338848142983168

Names of 338848142983168

• Cardinal: 338848142983168 can be written as Three hundred thirty-eight trillion, eight hundred forty-eight billion, one hundred forty-two million, nine hundred eighty-three thousand, one hundred sixty-eight.

Scientific notation

• Scientific notation: 3.38848142983168 × 10¹⁴

Factors of 338848142983168

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 468

Divisors of 338848142983168

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 4 7 8 13 14 16 26 28 32 37 41 52 56 61 64 74 82 91 104 112 122 128 148 164 182 208 224 244 256 259 287 296 307 328 364 416 427 448 481 488 512 518 533 574 592 614 656 728 793 832 854 896 962 976 1024 1036 1066 1148 1184 1228 1312 1456 1517 1586 1664 1708 1792 1924 1952 2048 2072 2132 2149 2257 2296 2368 2456 2501 2624 2912 3034 3172 3328 3367 3416 3584 3731 3848 3904 3991 4096 4144 4264 4298 4514 4592 4736 4912 5002 5248 5551 5824 6068 6344 6656 6734 6832 7168 7462 7696 7808 7982 8192 8288 8528 8596 9028 9184 9472 9824 10004 10496 10619 11102 11359 11648 12136 12587 12688 13312 13468 13664 14336 14924 15392 15616 15799 15964 16384 16576 17056 17192 17507 18056 18368 18727 18944 19648 19721 20008 20992 21238 22204 22718 23296 24272 25174 25376 26624 26936 27328 27937 28672 29341 29848 30784 31232 31598 31928 32513 32768 33152 34112 34384 35014 36112 36736 37454 37888 39296 39442 40016 41984 42476 44408 45436 46592 48544 50348 50752 53248 53872 54656 55874 57344 58682 59696 61568 62464 63196 63856 65026 65536 66304 68224 68768 70028 72224 73472 74908 75776 78592 78884 79513 80032 83968 84952 88109 88816 90872 92537 93184 97088 100696 101504 106496 107744 109312 111748 114688 117364 119392 123136 124928 126392 127712 130052 131072 131089 132608 136448 137536 138047 140056 144448 146944 147667 149816 151552 157184 157768 159026 160064 163631 167936 169904 176218 177632 181744 185074 186368 194176 201392 203008 205387 212992 215488 218624 223496 227591 229376 234728 238784 243451 246272 249856 252784 255424 260104 262178 265216 272896 275072 276094 280112 288896 293888 295334 299632 303104 314368 315536 318052 320128 327262 335872 339808 352436 355264 363488 370148 372736 388352 402784 406016 410774 425984 430976 437248 446992 455182 458752 465719 469456 477568 486902 492544 499712 505568 510848 520208 524356 530432 545792 550144 552188 560224 577792 587776 590668 599264 606208 628736 631072 636104 640256 647759 654524 671744 679616 692899 704872 710528 726976 740296 745472 767807 776704 805568 812032 821548 851968 861952 874496 893984 910364 917504 931438 938912 955136 973804 985088 999424 1011136 1021696 1033669 1040416 1048712 1060864 1091584 1100288 1104376 1120448 1145417 1155584 1175552 1181336 1198528 1202981 1212416 1257472 1262144 1272208 1280512 1295518 1309048 1343488 1359232 1385798 1409744 1421056 1453952 1480592 1490944 1535614 1553408 1611136 1624064 1643096 1703936 1704157 1723904 1748992 1787968 1820728 1862876 1877824 1910272 1947608 1970176 1998848 2022272 2043392 2067338 2080832 2097424 2121728 2183168 2200576 2208752 2240896 2290834 2311168 2351104 2362672 2397056 2405962 2424832 2514944 2524288 2544416 2561024 2591036 2618096 2686976 2718464 2771596 2819488 2842112 2907904 2961184 2981888 3071228 3106816 3222272 3248128 3260033 3286192 3408314 3447808 3497984 3575936 3641456 3725752 3755648 3820544 3895216 3940352 3997696 4044544 4086784 4134676 4161664 4194848 4243456 4366336 4401152 4417504 4481792 4581668 4622336 4702208 4725344 4794112 4811924 4849664 4850293 5029888 5048576 5088832 5122048 5182072 5236192 5373952 5374649 5436928 5543192 5638976 5684224 5815808 5922368 5963776 6054347 6142456 6213632 6444544 6496256 6520066 6572384 6816628 6895616 6995968 7151872 7282912 7451504 7511296 7641088 7790432 7880704 7995392 8089088 8173568 8269352 8323328 8389696 8420867 8486912 8732672 8802304 8835008 8963584 9007687 9163336 9244672 9404416 9450688 9588224 9623848 9700586 9981491 10059776 10097152 