34128648208032

Names of 34128648208032

• Cardinal: 34128648208032 can be written as Thirty-four trillion, one hundred twenty-eight billion, six hundred forty-eight million, two hundred eight thousand and thirty-two.

Scientific notation

• Scientific notation: 3.4128648208032 × 10¹³

Factors of 34128648208032

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 469

Divisors of 34128648208032

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 19 21 24 28 29 32 38 42 48 56 57 58 76 84 87 96 112 114 116 133 152 168 174 203 224 228 232 266 304 336 348 361 399 406 409 456 464 532 551 608 609 672 696 722 798 812 818 841 912 928 1064 1083 1102 1218 1227 1392 1444 1596 1624 1636 1653 1682 1824 2128 2166 2204 2436 2454 2523 2527 2784 2863 2888 3192 3248 3272 3306 3364 3857 4256 4332 4408 4872 4908 5046 5054 5726 5776 5887 6384 6496 6544 6612 6728 7581 7714 7771 8589 8664 8816 9744 9816 10092 10108 10469 11452 11552 11571 11774 11861 12768 13088 13224 13456 15162 15428 15542 15979 17178 17328 17632 17661 19488 19632 20184 20216 20938 22904 23142 23313 23548 23722 26448 26912 30324 30856 31084 31407 31958 34356 34656 35322 35583 39264 40368 40432 41876 45808 46284 46626 47096 47444 47937 52896 54397 60648 61712 62168 62814 63916 68712 70644 71166 73283 80736 80864 83027 83752 91616 92568 93252 94192 94888 95874 108794 111853 121296 123424 124336 125628 127832 137424 141288 142332 146566 147649 163191 166054 167281 167504 185136 186504 188384 189776 191748 217588 219849 223706 225359 242592 248672 249081 251256 255664 274848 282576 284664 293132 295298 303601 326382 332108 334562 335008 335559 343969 370272 373008 379552 383496 435176 439698 442947 447412 450718 498162 501843 502512 511328 565152 569328 586264 590596 607202 652764 664216 669124 671118 676077 687938 746016 766992 870352 879396 885894 894824 901436 910803 996324 1003686 1005024 1031907 1033543 1138656 1170967 1172528 1181192 1214404 1305528 1328432 1338248 1342236 1352154 1375876 1533984 1577513 1740704 1758792 1771788 1789648 1802872 1821606 1992648 2007372 2063814 2067086 2125207 2341934 2345056 2362384 2407783 2428808 2611056 2656864 2676496 2684472 2704308 2751752 3100629 3155026 3178339 3512901 3517584 3543576 3579296 3605744 3643212 3985296 4014744 4127628 4134172 4250414 4281821 4683868 4724768 4732539 4815566 4851149 4857616 5222112 5352992 5368944 5408616 5503504 6201258 6310052 6356678 6375621 6535411 7025802 7035168 7087152 7211488 7223349 7286424 7970592 8029488 8255256 8268344 8500828 8563642 9367736 9465078 9535017 9631132 9702298 9715232 10737888 10817232 11007008 12402516 12620104 12713356 12751242 12845463 13070822 14051604 14174304 14446698 14553447 14572848 16058976 16510512 16536688 17001656 17127284 18735472 18930156 19070034 19262264 19404596 19606233 21634464 22248373 24805032 25240208 25426712 25502484 25690926 26141644 28103208 28893396 29106894 29145696 29972747 33021024 33073376 33958043 34003312 34254568 37470944 37860312 38140068 38524528 38809192 39212466 44496746 45747877 49610064 50480416 50853424 51004968 51381852 52283288 56206416 57786792 58213788 59945494 60388441 66745119 67916086 68006624 68509136 75720624 76280136 77049056 77618384 78424932 88993492 89918241 91495754 92171831 99220128 101706848 101874129 102009936 102763704 104566576 112412832 115573584 116427576 119890988 120776882 124172809 133490238 135832172 137018272 137243631 140683321 151441248 152560272 155236768 156849864 177986984 179836482 181165323 182991508 184343662 203748258 204019872 205527408 