42838252788096

Names of 42838252788096

• Cardinal: 42838252788096 can be written as Forty-two trillion, eight hundred thirty-eight billion, two hundred fifty-two million, seven hundred eighty-eight thousand and ninety-six.

Scientific notation

• Scientific notation: 4.2838252788096 × 10¹³

Factors of 42838252788096

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 2660

Divisors of 42838252788096

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 29 32 36 38 41 48 57 58 64 72 76 82 87 96 114 116 123 128 144 152 164 171 174 192 228 232 246 261 288 304 328 342 348 369 384 456 464 492 522 551 576 608 656 684 696 738 779 912 928 984 1044 1102 1152 1189 1216 1277 1289 1312 1368 1392 1476 1558 1653 1824 1856 1968 2088 2204 2337 2378 2432 2554 2578 2624 2736 2784 2952 3116 3306 3567 3648 3712 3831 3867 3936 4176 4408 4674 4756 4959 5108 5156 5248 5472 5568 5904 6232 6612 7011 7134 7296 7662 7734 7872 8352 8816 9348 9512 9918 10216 10312 10701 10944 11136 11493 11601 11808 12464 13224 14022 14268 15324 15468 15744 16704 17632 18696 19024 19836 20432 20624 21402 21888 22591 22986 23202 23616 24263 24491 24928 26448 28044 28536 30648 30936 33408 35264 37033 37381 37392 38048 39672 40864 41248 42804 45182 45972 46404 47232 48526 48982 49856 52357 52849 52896 56088 57072 61296 61872 67773 70528 72789 73473 74066 74762 74784 76096 79344 81728 82496 85608 90364 91944 92808 97052 97964 99712 104714 105698 105792 111099 112143 112176 114144 122592 123744 135546 145578 146946 148132 149524 149568 152192 157071 158547 158688 163456 164992 171216 180728 183888 185616 194104 195928 203319 209428 211396 211584 218367 220419 222198 224286 224352 228288 245184 247488 271092 291156 293892 296264 299048 299136 314142 317094 317376 333297 336429 342432 361456 367776 371232 388208 391856 406638 418856 422792 436734 440838 444396 448572 448704 456576 471213 475641 490368 494976 542184 582312 587784 592528 598096 628284 634188 634752 666594 672858 684864 703627 710239 722912 735552 742464 776416 783712 813276 837712 845584 873468 881676 888792 897144 897408 942426 951282 994783 1004131 1084368 1164624 1175568 1185056 1196192 1256568 1268376 1333188 1345716 1369728 1407254 1420478 1445824 1471104 1484928 1518353 1532621 1552832 1567424 1626552 1646053 1675424 1691168 1746936 1763352 1777584 1794288 1884852 1902564 1989566 2008262 2110881 2130717 2168736 2329248 2351136 2370112 2392384 2513136 2536752 2666376 2691432 2814508 2840956 2891648 2984349 3012393 3036706 3065242 3105664 3134848 3253104 3292106 3350848 3382336 3493872 3526704 3555168 3588576 3769704 3805128 3979132 4016524 4221762 4261434 4337472 4555059 4597863 4658496 4702272 4740224 4784768 4938159 5026272 5073504 5332752 5382864 5629016 5681912 5968698 6024786 6073412 6130484 6332643 6392151 6506208 6584212 6701696 6764672 6987744 7053408 7110336 7177152 7539408 7610256 7958264 8033048 8443524 8522868 8674944 8953047 9037179 9110118 9195726 9316992 9404544 9876318 10052544 10147008 10665504 10765728 11258032 11363824 11937396 12049572 12146824 12260968 12665286 12784302 13012416 13168424 13665177 13793589 13975488 14106816 14220672 14354304 14814477 15078816 15220512 15916528 16066096 16887048 17045736 17906094 18074358 18220236 18391452 19752636 20105088 20294016 21331008 21531456 22516064 22727648 23874792 24099144 24293648 24521936 25330572 25568604 26024832 26336848 27330354 27587178 27950976 28213632 28848707 29119799 29628954 30157632 30441024 31275007 31833056 32132192 33774096 34091472 35812188 36148716 36440472 36782904 39505272 42662016 43062912 45032128 45455296 47735537 47749584 48198288 48587296 49043872 50661144 51137208 52673696 54660708 55174356 57697414 58239598 59257908 60315264 60882048 62550014 63666112 64264384 67488173 67548192 68182944 71624376 72297432 72880944 73565808 79010544 86546121 87359397 90064256 90910592 93825021 95471074 95499168 96396576 97174592 98087744 101322288 102274416 105347392 109321416 110348712 115394828 116479196 118515816 125100028 127332224 128528768 134976346 135096384 136365888 143206611 