 23606 23664 23936 24288 24679 25024 25752 25806 26048 27232 27676 28083 28416 28934 29348 30118 30192 30624 31487 31552 32016 32384 32538 32856 34017 34336 34408 35409 35904 36482 37444 37536 39072 39701 40256 40832 40848 41514 42688 43384 43401 43808 44022 45177 45356 46546 47212 47328 47872 48576 49358 50048 51504 51612 52096 54464 54723 55352 56166 57868 58696 60236 60384 61248 62974 63104 64032 64768 65076 65712 68034 68672 68816 69819 70818 71808 72964 74037 74888 75072 78144 79402 80512 81664 81696 83028 85376 86768 86802 87616 88044 90354 90712 93092 94424 94461 94656 97152 98716 100096 103008 103224 104192 108928 109446 110704 112332 115736 117392 119103 120472 120768 122496 124729 125948 126208 128064 130152 131424 136068 137344 137632 139638 141636 143616 145928 148074 149776 150144 156288 158804 159137 161024 163392 166056 170752 173536 173604 175232 176088 180708 181424 186184 188848 188922 189312 194304 197432 200651 206016 206448 217856 218892 221408 224664 231472 234784 238206 240944 241536 244992 249458 251896 256003 256128 260304 262848 271469 272136 274688 275264 279276 283272 291856 296148 299552 300288 312576 317608 318274 326784 332112 346357 347072 347208 350464 352176 361416 362848 372368 374187 377696 377844 378624 394864 401302 412032 412896 419543 436711 437784 442816 449328 462944 469568 476412 477411 481888 483072 498916 503792 512006 512256 520608 525696 535279 542938 544272 550528 558552 566544 583712 592296 599104 601953 635216 636548 653568 664224 674917 692714 694144 694416 704352 722832 725696 744736 748374 755392 755688 768009 789728 802604 814407 824064 825792 839086 873422 875568 885632 898656 913123 925888 939136 952824 954822 963776 997832 1007584 1024012 1039071 1041216 1051392 1070558 1085876 1088544 1101056 1117104 1133088 1167424 1184592 1198208 1203906 1258629 1270432 1273096 1310133 1328448 1349834 1385428 1388288 1388832 1408704 1445664 1451392 1489472 1496748 1510784 1511376 1536018 1579456 1605208 1605837 1628814 1651584 1678172 1746844 1751136 1771264 1797312 1826246 1851776 1878272 1905648 1909644 1927552 1995664 2015168 2024751 2048024 2078142 2082432 2141116 2171752 2177088 2234208 2266176 2334848 2369184 2396416 2407812 2517258 2540864 2546192 2620266 2656896 2699668 2739369 2770856 2777664 2817408 2891328 2902784 2978944 2993496 3021568 3022752 3072036 3158912 3210416 3211674 3257628 3303168 3356344 3493688 3502272 3594624 3652492 3703552 3811296 3819288 3855104 3991328 4030336 4049502 4096048 4156284 4164864 4282232 4343504 4354176 4468416 4532352 4614973 4669696 4738368 4815624 5034516 5081728 5092384 5240532 5313792 5399336 5478738 5541712 5555328 5634816 5782656 5888069 5957888 5986992 6045504 6144072 6317824 6420832 6423348 6515256 6712688 6987376 7004544 7189248 7304984 7424087 7622592 7638576 7982656 8060672 8099004 8192096 8312568 8564464 8687008 8708352 8936832 9064704 9229946 9476736 9631248 10044353 10069032 10163456 10184768 10481064 10798672 10957476 11083424 11110656 11565312 11776138 11973984 12091008 12288144 12841664 12846696 13030512 13425376 13844919 13974752 14009088 14609968 14848174 15245184 15277152 15523091 15965312 16198008 16384192 16625136 17128928 17374016 17664207 17873664 18459892 18953472 19262496 20088706 20138064 20369536 20962128 21597344 21914952 22166848 22272261 23552276 23947968 24182016 24576288 25683328 25693392 26061024 26850752 27689838 27949504 29219936 29696348 30133059 30490368 30554304 31046182 31930624 32396016 32768384 33250272 34257856 34748032 35328414 36919784 38524992 40177412 40276128 40739072 41924256 43194688 43829904 44333696 44544522 46569273 47104552 47895936 49152576 51366656 51386784 52122048 53701504 55379676 55899008 58439872 59392696 60266118 61108608 62092364 64792032 65536768 66500544 68515712 69496064 70656828 73839568 77049984 80354824 80552256 83848512 86389376 87659808 88667392 89089044 93138546 94209104 95791872 98305152 102773568 104244096 107403008 110759352 111798016 116879744 118785392 120532236 122217216 124184728 129584064 133001088 137031424 141313656 147679136 154099968 160709648 161104512 167697024 170754001 172778752 175319616 178178088 186277092 188418208 196610304 205547136 208488192 221518704 233759488 237570784 241064472 248369456 259168128 266002176 282627312 295358272 321419296 322209024 335394048 341508002 350639232 356356176 372554184 376836416 411094272 443037408 475141568 482128944 496738912 512262003 518336256 565254624 590716544 642838592 683016004 701278464 712712352 745108368 753672832 886074816 950283136 964257888 993477824 1024524006 1130509248 1181433088 1285677184 1366032008 1425424704 1490216736 1507345664 1772149632 1900566272 1928515776 1986955648 2049048012 2261018496 2571354368 2732064016 2850849408 2980433472 3544299264 3857031552 3973911296 4098096024 4522036992 5464128032 5701698816 5960866944 7714063104 8196192048 10928256064 11921733888 16392384096 21856512128 32784768192 43713024256 65569536384 131139072768
• Sum of all divisors σ(n): 447261212160
• Sum of proper divisors (its aliquot sum) s(n): 316122139392
• 131139072768 is an abundant number, because the sum of its proper divisors (316122139392) is greater than itself. Its abundance is 184983066624

Bases of 131139072768

• Binary: 1111010001000011111110111001100000000₂
• Hexadecimal: 0x1E887F7300
• Base-36: 1O8STG5C

Squares and roots of 131139072768

• 131139072768 squared (131139072768²) is 17197456406450799181824
• 131139072768 cubed (131139072768³) is 2255258487110059138516972398968832
• The square root of 131139072768 is 362131.2921690143
• The cube root of 131139072768 is 5080.5496848717

Scales and comparisons

• 131,139,072,768 seconds is equal to 4,169 years, 42 weeks, 3 days, 8 hours, 12 minutes, 48 seconds.
• To count from 1 to 131,139,072,768 would take you about eight thousand, three hundred thirty-nine 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 131139072768 cubic inches would be around 423.4 feet tall.

Recreational maths with 131139072768

• 131139072768 backwards is 867270931131
• 131139072768 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 131139072768's digits is 48
• More coming soon!