209133152 231147168 232855152 239781976 241553764 248345618 266980476 271664344 274487262 276515493 281366642 305120544 313699728 355973968 359672964 362330646 365983016 368687324 372518427 407496516 411054816 422049963 422719087 465710304 479563952 483107528 496691236 533960952 543328688 548974524 553030986 562733284 627399456 645202817 711947936 719345928 724661292 731966032 737374648 745036854 814993032 844099926 845438174 869209663 959127904 966215056 984783247 993382472 1067921904 1086657376 1097949048 1106061972 1125466568 1268157261 1290405634 1438691856 1449322584 1463932064 1474749296 1490073708 1629986064 1688199852 1690876348 1738419326 1751264789 1932430112 1935608451 1969566494 1986764944 2135843808 2195898096 2212123944 2250933136 2536314522 2580811268 2607628989 2672983099 2877383712 2898645168 2949498592 2954349741 2980147416 3259972128 3376399704 3381752696 3476838652 3502529578 3871216902 3939132988 3973529888 4391796192 4424247888 4501866272 5072629044 5161622536 5215257978 5253794367 5345966198 5797290336 5908699482 5960294832 6752799408 6763505392 6953677304 7005059156 7742433804 7878265976 8018949297 8848495776 10145258088 10323245072 10430515956 10507588734 10691932396 11817398964 11920589664 12258853523 13505598816 13527010784 13907354608 14010118312 15484867608 15756531952 16037898594 18710881693 20290516176 20646490144 20861031912 21015177468 21383864792 23634797928 24517707046 27814709216 28020236624 30969735216 31513063904 32075797188 36776560569 37421763386 40581032352 41722063824 42030354936 42767729584 47269595856 49035414092 50786678881 56040473248 56132645079 61939470432 64151594376 73553121138 74843526772 83444127648 84060709872 85535459168 94539191712 98070828184 101573357762 112265290158 128303188752 147106242276 149687053544 152360036643 168121419744 196141656368 203146715524 224530580316 256606377504 294212484552 299374107088 304720073286 355506752167 392283312736 406293431048 449061160632 588424969104 598748214176 609440146572 711013504334 812586862096 898122321264 1066520256501 1176849938208 1218880293144 1422027008668 1625173724192 1796244642528 2133040513002 2437760586288 2844054017336 4266081026004 4875521172576 5688108034672 8532162052008 11376216069344 17064324104016 34128648208032
• Sum of all divisors σ(n): 112187226898656
• Sum of proper divisors (its aliquot sum) s(n): 78058578690624
• 34128648208032 is an abundant number, because the sum of its proper divisors (78058578690624) is greater than itself. Its abundance is 43929930482592

Bases of 34128648208032

• Binary: 111110000101000110001111100111111111010100000₂
• Hexadecimal: 0x1F0A31F3FEA0
• Base-36: C3IHFYTUO

Squares and roots of 34128648208032

• 34128648208032 squared (34128648208032²) is 1164764628507605844749313024
• 34128648208032 cubed (34128648208032³) is 39751842251495160395886211532800639008768
• The square root of 34128648208032 is 5841972.9722099879
• The cube root of 34128648208032 is 32436.9264148115

Scales and comparisons

• 34,128,648,208,032 seconds is equal to 1,085,185 years, 23 weeks, 1 day, 9 hours, 47 minutes, 12 seconds.
• To count from 1 to 34,128,648,208,032 would take you about two million, seven hundred twelve thousand, nine 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 34128648208032 cubic inches would be around 2703.1 feet tall.

Recreational maths with 34128648208032

• 34128648208032 backwards is 23080284682143
• The number of decimal digits it has is: 14
• The sum of 34128648208032's digits is 51
• More coming soon!