2004401946624

Names of 2004401946624

• Cardinal: 2004401946624 can be written as Two trillion, four billion, four hundred one million, nine hundred forty-six thousand, six hundred twenty-four.

Scientific notation

• Scientific notation: 2.004401946624 × 10¹²

Factors of 2004401946624

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 223

Divisors of 2004401946624

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 14 16 19 21 22 24 28 32 33 38 42 44 48 49 56 57 64 66 76 77 84 88 96 98 112 114 121 128 132 133 147 152 154 168 176 181 192 196 209 224 228 231 242 256 264 266 294 304 308 336 352 362 363 384 392 399 418 448 456 462 484 512 528 532 539 543 588 608 616 627 672 704 724 726 768 784 798 836 847 896 912 924 931 968 1024 1056 1064 1078 1086 1176 1216 1232 1254 1267 1344 1408 1448 1452 1463 1536 1568 1596 1617 1672 1694 1792 1824 1848 1862 1936 1991 2048 2112 2128 2156 2172 2299 2352 2432 2464 2508 2534 2541 2688 2793 2816 2896 2904 2926 3072 3136 3192 3234 3344 3388 3439 3584 3648 3696 3724 3801 3872 3982 4096 4224 4256 4312 4344 4389 4598 4704 4864 4928 5016 5068 5082 5376 5586 5632 5792 5808 5852 5929 5973 6144 6272 6384 6468 6688 6776 6878 6897 7168 7296 7392 7448 7602 7744 7964 8192 8448 8512 8624 8688 8778 8869 9196 9408 9728 9856 10032 10136 10164 10241 10317 10752 11172 11264 11584 11616 11704 11858 11946 12288 12544 12768 12936 13376 13552 13756 13794 13937 14336 14592 14784 14896 15204 15488 15928 16093 16384 16896 17024 17248 17376 17556 17738 17787 18392 18816 19456 19712 20064 20272 20328 20482 20634 21504 21901 22344 22528 23168 23232 23408 23716 23892 24073 24576 25088 25536 25872 26607 26752 27104 27512 27588 27874 28672 29184 29568 29792 30408 30723 30976 31856 32186 32768 33792 34048 34496 34752 35112 35476 35574 36784 37632 37829 38912 39424 40128 40544 40656 40964 41268 41811 43008 43802 44688 45056 46336 46464 46816 47432 47784 48146 48279 49152 50176 51072 51744 53214 53504 54208 55024 55176 55748 57344 58368 59136 59584 60816 61446 61952 63712 64372 65703 67584 68096 68992 69504 70224 70952 71148 72219 73568 75264 75658 77824 78848 80256 81088 81312 81928 82536 83622 86016 87604 89376 90112 92672 92928 93632 94864 95568 96292 96558 97559 98304 100352 102144 103488 106428 107008 108416 110048 110352 111496 112651 113487 114688 116736 118272 119168 121632 122892 123904 127424 128744 131406 135168 136192 137984 139008 140448 141904 142296 144438 147136 150528 151316 153307 155648 157696 160512 162176 162624 163856 165072 167244 168511 172032 175208 178752 180224 185344 185856 187264 189728 191136 192584 193116 195118 200704 204288 206976 212856 214016 216832 220096 220704 222992 225302 226974 229376 233472 236544 238336 243264 245784 247808 254848 257488 262812 264803 270336 272384 275968 278016 280896 283808 284592 288876 292677 294272 301056 302632 306614 311296 315392 321024 324352 325248 327712 330144 334488 337022 337953 344064 350416 357504 360448 370688 371712 374528 379456 382272 385168 386232 390236 401408 408576 413952 416119 425712 428032 433664 440192 441408 445984 450604 453948 459921 466944 473088 476672 486528 491568 495616 505533 509696 514976 525624 529606 540672 544768 551936 556032 561792 567616 569184 577752 585354 588544 602112 605264 613228 622592 630784 642048 648704 650496 655424 660288 668976 674044 675906 688128 700832 715008 741376 743424 749056 758912 764544 770336 772464 780472 794409 802816 817152 827904 832238 851424 856064 867328 880384 882816 891968 901208 