34678882427328

Names of 34678882427328

• Cardinal: 34678882427328 can be written as Thirty-four trillion, six hundred seventy-eight billion, eight hundred eighty-two million, four hundred twenty-seven thousand, three hundred twenty-eight.

Scientific notation

• Scientific notation: 3.4678882427328 × 10¹³

Factors of 34678882427328

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 99841

Divisors of 34678882427328

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 73 89 93 96 108 124 144 146 178 186 192 216 219 248 267 279 288 292 356 372 432 438 496 534 558 576 584 657 712 744 801 837 864 876 992 1068 1116 1168 1314 1424 1488 1602 1674 1728 1752 1971 1984 2136 2232 2263 2336 2403 2628 2759 2848 2976 3204 3348 3504 3942 4272 4464 4526 4672 4806 5256 5518 5696 5952 6408 6497 6696 6789 7008 7884 8277 8544 8928 9052 9612 10512 11036 12816 12994 13392 13578 14016 15768 16554 17088 17856 18104 19224 19491 20367 21024 22072 24831 25632 25988 26784 27156 31536 33108 36208 38448 38982 40734 42048 44144 49662 51264 51976 53568 54312 58473 61101 63072 66216 72416 74493 76896 77964 81468 88288 99324 99643 103952 108624 116946 122202 126144 132432 144832 148986 153792 155928 162936 175419 176576 198648 199286 201407 207904 217248 233892 244404 264864 297972 298929 311856 325872 350838 397296 398572 402814 415808 434496 467784 488808 529728 595944 597858 604221 623712 651744 701676 794592 797144 805628 896787 935568 977616 1191888 1195716 1208442 1247424 1303488 1403352 1589184 1594288 1611256 1793574 1812663 1871136 1955232 2383776 2391432 2416884 2690361 2806704 3088933 3188576 3222512 3587148 3625326 3742272 3910464 4767552 4782864 4833768 5380722 5437989 5613408 6177866 6377152 6445024 7174296 7250652 7273939 8868227 9266799 9565728 9667536 10761444 10875978 11226816 12355732 12890048 14348592 14501304 14547878 17736454 18533598 19131456 19335072 21522888 21751956 21821817 24711464 26604681 27800397 28697184 29002608 29095756 35472908 37067196 38670144 43045776 43503912 43643634 49422928 53209362 55600794 57394368 58005216 58191512 65465451 70945816 74134392 79814043 83401191 86091552 87007824 87287268 98845856 106418724 111201588 116010432 116383024 130930902 141891632 148268784 159628086 166802382 172183104 174015648 174574536 196396353 197691712 212837448 222403176 225492109 232766048 239442129 261861804 274915037 283783264 296537568 319256172 333604764 348031296 349149072 392792706 425674896 444806352 450984218 465532096 478884258 523723608 549830074 567566528 593075136 638512344 647380571 667209528 676476327 698298144 785585412 824745111 851349792 889612704 901968436 957768516 1047447216 1099660148 1277024688 1294761142 1334419056 1352952654 1396596288 1571170824 1649490222 1702699584 1779225408 1803936872 1915537032 1942141713 2029428981 2094894432 2199320296 2474235333 2554049376 2589522284 2668838112 2705905308 3142341648 3298980444 3607873744 3831074064 3884283426 4058857962 4189788864 4398640592 4948470666 5108098752 5179044568 5337676224 5411810616 5826425139 6088286943 6284683296 6597960888 7215747488 7422705999 7662148128 7768566852 8117715924 8797281184 9896941332 10358089136 10823621232 11652850278 12176573886 12569366592 13195921776 14431494976 14845411998 15324296256 15537133704 16235431848 17479275417 17594562368 19793882664 20068797701 20716178272 21647242464 23305700556 24353147772 26391843552 29690823996 31074267408 32470863696 34958550834 39587765328 40137595402 41432356544 43294484928 46611401112 48706295544 52783687104 59381647992 60206393103 62148534816 64941727392 69917101668 79175530656 80275190804 93222802224 97412591088 118763295984 120412786206 124297069632 129883454784 139834203336 158351061312 160550381608 180619179309 186445604448 194825182176 237526591968 240825572412 279668406672 321100763216 361238358618 372891208896 389650364352 475053183936 481651144824 541857537927 559336813344 642201526432 722476717236 963302289648 1083715075854 1118673626688 1284403052864 1444953434472 1926604579296 2167430151708 2889906868944 3853209158592 4334860303416 5779813737888 8669720606832 11559627475776 17339441213664 34678882427328
• Sum of all divisors σ(n): 107879536742400
• Sum of proper divisors (its aliquot sum) s(n): 73200654315072
• 34678882427328 is an abundant number, because the sum of its proper divisors (73200654315072) is greater than itself. Its abundance is 38521771887744

Bases of 34678882427328

• Binary: 111111000101001001110011101111110000111000000₂
• Hexadecimal: 0x1F8A4E77E1C0
• Base-36: CAJ9B7QO0

Squares and roots of 34678882427328

• 34678882427328 squared (34678882427328²) is 1202624886408438757201219584
• 34678882427328 cubed (34678882427328³) is 41705687039936938924353061446907850391552
• The square root of 34678882427328 is 5888877.8580751699
• The cube root of 34678882427328 is 32610.3177935277

Scales and comparisons

• 34,678,882,427,328 seconds is equal to 1,102,681 years, 10 weeks, 28 minutes, 48 seconds.
• To count from 1 to 34,678,882,427,328 would take you about two million, seven hundred fifty-six thousand, seven hundred two 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 34678882427328 cubic inches would be around 2717.5 feet tall.

Recreational maths with 34678882427328

• 34678882427328 backwards is 82372428887643
• 34678882427328 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34678882427328's digits is 72
• More coming soon!