10177664 10244096 10364144 10472384 10749298 10873856 11086384 11277952 11368448 11631616 11844736 11927552 12108694 12284912 12427264 12889088 12992512 13040132 13144768 13633256 13791232 13991936 14303744 14565824 14903008 15022592 15282176 15580864 15761408 16178176 16347136 16538704 16646656 16779392 16841734 16973824 17465344 17604608 17670016 17927168 18015374 18326672 18489344 18808832 18901376 19176448 19247696 19401172 19962982 20119552 20194304 20355328 20488192 20728288 20944768 21498596 21747712 22172768 22555904 22736896 23263232 23689472 24217388 24569824 24854528 25778176 25985024 26080264 26289536 27266512 27582464 27983872 28408859 28607488 29131648 29806016 30045184 30564352 31161728 31522816 32356352 32694272 33077408 33293312 33558784 33683468 33947648 34930688 35209216 35340032 35854336 36030748 36653344 36978688 37617664 37802752 38352896 38495392 38802344 39925964 40239104 40388608 40710656 40976384 41456576 41889536 42380429 42997192 43495424 44345536 45111808 45473792 46526464 47378944 48434776 49139648 49709056 51556352 51970048 52160528 52579072 54533024 55164928 55967744 56817718 57214976 58263296 59612032 60090368 61128704 62323456 63045632 63053809 64712704 65388544 66154816 66586624 67117568 67366936 69861376 69870437 70418432 70680064 71708672 72061496 73306688 73957376 75605504 76705792 76990784 77604688 79851928 80777216 81421312 81952768 82913152 83779072 84760858 85994384 86990848 88691072 90223616 90947584 93052928 94757888 96869552 98279296 99418112 103112704 103940096 104321056 105158144 109066048 110329856 113635436 114429952 116526592 119224064 120180736 122257408 124646912 126107618 129425408 130777088 132309632 133173248 134235136 134733872 139740874 140836864 141360128 143417344 144122992 146613376 147914752 151211008 153411584 153981568 155209376 159703856 161554432 162842624 163905536 165826304 167558144 169521716 171988768 173981696 177382144 180447232 181895168 186105856 189515776 193739104 196558592 198836224 198862013 206225408 208642112 210316288 218132096 220659712 227270872 228859904 233053184 238448128 240361472 244514816 249293824 252215236 258850816 261554176 264619264 266346496 268470272 269467744 279481748 281673728 282720256 286834688 288245984 293226752 295829504 302422016 306823168 307963136 310418752 319407712 323108864 325685248 327811072 331652608 335116288 339043432 343977536 347963392 354764288 360894464 363790336 369315167 372211712 379031552 387478208 393117184 397724026 412450816 417284224 420632576 436264192 441319424 454541744 457719808 466106368 476896256 480722944 489029632 498587648 504430472 517701632 523108352 529238528 532692992 536940544 538935488 558963496 565440512 573669376 576491968 586453504 604844032 613646336 615926272 620837504 638815424 646217728 651370496 663305216 670232576 678086864 687955072 695926784 709528576 721788928 727580672 738630334 744423424 758063104 774956416 786234368 795448052 824901632 834568448 841265152 872528384 909083488 915439616 932212736 953792512 961445888 997175296 1008860944 1035403264 1058477056 1065385984 1073881088 1077870976 1117926992 1130881024 1147338752 1152983936 1172907008 1209688064 1227292672 1231852544 1241675008 1277630848 1292435456 1302740992 1326610432 1340465152 1356173728 1375910144 1391853568 1419057152 1443577856 1477260668 1488846848 1516126208 1549912832 1572468736 1590896104 1649803264 1669136896 1682530304 1745056768 1818166976 1830879232 1864425472 1907585024 1922891776 1994350592 2017721888 2070806528 2116954112 2130771968 2147762176 2155741952 2235853984 2261762048 2294677504 2305967872 2345814016 2419376128 2454585344 2463705088 2483350016 2555261696 2584870912 2585206169 2605481984 2653220864 2680930304 2712347456 2751820288 2838114304 2887155712 2954521336 3032252416 3099825664 3144937472 3181792208 3338273792 3365060608 3490113536 3636333952 3661758464 3728850944 3815170048 3845783552 3988701184 4035443776 4233908224 4261543936 4295524352 4311483904 