148821824765952

Names of 148821824765952

• Cardinal: 148821824765952 can be written as One hundred forty-eight trillion, eight hundred twenty-one billion, eight hundred twenty-four million, seven hundred sixty-five thousand, nine hundred fifty-two.

Scientific notation

• Scientific notation: 1.48821824765952 × 10¹⁴

Factors of 148821824765952

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 37
• Sum of prime factors: 18

Divisors of 148821824765952

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 169 192 208 216 234 243 256 288 312 324 338 351 384 416 432 468 486 507 512 576 624 648 676 702 729 768 832 864 936 972 1014 1024 1053 1152 1248 1296 1352 1404 1458 1521 1536 1664 1728 1872 1944 2028 2048 2106 2187 2304 2496 2592 2704 2808 2916 3042 3072 3159 3328 3456 3744 3888 4056 4096 4212 4374 4563 4608 4992 5184 5408 5616 5832 6084 6144 6318 6561 6656 6912 7488 7776 8112 8192 8424 8748 9126 9216 9477 9984 10368 10816 11232 11664 12168 12288 12636 13122 13312 13689 13824 14976 15552 16224 16384 16848 17496 18252 18432 18954 19968 20736 21632 22464 23328 24336 24576 25272 26244 26624 27378 27648 28431 29952 31104 32448 32768 33696 34992 36504 36864 37908 39936 41067 41472 43264 44928 46656 48672 49152 50544 52488 53248 54756 55296 56862 59904 62208 64896 65536 67392 69984 73008 73728 75816 79872 82134 82944 85293 86528 89856 93312 97344 98304 101088 104976 106496 109512 110592 113724 119808 123201 124416 129792 131072 134784 139968 146016 147456 151632 159744 164268 165888 170586 173056 179712 186624 194688 196608 202176 209952 212992 219024 221184 227448 239616 246402 248832 259584 262144 269568 279936 292032 294912 303264 319488 328536 331776 341172 346112 359424 369603 373248 389376 393216 404352 419904 425984 438048 442368 454896 479232 492804 497664 519168 524288 539136 559872 584064 589824 606528 638976 657072 663552 682344 692224 718848 739206 746496 778752 786432 808704 839808 851968 876096 884736 909792 958464 985608 995328 1038336 1048576 1078272 1108809 1119744 1168128 1179648 1213056 1277952 1314144 1327104 1364688 1384448 1437696 1478412 1492992 1557504 1572864 1617408 1679616 1703936 1752192 1769472 1819584 1916928 1971216 1990656 2076672 2097152 2156544 2217618 2239488 2336256 2359296 2426112 2555904 2628288 2654208 2729376 2768896 2875392 2956824 2985984 3115008 3145728 3234816 3359232 3407872 3504384 3538944 3639168 3833856 3942432 3981312 4153344 4194304 4313088 4435236 4478976 4672512 4718592 4852224 5111808 5256576 5308416 5458752 5537792 5750784 5913648 5971968 6230016 6291456 6469632 6718464 6815744 7008768 7077888 7278336 7667712 7884864 7962624 8306688 8388608 8626176 8870472 8957952 9345024 9437184 9704448 10223616 10513152 10616832 10917504 11075584 11501568 11827296 11943936 12460032 12582912 12939264 13436928 13631488 14017536 14155776 14556672 15335424 15769728 15925248 16613376 16777216 17252352 17740944 17915904 18690048 18874368 19408896 20447232 21026304 21233664 21835008 22151168 23003136 23654592 23887872 24920064 25165824 25878528 26873856 27262976 28035072 28311552 29113344 30670848 31539456 31850496 33226752 33554432 34504704 35481888 35831808 37380096 37748736 38817792 40894464 42052608 42467328 43670016 44302336 46006272 47309184 47775744 49840128 50331648 51757056 53747712 54525952 56070144 56623104 58226688 61341696 63078912 63700992 66453504 67108864 69009408 70963776 71663616 74760192 75497472 77635584 81788928 84105216 84934656 87340032 88604672 92012544 94618368 95551488 99680256 100663296 103514112 107495424 109051904 112140288 113246208 116453376 122683392 126157824 127401984 132907008 134217728 138018816 141927552 143327232 149520384 150994944 155271168 163577856 168210432 169869312 174680064 177209344 184025088 189236736 191102976 199360512 201326592 207028224 214990848 218103808 224280576 226492416 232906752 245366784 252315648 254803968 265814016 276037632 283855104 286654464 299040768 301989888 310542336 327155712 336420864 339738624 349360128 354418688 368050176 378473472 382205952 398721024 402653184 414056448 429981696 436207616 448561152 452984832 465813504 490733568 