34445941248992

Names of 34445941248992

• Cardinal: 34445941248992 can be written as Thirty-four trillion, four hundred forty-five billion, nine hundred forty-one million, two hundred forty-eight thousand, nine hundred ninety-two.

Scientific notation

• Scientific notation: 3.4445941248992 × 10¹³

Factors of 34445941248992

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1953

Divisors of 34445941248992

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 4 7 8 13 14 16 17 26 28 32 34 41 52 56 68 82 91 104 112 119 136 164 169 182 208 221 224 238 272 287 289 328 338 364 416 442 476 533 544 574 578 656 676 697 728 884 952 1066 1148 1156 1183 1312 1352 1394 1456 1547 1681 1768 1873 1904 2023 2132 2296 2312 2366 2704 2788 2873 2912 3094 3362 3536 3731 3746 3757 3808 4046 4264 4592 4624 4732 4879 5408 5576 5746 6188 6724 6929 7072 7462 7492 7514 8092 8528 9061 9184 9248 9464 9758 11152 11492 11767 11849 12376 13111 13448 13858 14924 14984 15028 16184 17056 18122 18928 19516 20111 21853 22304 22984 23534 23698 24349 24752 26222 26299 26896 27716 28577 29848 29968 30056 31841 32368 36244 37856 39032 40222 43706 45968 47068 47396 48503 48698 48841 49504 52444 52598 53792 55432 57154 59696 59936 60112 63427 63682 64736 72488 76793 78064 80444 82943 87412 91936 94136 94792 97006 97396 97682 104888 105196 110864 114308 117793 119392 120224 126854 127364 144976 152971 153586 154037 156128 160888 165886 170443 174824 188272 189584 194012 194792 195364 200039 209776 210392 221728 222887 228616 235586 253708 254728 284089 289952 305942 307172 308074 316537 321776 331772 340886 341887 349648 371501 376544 379168 388024 389584 390728 400078 413933 419552 420784 445774 457232 471172 485809 507416 509456 537551 541297 568178 611884 614344 616148 633074 643552 663544 681772 683774 699296 743002 776048 779168 781456 800156 824551 827866 841568 891548 914464 942344 971618 998309 1014832 1018912 1075102 1078259 1082594 1136356 1223768 1228688 1232296 1266148 1305481 1327088 1363544 1367548 1486004 1552096 1562912 1600312 1649102 1655732 1783096 1884688 1943236 1988623 1996618 2002481 2029664 2150204 2156518 2165188 2215759 2272712 2447536 2457376 2464592 2532296 2600507 2610962 2654176 2727088 2735096 2897531 2972008 3148513 3200624 3298204 3311464 3400663 3566192 3769376 3789079 3886472 3977246 3993236 4004962 4300408 4313036 4330376 4431518 4545424 4829513 4895072 4929184 5064592 5201014 5221924 5381129 5454176 5470192 5795062 5944016 6297026 6315517 6401248 6596408 6622928 6801326 6988163 7036861 7132384 7578158 7772944 7954492 7986472 8009924 8600816 8626072 8660752 8863036 9090848 9138367 9659026 10129184 10402028 10443848 10762258 10940384 11590124 11888032 12594052 12631034 12978017 13192816 13245856 13602652 13976326 14017367 14073722 15156316 15545888 15908984 15972944 16019848 16971253 17201632 17252144 17321504 17726072 18276734 19318052 20804056 20887696 21524516 22039591 22193177 23180248 25188104 25262068 25956034 26385632 27205304 27952652 28034734 28147444 30312632 31817968 31945888 32039696 33806591 33942506 34504288 35452144 36553468 37667903 38636104 40930669 41608112 41775392 43049032 44079182 44208619 44386354 46360496 49258027 50376208 50524136 51912068 53524721 54410608 55905304 56069468 56294888 60625264 63635936 64079392 67613182 67885012 70904288 73106936 75335806 77272208 81861338 82101721 83216224 86098064 88158364 88417238 88772708 90846119 91479193 92720992 98516054 100752416 101048272 103824136 107049442 108821216 111810608 112138936 112589776 118798771 121250528 135226364 