34371916627968

Names of 34371916627968

• Cardinal: 34371916627968 can be written as Thirty-four trillion, three hundred seventy-one billion, nine hundred sixteen million, six hundred twenty-seven thousand, nine hundred sixty-eight.

Scientific notation

• Scientific notation: 3.4371916627968 × 10¹³

Factors of 34371916627968

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 8244

Divisors of 34371916627968

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 27 31 32 34 36 48 51 54 62 64 68 72 81 93 96 102 108 124 128 136 144 153 162 186 192 204 216 243 248 256 272 279 288 306 324 372 384 408 432 459 486 496 512 527 544 558 576 612 648 744 768 816 837 864 918 972 992 1024 1054 1088 1116 1152 1224 1296 1377 1488 1536 1581 1632 1674 1728 1836 1944 1984 2048 2108 2176 2232 2304 2448 2511 2592 2754 2976 3072 3162 3264 3348 3456 3672 3888 3968 4096 4131 4216 4352 4464 4608 4743 4896 5022 5184 5508 5952 6144 6324 6528 6696 6912 7344 7533 7776 7936 8191 8192 8262 8432 8704 8928 9216 9486 9792 10044 10368 11016 11904 12288 12648 13056 13392 13824 14229 14688 15066 15552 15872 16382 16384 16524 16864 17408 17856 18432 18972 19584 20088 20736 22032 23808 24573 24576 25296 26112 26784 27648 28458 29376 30132 31104 31744 32764 32768 33048 33728 34816 35712 36864 37944 39168 40176 41472 42687 44064 47616 49146 49152 50592 52224 53568 55296 56916 58752 60264 62208 63488 65528 66096 67456 69632 71424 73719 73728 75888 78336 80352 82944 85374 88128 95232 98292 98304 101184 104448 107136 110592 113832 117504 120528 124416 126976 128061 131056 132192 134912 139247 139264 142848 147438 147456 151776 156672 160704 165888 170748 176256 190464 196584 202368 208896 214272 221157 221184 227664 235008 241056 248832 253921 253952 256122 262112 264384 269824 278494 278528 285696 294876 294912 303552 313344 321408 331776 341496 352512 380928 393168 404736 417741 417792 428544 442314 442368 455328 470016 482112 497664 507842 507904 512244 524224 528768 539648 556988 557056 571392 589752 607104 626688 642816 663471 663552 682992 705024 761763 761856 786336 809472 835482 835584 857088 884628 884736 910656 940032 964224 995328 1015684 1015808 1024488 1048448 1057536 1079296 1113976 1142784 1179504 1214208 1253223 1253376 1285632 1326942 1327104 1365984 1410048 1523526 1523712 1572672 1618944 1670964 1671168 1714176 1769256 1821312 1880064 1928448 1990413 1990656 2031368 2048976 2096896 2115072 2158592 2227952 2285289 2285568 2359008 2428416 2506446 2506752 2571264 2653884 2654208 2731968 2820096 3047052 3047424 3145344 3237888 3341928 3428352 3538512 3642624 3759669 3760128 3856896 3980826 3981312 4062736 4097952 4193792 4230144 4316657 4317184 4455904 4570578 4571136 4718016 4856832 5012892 5013504 5142528 5307768 5463936 5640192 6094104 6290688 6475776 6683856 6855867 6856704 7077024 7285248 7519338 7520256 7713792 7961652 7962624 8125472 8195904 8387584 8460288 8633314 8634368 8911808 9141156 9142272 9436032 9713664 10025784 10285056 10615536 10927872 11279007 11280384 12188208 12581376 12949971 12951552 13367712 13711734 13713408 14154048 14570496 15038676 15040512 15427584 15923304 16250944 16391808 16775168 16920576 17266628 17268736 17823616 18282312 18872064 19427328 20051568 20567601 20570112 21231072 21855744 22558014 22560768 24376416 25162752 25899942 25903104 26735424 27423468 27426816 28308096 29140992 30077352 30855168 31846608 32501888 32783616 33550336 33837021 33841152 34533256 35647232 36564624 37744128 38849913 38854656 40103136 41135202 41140224 42462144 43711488 45116028 45121536 48752832 50325504 51799884 51806208 53470848 54846936 56616192 58281984 60154704 61702803 61710336 63693216 65003776 65567232 67100672 67674042 67682304 69066512 71294464 73129248 75488256 77699826 77709312 80206272 82270404 82280448 84924288 87422976 90232056 97505664 100651008 103599768 106941696 109693872 113232384 116549739 116563968 120309408 123405606 123420672 127386432 130007552 131134464 134201344 135348084 135364608 138133024 142588928 146258496 150976512 155399652 155418624 160412544 