34021638144

Names of 34021638144

• Cardinal: 34021638144 can be written as Thirty-four billion, twenty-one million, six hundred thirty-eight thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 3.4021638144 × 10¹⁰

Factors of 34021638144

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 64

Divisors of 34021638144

• Number of divisors d(n): 680
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 29 32 34 36 39 48 51 52 54 58 64 68 72 78 81 87 96 102 104 108 116 117 128 136 144 153 156 162 174 192 204 208 216 221 232 234 256 261 272 288 306 312 324 348 351 377 384 408 416 432 442 459 464 468 493 512 522 544 576 612 624 648 663 696 702 754 768 783 816 832 864 884 918 928 936 986 1024 1044 1053 1088 1131 1152 1224 1248 1296 1326 1377 1392 1404 1479 1508 1536 1566 1632 1664 1728 1768 1836 1856 1872 1972 1989 2048 2088 2106 2176 2262 2304 2349 2448 2496 2592 2652 2754 2784 2808 2958 3016 3072 3132 3264 3328 3393 3456 3536 3672 3712 3744 3944 3978 4096 4176 4212 4352 4437 4524 4608 4698 4896 4992 5184 5304 5508 5568 5616 5916 5967 6032 6144 6264 6409 6528 6656 6786 6912 7072 7344 7424 7488 7888 7956 8192 8352 8424 8704 8874 9048 9216 9396 9792 9984 10179 10368 10608 11016 11136 11232 11832 11934 12064 12288 12528 12818 13056 13311 13312 13572 13824 14144 14688 14848 14976 15776 15912 16384 16704 16848 17408 17748 17901 18096 18432 18792 19227 19584 19968 20358 20736 21216 22032 22272 22464 23664 23868 24128 24576 25056 25636 26112 26622 26624 27144 27648 28288 29376 29696 29952 30537 31552 31824 32768 33408 33696 34816 35496 35802 36192 36864 37584 38454 39168 39933 39936 40716 41472 42432 44064 44544 44928 47328 47736 48256 49152 50112 51272 52224 53244 53248 54288 55296 56576 57681 58752 59392 59904 61074 63104 63648 65536 66816 67392 69632 70992 71604 72384 73728 75168 76908 78336 79866 79872 81432 82944 84864 88128 89088 89856 94656 95472 96512 98304 100224 102544 104448 106488 106496 108576 110592 113152 115362 117504 118784 119808 122148 126208 127296 133632 134784 139264 141984 143208 144768 147456 150336 153816 156672 159732 159744 162864 165888 169728 173043 176256 178176 179712 189312 190944 193024 196608 200448 205088 208896 212976 212992 217152 221184 226304 230724 235008 237568 239616 244296 252416 254592 267264 269568 278528 283968 286416 289536 294912 300672 307632 313344 319464 319488 325728 331776 339456 346086 352512 356352 359424 378624 381888 386048 400896 410176 417792 425952 425984 434304 442368 452608 461448 470016 475136 479232 488592 504832 509184 519129 534528 539136 557056 567936 572832 579072 589824 601344 615264 626688 638928 638976 651456 663552 678912 692172 705024 712704 718848 757248 763776 772096 801792 820352 835584 851904 851968 868608 884736 905216 922896 940032 950272 958464 977184 1009664 1018368 1038258 1069056 1078272 1114112 1135872 1145664 1158144 1202688 1230528 1253376 1277856 1277952 1302912 1327104 1357824 1384344 1410048 1425408 1437696 1514496 1527552 1544192 1603584 1640704 1671168 1703808 1737216 1769472 1810432 1845792 1880064 1900544 1916928 1954368 2019328 2036736 2076516 2138112 2156544 2271744 2291328 2316288 2405376 2461056 2506752 2555712 2555904 2605824 2654208 2715648 2768688 2820096 2850816 2875392 3028992 3055104 3088384 3207168 3281408 3342336 3407616 3474432 3620864 3691584 3760128 3833856 3908736 4038656 4073472 4153032 4276224 4313088 4543488 4582656 4632576 4810752 4922112 5013504 5111424 5211648 5308416 5431296 5537376 5640192 5701632 5750784 6057984 6110208 6176768 6414336 6562816 6815232 6948864 7241728 7383168 7520256 7667712 7817472 8077312 8146944 8306064 8552448 8626176 9086976 9165312 9265152 9621504 9844224 10027008 10222848 10423296 10862592 11074752 11280384 11501568 12115968 12220416 12353536 12828672 13125632 13630464 13897728 14483456 14766336 15040512 15634944 16154624 16293888 16612128 17104896 17252352 18173952 18330624 18530304 19243008 19688448 20445696 20846592 21725184 22149504 22560768 23003136 24231936 24440832 24707072 25657344 26251264 27260928 27795456 29532672 30081024 31269888 32309248 32587776 33224256 34504704 36347904 36661248 37060608 38486016 39376896 40891392 41693184 43450368 44299008 45121536 48463872 48881664 51314688 52502528 54521856 55590912 59065344 62539776 65175552 66448512 69009408 72695808 73322496 74121216 76972032 78753792 81782784 83386368 88598016 90243072 96927744 97763328 105005056 109043712 111181824 118130688 125079552 130351104 132897024 145391616 146644992 153944064 157507584 163565568 166772736 177196032 195526656 210010112 218087424 222363648 236261376 250159104 265794048 290783232 293289984 315015168 327131136 333545472 354392064 391053312 420020224 436174848 472522752 500318208 531588096 586579968 630030336 654262272 667090944 708784128 872349696 945045504 1000636416 1063176192 1173159936 1260060672 1308524544 1417568256 1890091008 2001272832 2126352384 2617049088 2835136512 3780182016 4252704768 5670273024 8505409536 11340546048 17010819072 34021638144
• Sum of all divisors σ(n): 119898507960
• Sum of proper divisors (its aliquot sum) s(n): 85876869816
• 34021638144 is an abundant number, because the sum of its proper divisors (85876869816) is greater than itself. Its abundance is 51855231672

Bases of 34021638144

• Binary: 11111101011110110010000000000000000₂
• Hexadecimal: 0x7EBD90000
• Base-36: FMNLS00

Squares and roots of 34021638144

• 34021638144 squared (34021638144²) is 1157471862001275764736
• 34021638144 cubed (34021638144³) is 39379088850869307734205067689984
• The square root of 34021638144 is 184449.5544695081
• The cube root of 34021638144 is 3240.2989024655

Scales and comparisons

• 34,021,638,144 seconds is equal to 1,081 years, 40 weeks, 4 days, 23 hours, 2 minutes, 24 seconds.
• To count from 1 to 34,021,638,144 would take you about two thousand, one hundred sixty-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 34021638144 cubic inches would be around 270 feet tall.

Recreational maths with 34021638144

• 34021638144 backwards is 44183612043
• 34021638144 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 34021638144's digits is 36
• More coming soon!