34947468361728

Names of 34947468361728

• Cardinal: 34947468361728 can be written as Thirty-four trillion, nine hundred forty-seven billion, four hundred sixty-eight million, three hundred sixty-one thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 3.4947468361728 × 10¹³

Factors of 34947468361728

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 27
• Sum of prime factors: 1070

Divisors of 34947468361728

• Number of divisors d(n): 840
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 32 36 39 48 52 54 62 64 72 78 81 93 96 104 108 117 124 128 144 156 162 186 192 208 216 234 248 256 279 288 312 324 351 372 384 403 416 432 468 496 512 558 576 624 648 702 744 768 806 832 837 864 936 992 1021 1024 1053 1116 1152 1209 1248 1296 1404 1488 1536 1612 1664 1674 1728 1872 1984 2042 2048 2106 2232 2304 2418 2496 2511 2592 2808 2976 3063 3072 3224 3328 3348 3456 3627 3744 3968 4084 4096 4212 4464 4608 4836 4992 5022 5184 5616 5952 6126 6144 6448 6656 6696 6912 7254 7488 7936 8168 8192 8424 8928 9189 9216 9672 9984 10044 10368 10881 11232 11904 12252 12288 12896 13273 13312 13392 13824 14508 14976 15872 16336 16384 16848 17856 18378 18432 19344 19968 20088 20736 21762 22464 23808 24504 24576 25792 26546 26624 26784 27567 27648 29016 29952 31651 31744 32643 32672 32768 33696 35712 36756 36864 38688 39819 39936 40176 41472 43524 44928 47616 49008 49152 51584 53092 53248 53568 55134 55296 58032 59904 63302 63488 65286 65344 65536 67392 71424 73512 73728 77376 79638 79872 80352 82701 82944 87048 89856 94953 95232 98016 98304 103168 106184 106496 107136 110268 110592 116064 119457 119808 126604 126976 130572 130688 131072 134784 142848 147024 147456 154752 159276 159744 160704 165402 165888 174096 179712 189906 190464 196032 196608 206336 212368 212992 214272 220536 221184 232128 238914 239616 253208 253952 261144 261376 262144 269568 284859 285696 294048 294912 309504 318552 319488 321408 330804 331776 348192 358371 359424 379812 380928 392064 393216 411463 412672 424736 425984 428544 441072 442368 464256 477828 479232 506416 507904 522288 522752 524288 539136 569718 571392 588096 589824 619008 637104 638976 642816 661608 663552 696384 716742 718848 759624 761856 784128 786432 822926 825344 849472 851968 854577 857088 882144 884736 928512 955656 958464 1012832 1015808 1044576 1045504 1048576 1075113 1078272 1139436 1142784 1176192 1179648 1234389 1238016 1274208 1277952 1285632 1323216 1327104 1392768 1433484 1437696 1519248 1523712 1568256 1572864 1645852 1650688 1698944 1703936 1709154 1714176 1764288 1769472 1857024 1911312 1916928 2025664 2031616 2089152 2091008 2150226 2156544 2278872 2285568 2352384 2359296 2468778 2476032 2548416 2555904 2563731 2571264 2646432 2654208 2785536 2866968 2875392 3038496 3047424 3136512 3145728 3291704 3301376 3397888 3407872 3418308 3428352 3528576 3538944 3703167 3714048 3822624 3833856 4051328 4063232 4178304 4182016 4300452 4313088 4557744 4571136 4704768 4718592 4937556 4952064 5096832 5111808 5127462 5142528 5292864 5308416 5571072 5733936 5750784 6076992 6094848 6273024 6583408 6602752 6795776 6815744 6836616 6856704 7057152 7077888 7406334 7428096 7645248 7667712 8102656 8126464 8356608 8364032 8600904 8626176 9115488 9142272 9409536 9437184 9875112 9904128 10193664 10223616 10254924 10285056 10585728 10616832 11109501 11142144 11467872 11501568 12153984 12189696 12546048 13166816 13205504 13591552 13631488 13673232 13713408 14114304 14155776 14812668 14856192 15290496 15335424 16205312 16252928 16713216 16728064 17201808 17252352 18230976 18284544 18819072 19750224 19808256 20387328 20447232 20509848 20570112 21171456 21233664 22219002 22284288 22935744 23003136 24307968 24379392 25092096 26333632 26411008 27183104 27346464 27426816 28228608 28311552 29625336 29712384 30580992 30670848 32410624 32505856 33328503 33426432 33456128 34403616 34504704 36461952 36569088 37638144 39500448 39616512 40774656 40894464 41019696 41140224 42342912 42467328 44438004 44568576 45871488 46006272 48615936 48758784 50184192 52667264 52822016 54366208 54692928 54853632 56457216 59250672 59424768 61161984 61341696 64821248 66657006 66852864 66912256 68807232 69009408 72923904 73138176 75276288 79000896 79233024 81549312 82039392 82280448 84685824 84934656 88876008 89137152 91742976 92012544 97231872 97517568 100368384 105334528 105644032 108732416 