143248752 144594864 145761888 147131616 158021088 173092242 174718794 187650042 190942148 190998336 192793152 194349184 196175488 202464519 202644576 204548832 210694784 218642832 220697424 230789656 232958392 237031632 250200056 259638363 262078191 269952692 270192768 272731776 281475063 286413222 286497504 289189728 291523776 294263232 316042176 346184484 349437588 375300084 381884296 381996672 385586304 404929038 405289152 409097664 429619833 437285664 441394848 461579312 465916784 474063264 500400112 519276726 524156382 539905384 562950126 572826444 572995008 578379456 583047552 588526464 607393557 632084352 692368968 698875176 750600168 763768592 809858076 810578304 818195328 859239666 874571328 882789696 906975203 923158624 931833568 948126528 1000800224 1038553452 1048312764 1079810768 1125900252 1145652888 1145990016 1156758912 1214787114 1282275287 1384737936 1397750352 1501200336 1527537184 1619716152 1718479332 1749142656 1765579392 1813950406 1846317248 1863667136 1896253056 1957157017 2001600448 2077106904 2096625528 2159621536 2251800504 2291305776 2429574228 2564550574 2720925609 2769475872 2795500704 3002400672 3055074368 3239432304 3436958664 3627900812 3692634496 3727334272 3846825861 3914314034 4003200896 4154213808 4193251056 4319243072 4503601008 4582611552 4859148456 5129101148 5441851218 5538951744 5591001408 5871471051 6004801344 6110148736 6478864608 6873917328 7255801624 7693651722 7828628068 8162776827 8308427616 8386502112 8638486144 9007202016 9165223104 9718296912 10258202296 10883702436 11077903488 11182002816 11540477583 11742942102 12009602688 12957729216 13747834656 14511603248 15387303444 15657256136 16325553654 16616855232 16773004224 17614413153 18014404032 18330446208 19436593824 20516404592 21767404872 23080955166 23485884204 25915458432 27495669312 29023206496 30774606888 31314512272 32651107308 33233710464 33546008448 35228826306 36028808064 37185983323 38873187648 41032809184 43534809744 46161910332 46971768408 54991338624 58046412992 61549213776 62629024544 65302214616 70457652612 74371966646 77746375296 82065618368 87069619488 92323820664 93943536816 111557949969 116092825984 123098427552 125258049088 130604429232 140915305224 148743933292 164131236736 174139238976 184647641328 187887073632 223115899938 246196855104 250516098176 261208858464 281830610448 297487866584 334673849907 348278477952 369295282656 375774147264 446231799876 492393710208 522417716928 563661220896 594975733168 669347699814 738590565312 751548294528 892463599752 1044835433856 1127322441792 1189951466336 1338695399628 1477181130624 1784927199504 2254644883584 2379902932672 2677390799256 3569854399008 4759805865344 5354781598512 7139708798016 10709563197024 14279417596032 21419126394048 42838252788096
• Sum of all divisors σ(n): 137722417560000
• Sum of proper divisors (its aliquot sum) s(n): 94884164771904
• 42838252788096 is an abundant number, because the sum of its proper divisors (94884164771904) is greater than itself. Its abundance is 52045911983808

Bases of 42838252788096

• Binary: 1001101111011000001110110101110001100110000000₂
• Hexadecimal: 0x26F60ED71980
• Base-36: F6NMDNQ80

Squares and roots of 42838252788096

• 42838252788096 squared (42838252788096²) is 1835115901936814717479305216
• 42838252788096 cubed (42838252788096³) is 78613158902624058797483213214492955508736
• The square root of 42838252788096 is 6545093.7952099663
• The cube root of 42838252788096 is 34989.9979005953

Scales and comparisons

• 42,838,252,788,096 seconds is equal to 1,362,123 years, 48 weeks, 2 days, 23 hours, 21 minutes, 36 seconds.
• To count from 1 to 42,838,252,788,096 would take you about three million, four hundred five thousand, three hundred nine 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 42838252788096 cubic inches would be around 2915.8 feet tall.

Recreational maths with 42838252788096

• 42838252788096 backwards is 69088725283824
• 42838252788096 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 42838252788096's digits is 72
• More coming soon!