907896 919842 933888 946176 953344 973056 983136 991232 1011066 1019392 1029952 1051248 1059212 1073149 1081344 1089536 1103872 1112064 1123584 1135232 1138368 1155504 1170708 1177088 1204224 1210528 1226456 1248357 1261568 1284096 1297408 1300992 1310848 1320576 1337952 1348088 1351812 1401664 1430016 1482752 1486848 1498112 1517824 1529088 1540672 1544928 1560944 1588818 1605632 1634304 1655808 1664476 1702848 1712128 1734656 1760768 1765632 1783936 1802416 1815792 1839684 1853621 1867776 1892352 1906688 1946112 1966272 1982464 2022132 2038784 2059904 2102496 2118424 2146298 2179072 2207744 2224128 2247168 2270464 2276736 2311008 2341416 2354176 2408448 2421056 2452912 2496714 2523136 2568192 2594816 2601984 2621696 2641152 2675904 2696176 2703624 2803328 2860032 2912833 2965504 2973696 2996224 3035648 3058176 3081344 3089856 3121888 3177636 3219447 3268608 3311616 3328952 3405696 3424256 3469312 3521536 3531264 3567872 3604832 3631584 3679368 3707242 3784704 3813376 3892224 3932544 3964928 4044264 4077568 4119808 4204992 4236848 4292596 4358144 4415488 4448256 4494336 4540928 4553472 4622016 4682832 4708352 4816896 4842112 4905824 4993428 5136384 5189632 5203968 5243392 5282304 5351808 5392352 5407248 5560863 5606656 5720064 5825666 5931008 5947392 5992448 6071296 6116352 6162688 6179712 6243776 6355272 6438894 6537216 6623232 6657904 6811392 6848512 6938624 7043072 7062528 7135744 7209664 7263168 7358736 7414484 7569408 7626752 7784448 7865088 8088528 8155136 8239616 8409984 8473696 8585192 8738499 8830976 8896512 8988672 9081856 9106944 9244032 9365664 9416704 9684224 9811648 9986856 10272768 10379264 10407936 10486784 10564608 10703616 10784704 10814496 11121726 11213312 11440128 11651332 11894784 11984896 12142592 12232704 12325376 12359424 12487552 12710544 12877788 13074432 13246464 13315808 13622784 13877248 14086144 14125056 14271488 14419328 14526336 14717472 14828968 15253504 15568896 15730176 16177056 16310272 16479232 16819968 16947392 17170384 17476998 17661952 17793024 17977344 18163712 18213888 18488064 18731328 18833408 19368448 19623296 19973712 20389831 20545536 20758528 20815872 20973568 21129216 21407232 21569408 21628992 22243452 22426624 22880256 23302664 23969792 24285184 24465408 24650752 24718848 24975104 25421088 25755576 26492928 26631616 27245568 27754496 28172288 28250112 28542976 28838656 29052672 29434944 29657936 30507008 31137792 31460352 32354112 32620544 32958464 33639936 33894784 34340768 34953996 35954688 36327424 36427776 36976128 37462656 37666816 38736896 39246592 39947424 40779662 41517056 41631744 41947136 42258432 42814464 43138816 43257984 44486904 44853248 45760512 46605328 47939584 48570368 48930816 49301504 49437696 49950208 50842176 51511152 52985856 53263232 54491136 56344576 56500224 57085952 57677312 58105344 58869888 59315872 61169493 62275584 62920704 64708224 65241088 65916928 67279872 67789568 68681536 69907992 71909376 72654848 72855552 73952256 74925312 75333632 77473792 78493184 79894848 81559324 83263488 83894272 84516864 85628928 86277632 86515968 88973808 89706496 91521024 93210656 97140736 97861632 98603008 98875392 99900416 101684352 103022304 106526464 108982272 112689152 113000448 114171904 115354624 116210688 117739776 118631744 122338986 124551168 125841408 129416448 131833856 134559744 135579136 137363072 139815984 143818752 145309696 145711104 147904512 149850624 154947584 156986368 159789696 163118648 167788544 169033728 171257856 172555264 173031936 177947616 