135770024 146213872 150671612 154544416 155352239 163722676 164203442 172196128 176316728 176834476 177545416 181692238 182958386 197032108 202096544 207648272 214098884 220626289 223621216 224277872 225179552 237597542 270452728 271540048 286514683 288511301 292427744 301343224 310704478 327445352 328406884 352633456 353668952 355090832 363384476 365916772 374673047 394064216 415296544 428197768 441252578 448555744 475195084 532098697 540905456 543080096 573029366 574712047 577022602 602686448 621408956 640354351 654890704 656813768 695821373 705266912 707337904 710181664 726768952 731833544 749346094 788128432 856395536 882505156 909920257 950390168 1064197394 1081810912 1146058732 1149424094 1154045204 1205372896 1242817912 1280708702 1309781408 1313627536 1391642746 1414675808 1453537904 1463667088 1498692188 1544384023 1576256864 1712791072 1765010312 1819840514 1900780336 2019579107 2128394788 2292117464 2298848188 2308090408 2485635824 2561417404 2627255072 2783285492 2907075808 2927334176 2997384376 3088768046 3530020624 3639681028 3724690879 3750646913 3801560672 4039158214 4256789576 4584234928 4597696376 4616180816 4870749611 4971271648 5122834808 5566570984 5994768752 6177536092 6369441799 7060041248 7279362056 7449381758 7501293826 8078316428 8513579152 9045677849 9168469856 9195392752 9232361632 9741499222 10245669616 11133141968 11828963341 11989537504 12355072184 12738883598 14558724112 14898763516 15002587652 16156632856 17027158304 18091355698 18390785504 19482998444 20491339232 22266283936 23657926682 24710144368 25477767196 26254528391 29117448224 29797527032 30005175304 32313265712 36182711396 38965996888 47315853364 49420288736 50955534392 52509056782 59595054064 60010350608 63319744943 64626531424 72365422792 77931993776 82802743387 94631706728 101911068784 105018113564 119190108128 120020701216 126639489886 144730845584 153776523433 155863987552 165605486774 189263413456 203822137568 210036227128 253278979772 289461691168 307553046866 331210973548 378526826912 420072454256 506557959544 615106093732 662421947096 840144908512 1013115919088 1076435664031 1230212187464 1324843894192 2026231838176 2152871328062 2460424374928 2649687788384 4305742656124 4920848749856 8611485312248 17222970624496 34445941248992
• Sum of all divisors σ(n): 91427083404048
• Sum of proper divisors (its aliquot sum) s(n): 56981142155056
• 34445941248992 is an abundant number, because the sum of its proper divisors (56981142155056) is greater than itself. Its abundance is 22535200906064

Bases of 34445941248992

• Binary: 111110101010000010010000101111001001111100000₂
• Hexadecimal: 0x1F54121793E0
• Base-36: C7K8W1V4W

Squares and roots of 34445941248992

• 34445941248992 squared (34445941248992²) is 1186522868529008544941016064
• 34445941248992 cubed (34445941248992³) is 40870897019935687208308983442549695807488
• The square root of 34445941248992 is 5869066.4716794613
• The cube root of 34445941248992 is 32537.1382157569

Scales and comparisons

• 34,445,941,248,992 seconds is equal to 1,095,274 years, 19 weeks, 6 days, 13 hours, 36 minutes, 32 seconds.
• To count from 1 to 34,445,941,248,992 would take you about two million, seven hundred thirty-eight thousand, one hundred eighty-five 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 34445941248992 cubic inches would be around 2711.4 feet tall.

Recreational maths with 34445941248992

• 34445941248992 backwards is 29984214954443
• 34445941248992 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34445941248992's digits is 68
• More coming soon!