109385856 109707264 112914432 118501344 118849536 122323968 122683392 129642496 133314012 133705728 133824512 137614464 138018816 145847808 146276352 150552576 158001792 158466048 163098624 164078784 164560896 169371648 177752016 178274304 183485952 184025088 194463744 200736768 210669056 211288064 217464832 218771712 219414528 225828864 237002688 237699072 244647936 259284992 266628024 267411456 267649024 275228928 276037632 291695616 292552704 301105152 316003584 316932096 326197248 328157568 329121792 338743296 355504032 356548608 366971904 368050176 388927488 401473536 421338112 422576128 434929664 437543424 438829056 451657728 474005376 475398144 489295872 518569984 533256048 534822912 535298048 550457856 552075264 583391232 602210304 632007168 633864192 652394496 656315136 658243584 677486592 711008064 713097216 733943808 777854976 802947072 842676224 869859328 875086848 877658112 903315456 948010752 950796288 978591744 1037139968 1066512096 1069645824 1070596096 1100915712 1104150528 1166782464 1204420608 1264014336 1267728384 1304788992 1312630272 1316487168 1354973184 1422016128 1426194432 1467887616 1555709952 1605894144 1685352448 1739718656 1750173696 1806630912 1896021504 1901592576 1957183488 2074279936 2133024192 2139291648 2201831424 2333564928 2408841216 2528028672 2609577984 2625260544 2632974336 2709946368 2844032256 2852388864 2935775232 3111419904 3211788288 3370704896 3479437312 3500347392 3613261824 3792043008 3803185152 3914366976 4148559872 4266048384 4278583296 4403662848 4667129856 4817682432 5056057344 5219155968 5250521088 5419892736 5688064512 5704777728 5871550464 6222839808 6741409792 6958874624 7000694784 7226523648 7584086016 7828733952 8297119744 8532096768 8557166592 8807325696 9334259712 9635364864 10112114688 10438311936 10501042176 10839785472 11376129024 11409555456 11743100928 12445679616 13482819584 13917749248 14001389568 14453047296 15168172032 15657467904 16594239488 17064193536 17114333184 17614651392 18668519424 20224229376 20876623872 21002084352 21679570944 22752258048 23486201856 24891359232 26965639168 28002779136 28906094592 30336344064 31314935808 33188478976 34128387072 34228666368 35229302784 37337038848 40448458752 41753247744 42004168704 43359141888 45504516096 46972403712 49782718464 53931278336 56005558272 60672688128 62629871616 68256774144 70458605568 74674077696 80896917504 84008337408 86718283776 91009032192 93944807424 99565436928 107862556672 112011116544 121345376256 125259743232 136513548288 140917211136 149348155392 161793835008 168016674816 182018064384 187889614848 215725113344 224022233088 242690752512 273027096576 281834422272 298696310784 323587670016 336033349632 364036128768 375779229696 431450226688 448044466176 485381505024 546054193152 563668844544 647175340032 672066699264 728072257536 896088932352 970763010048 1092108386304 1127337689088 1294350680064 1344133398528 1456144515072 1941526020096 2184216772608 2688266797056 2912289030144 3883052040192 4368433545216 5824578060288 8736867090432 11649156120576 17473734180864 34947468361728
• Sum of all divisors σ(n): 116183373358976
• Sum of proper divisors (its aliquot sum) s(n): 81235904997248
• 34947468361728 is an abundant number, because the sum of its proper divisors (81235904997248) is greater than itself. Its abundance is 46288436635520

Bases of 34947468361728

• Binary: 111111100100011010111011100000000000000000000₂
• Hexadecimal: 0x1FC8D7700000
• Base-36: CDYN8CG00

Squares and roots of 34947468361728

• 34947468361728 squared (34947468361728²) is 1221325544893979540255145984
• 34947468361728 cubed (34947468361728³) is 42682235839552560079130857248581958500352
• The square root of 34947468361728 is 5911638.3821854327
• The cube root of 34947468361728 is 32694.2897197013

Scales and comparisons

• 34,947,468,361,728 seconds is equal to 1,111,221 years, 20 weeks, 3 days, 12 hours, 28 minutes, 48 seconds.
• To count from 1 to 34,947,468,361,728 would take you about two million, seven hundred seventy-eight thousand and fifty-three 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 34947468361728 cubic inches would be around 2724.5 feet tall.

Recreational maths with 34947468361728

• 34947468361728 backwards is 82716386474943
• 34947468361728 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34947468361728's digits is 72
• More coming soon!