179412992 186421312 194281472 195723264 197206016 197750784 199800832 203368704 206044608 213052928 217964544 226000896 228343808 230709248 232421376 235479552 237263488 244677972 251682816 258832896 263667712 269119488 271158272 274726144 279631968 290619392 291422208 295809024 299701248 309895168 313972736 319579392 326237296 335577088 338067456 342515712 345110528 346063872 355895232 358825984 372842624 394412032 395501568 399601664 406737408 412089216 426105856 435929088 456687616 461418496 464842752 470959104 474526976 489355944 503365632 517665792 527335424 538238976 542316544 549452288 559263936 582844416 591618048 599402496 619790336 627945472 639158784 652474592 685031424 690221056 692127744 711790464 717651968 745685248 788824064 791003136 799203328 813474816 824178432 852211712 871858176 922836992 929685504 941918208 949053952 978711888 1006731264 1035331584 1076477952 1084633088 1098904576 1118527872 1183236096 1198804992 1239580672 1255890944 1278317568 1304949184 1370062848 1380442112 1384255488 1423580928 1491370496 1582006272 1598406656 1626949632 1648356864 1704423424 1845673984 1859371008 1883836416 1898107904 1957423776 2070663168 2152955904 2169266176 2197809152 2237055744 2366472192 2397609984 2511781888 2556635136 2609898368 2760884224 2768510976 2847161856 2982740992 3196813312 3253899264 3296713728 3408846848 3691347968 3718742016 3767672832 3796215808 3914847552 4141326336 4338532352 4395618304 4474111488 4795219968 5023563776 5113270272 5219796736 5521768448 5537021952 5694323712 5965481984 6507798528 6593427456 6817693696 7535345664 7592431616 7829695104 8282652672 8677064704 8791236608 8948222976 9590439936 10226540544 10439593472 11074043904 11388647424 11930963968 13015597056 13186854912 13635387392 15070691328 15184863232 15659390208 16565305344 17582473216 17896445952 20453081088 20879186944 22777294848 23861927936 26031194112 26373709824 30369726464 31318780416 35164946432 35792891904 40906162176 41758373888 45554589696 47723855872 52747419648 60739452928 62637560832 71585783808 83516747776 91109179392 95447711744 105494839296 125275121664 143171567616 167033495552 182218358784 250550243328 286343135232 334066991104 501100486656 668133982208 1002200973312 2004401946624
• Sum of all divisors σ(n): 7233711357600
• Sum of proper divisors (its aliquot sum) s(n): 5229309410976
• 2004401946624 is an abundant number, because the sum of its proper divisors (5229309410976) is greater than itself. Its abundance is 3224907464352

Bases of 2004401946624

• Binary: 11101001010101111101010101000000000000000₂
• Hexadecimal: 0x1D2AFAA8000
• Base-36: PKT560AO

Squares and roots of 2004401946624

• 2004401946624 squared (2004401946624²) is 4017627163630080544997376
• 2004401946624 cubed (2004401946624³) is 8052939707589593218634651279372058624
• The square root of 2004401946624 is 1415769.0301119035
• The cube root of 2004401946624 is 12608.4472343437

Scales and comparisons

• 2,004,401,946,624 seconds is equal to 63,733 years, 40 weeks, 4 days, 14 hours, 30 minutes, 24 seconds.
• To count from 1 to 2,004,401,946,624 would take you about one hundred fifty-nine thousand, three hundred thirty-four 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 2004401946624 cubic inches would be around 1050.7 feet tall.

Recreational maths with 2004401946624

• 2004401946624 backwards is 4266491044002
• 2004401946624 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 2004401946624's digits is 42
• More coming soon!