164540808 169848576 174845952 180464112 195011328 201302016 207199536 213883392 219387744 226464768 233099478 233127936 240618816 246811212 246841344 254772864 260015104 262268928 268402688 270696168 276266048 285177856 292516992 301953024 310799304 320825088 329081616 339697152 349649217 349691904 360928224 390022656 402604032 414399072 427766784 438775488 452929536 466198956 466255872 481237632 493622424 509545728 520030208 524537856 541392336 552532096 570355712 585033984 603906048 621598608 641650176 658163232 679394304 699298434 699383808 721856448 780045312 805208064 828798144 855533568 877550976 905859072 932397912 962475264 987244848 1019091456 1040060416 1048947651 1049075712 1082784672 1105064192 1140711424 1170067968 1207812096 1243197216 1283300352 1316326464 1358788608 1398596868 1398767616 1443712896 1560090624 1657596288 1711067136 1755101952 1811718144 1864795824 1924950528 1974489696 2038182912 2080120832 2097895302 2098151424 2165569344 2210128384 2281422848 2340135936 2415624192 2486394432 2566600704 2632652928 2717577216 2797193736 2887425792 3120181248 3315192576 3422134272 3510203904 3623436288 3729591648 3849901056 3948979392 4076365824 4160241664 4195790604 4196302848 4331138688 4420256768 4562845696 4680271872 4972788864 5133201408 5265305856 5435154432 5594387472 5774851584 6240362496 6630385152 6844268544 7020407808 7246872576 7459183296 7699802112 7897958784 8152731648 8320483328 8391581208 8662277376 8840513536 9360543744 9945577728 10266402816 10530611712 10870308864 11188774944 11549703168 12480724992 13260770304 13688537088 14040815616 14918366592 15399604224 15795917568 16305463296 16783162416 17324554752 17681027072 18721087488 19891155456 20532805632 21061223424 21740617728 22377549888 23099406336 24961449984 26521540608 28081631232 29836733184 30799208448 31591835136 32610926592 33566324832 34649109504 35362054144 37442174976 39782310912 41065611264 42122446848 44755099776 46198812672 53043081216 56163262464 59673466368 61598416896 63183670272 65221853184 67132649664 69298219008 70724108288 74884349952 79564621824 84244893696 89510199552 92397625344 106086162432 112326524928 119346932736 123196833792 126367340544 134265299328 138596438016 141448216576 159129243648 168489787392 179020399104 184795250688 212172324864 224653049856 238693865472 252734681088 268530598656 277192876032 318258487296 336979574784 358040798208 369590501376 424344649728 477387730944 505469362176 537061197312 554385752064 636516974592 673959149568 716081596416 954775461888 1010938724352 1074122394624 1108771504128 1273033949184 1432163192832 1909550923776 2021877448704 2148244789248 2864326385664 3819101847552 4296489578496 5728652771328 8592979156992 11457305542656 17185958313984 34371916627968
• Sum of all divisors σ(n): 112560785326080
• Sum of proper divisors (its aliquot sum) s(n): 78188868698112
• 34371916627968 is an abundant number, because the sum of its proper divisors (78188868698112) is greater than itself. Its abundance is 43816952070144

Bases of 34371916627968

• Binary: 111110100001011010101111000011000000000000000₂
• Hexadecimal: 0x1F42D5E18000
• Base-36: C6M8NPC00

Squares and roots of 34371916627968

• 34371916627968 squared (34371916627968²) is 1181428652679983087719809024
• 34371916627968 cubed (34371916627968³) is 40607967151808941738669526938203017183232
• The square root of 34371916627968 is 5862756.7430320695
• The cube root of 34371916627968 is 32513.8139707511

Scales and comparisons

• 34,371,916,627,968 seconds is equal to 1,092,920 years, 32 weeks, 5 days, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 34,371,916,627,968 would take you about two million, seven hundred thirty-two thousand, three hundred one 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 34371916627968 cubic inches would be around 2709.5 feet tall.

Recreational maths with 34371916627968

• 34371916627968 backwards is 86972661917343
• 34371916627968 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34371916627968's digits is 72
• More coming soon!