504631296 509607936 531628032 552075264 567710208 573308928 598081536 603979776 621084672 654311424 672841728 679477248 698720256 708837376 736100352 756946944 764411904 797442048 828112896 859963392 872415232 897122304 905969664 931627008 981467136 1009262592 1019215872 1063256064 1104150528 1135420416 1146617856 1196163072 1207959552 1242169344 1308622848 1345683456 1358954496 1397440512 1417674752 1472200704 1513893888 1528823808 1594884096 1656225792 1719926784 1744830464 1794244608 1811939328 1863254016 1962934272 2018525184 2038431744 2126512128 2208301056 2270840832 2293235712 2392326144 2484338688 2617245696 2691366912 2717908992 2794881024 2835349504 2944401408 3027787776 3057647616 3189768192 3312451584 3439853568 3588489216 3623878656 3726508032 3925868544 4037050368 4076863488 4253024256 4416602112 4541681664 4586471424 4784652288 4968677376 5234491392 5382733824 5435817984 5589762048 5670699008 5888802816 6055575552 6115295232 6379536384 6624903168 6879707136 7176978432 7453016064 7851737088 8074100736 8153726976 8506048512 8833204224 9083363328 9172942848 9569304576 9937354752 10765467648 10871635968 11179524096 11341398016 11777605632 12111151104 12230590464 12759072768 13249806336 13759414272 14353956864 14906032128 15703474176 16148201472 16307453952 17012097024 17666408448 18166726656 18345885696 19138609152 19874709504 21530935296 22359048192 22682796032 23555211264 24222302208 24461180928 25518145536 26499612672 27518828544 28707913728 29812064256 32296402944 32614907904 34024194048 35332816896 36333453312 36691771392 38277218304 39749419008 43061870592 44718096384 47110422528 48444604416 48922361856 51036291072 52999225344 55037657088 57415827456 59624128512 64592805888 68048388096 70665633792 72666906624 73383542784 76554436608 79498838016 86123741184 89436192768 96889208832 97844723712 102072582144 105998450688 110075314176 114831654912 119248257024 129185611776 141331267584 145333813248 146767085568 153108873216 158997676032 172247482368 178872385536 193778417664 204145164288 211996901376 220150628352 229663309824 238496514048 258371223552 290667626496 293534171136 306217746432 317995352064 344494964736 357744771072 387556835328 423993802752 440301256704 459326619648 476993028096 516742447104 581335252992 612435492864 635990704128 688989929472 715489542144 775113670656 880602513408 918653239296 953986056192 1033484894208 1162670505984 1271981408256 1377979858944 1430979084288 1550227341312 1837306478592 1907972112384 2066969788416 2325341011968 2755959717888 2861958168576 3100454682624 3815944224768 4133939576832 4650682023936 5511919435776 5723916337152 6200909365248 8267879153664 9301364047872 11447832674304 12401818730496 16535758307328 18602728095744 24803637460992 37205456191488 49607274921984 74410912382976 148821824765952
• Sum of all divisors σ(n): 483426216215865
• Sum of proper divisors (its aliquot sum) s(n): 334604391449913
• 148821824765952 is an abundant number, because the sum of its proper divisors (334604391449913) is greater than itself. Its abundance is 185782566683961

Bases of 148821824765952

• Binary: 100001110101101001001000000000000000000000000000₂
• Hexadecimal: 0x875A48000000
• Base-36: 1GR3SW0000

Squares and roots of 148821824765952

• 148821824765952 squared (148821824765952²) is 22147935526667724059578466304
• 148821824765952 cubed (148821824765952³) is 3296096179877346848997348605366063918481408
• The square root of 148821824765952 is 12199255.0906172955
• The cube root of 148821824765952 is 52993.4517560689

Scales and comparisons

• 148,821,824,765,952 seconds is equal to 4,732,073 years, 35 weeks, 6 days, 16 hours, 19 minutes, 12 seconds.
• To count from 1 to 148,821,824,765,952 would take you about eleven million, eight hundred thirty thousand, one hundred eighty-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 148821824765952 cubic inches would be around 4416.1 feet tall.

Recreational maths with 148821824765952

• 148821824765952 backwards is 259567428128841
• 148821824765952 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 148821824765952's digits is 72
• More coming soon!