4471707968 4523524096 4611935744 4691628032 4838752256 4927410176 4966700032 5110523392 5170412338 5210963968 5306441728 5361860608 5424694912 5503640576 5676228608 5774311424 5909042672 6064504832 6199651328 6289874944 6363584416 6676547584 6730121216 6980227072 7272667904 7457701888 7630340096 7977402368 8070887552 8467816448 8591048704 8622967808 8943415936 9047048192 9223871488 9383256064 9677504512 9854820352 9933400064 10221046784 10340824676 10421927936 10612883456 10723721216 10849389824 11007281152 11352457216 11548622848 11818085344 12129009664 12399302656 12579749888 12727168832 13353095168 13460242432 13960454144 14545335808 14915403776 15260680192 15954804736 16141775104 16935632896 17182097408 17245935616 17886831872 18094096384 18447742976 18766512128 19355009024 19709640704 19866800128 20442093568 20681649352 21225766912 21447442432 21698779648 22014562304 22704914432 23636170688 24798605312 25159499776 25454337664 26706190336 26920484864 27920908288 29090671616 29830807552 30521360384 31909609472 32283550208 33871265792 34491871232 35773663744 36895485952 37533024256 39419281408 39733600256 40884187136 41363298704 42451533824 43397559296 44029124608 45409828864 47272341376 49597210624 50318999552 50908675328 53412380672 55841816576 58181343232 61042720768 64567100416 67742531584 68983742464 71547327488 73790971904 75066048512 78838562816 79467200512 81768374272 82726597408 84903067648 86795118592 88058249216 90819657728 94544682752 99194421248 100637999104 101817350656 106824761344 111683633152 116362686464 129134200832 135485063168 137967484928 143094654976 147581943808 150132097024 157677125632 158934401024 163536748544 165453194816 173590237184 176116498432 189089365504 198388842496 203634701312 213649522688 223367266304 232725372928 258268401664 275934969856 286189309952 295163887616 317868802048 327073497088 330906389632 347180474368 352232996864 378178731008 396777684992 407269402624 427299045376 465450745856 516536803328 551869939712 572378619904 590327775232 635737604096 654146994176 661812779264 694360948736 704465993728 756357462016 793555369984 814538805248 930901491712 1033073606656 1103739879424 1144757239808 1180655550464 1308293988352 1323625558528 1388721897472 1512714924032 1629077610496 1861802983424 2066147213312 2289514479616 2647251117056 2777443794944 3025429848064 3258155220992 3723605966848 4132294426624 4579028959232 5294502234112 5554887589888 6050859696128 6516310441984 8264588853248 9158057918464 10589004468224 12101719392256 13032620883968 21178008936448 24203438784512 26065241767936 42356017872896 48406877569024 84712035745792 169424071491584 338848142983168
• Sum of all divisors σ(n): 894811549395456
• Sum of proper divisors (its aliquot sum) s(n): 555963406412288
• 338848142983168 is an abundant number, because the sum of its proper divisors (555963406412288) is greater than itself. Its abundance is 217115263429120

Bases of 338848142983168

• Binary: 1001101000010111000111011001100100000000000000000₂
• Hexadecimal: 0x1342E3B320000
• Base-36: 3C40ORJ5Z4

Squares and roots of 338848142983168

• 338848142983168 squared (338848142983168²) is 114818064003141465114331316224
• 338848142983168 cubed (338848142983168³) is 38905887768387013966989572048443747317317632
• The square root of 338848142983168 is 18407828.3070863087
• The cube root of 338848142983168 is 69716.4134222239

Scales and comparisons

• 338,848,142,983,168 seconds is equal to 10,774,322 years, 42 weeks, 4 days, 17 hours, 59 minutes, 28 seconds.
• To count from 1 to 338,848,142,983,168 would take you about twenty-six million, nine hundred thirty-five thousand, eight hundred seven 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 338848142983168 cubic inches would be around 5809.7 feet tall.

Recreational maths with 338848142983168

• 338848142983168 backwards is 861389241848833
• The number of decimal digits it has is: 15
• The sum of 338848142983168's digits is 76
• More coming soon!