42801328233792800

Names of 42801328233792800

• Cardinal: 42801328233792800 can be written as Forty-two quadrillion, eight hundred one trillion, three hundred twenty-eight billion, two hundred thirty-three million, seven hundred ninety-two thousand, eight hundred.

Scientific notation

• Scientific notation: 4.28013282337928 × 10¹⁶

Factors of 42801328233792800

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 783

Divisors of 42801328233792800

• Number of divisors d(n): 504
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 70 80 98 100 112 140 160 175 196 200 224 245 280 343 350 392 400 490 560 686 700 769 784 800 980 1120 1225 1372 1400 1538 1568 1715 1960 2401 2450 2744 2800 3076 3430 3845 3920 4802 4900 5383 5488 5600 6152 6860 7690 7840 8575 9604 9800 10766 10976 12005 12304 13720 15380 16807 17150 19208 19225 19600 21532 24010 24608 26915 27440 30760 33614 34300 37681 38416 38450 39200 43064 48020 53830 54880 60025 61520 67228 68600 75362 76832 76900 84035 86128 96040 107660 117649 120050 123040 134456 134575 137200 150724 153800 168070 172256 188405 192080 215320 235298 240100 263767 268912 269150 274400 301448 307600 336140 376810 384160 420175 430640 470596 480200 527534 537824 538300 588245 591361 602896 615200 672280 753620 840350 861280 941192 942025 960400 1055068 1076600 1176490 1182722 1205792 1318835 1344560 1507240 1680700 1846369 1882384 1884050 1920800 2110136 2153200 2352980 2365444 2637670 2689120 2941225 2956805 3014480 3361400 3692738 3764768 3768100 4139527 4220272 4306400 4705960 4730888 5275340 5882450 5913610 6028960 6594175 6722800 7385476 7536200 8279054 8440544 9231845 9411920 9461776 10550680 11764900 11827220 12924583 13188350 13445600 14770952 14784025 15072400 16558108 18463690 18823840 18923552 20697635 21101360 23529800 23654440 25849166 26376700 28976689 29541904 29568050 30144800 33116216 36927380 41395270 42202720 46159225 47059600 47308880 51698332 52753400 57953378 59083808 59136100 64622915 66232432 73854760 82790540 90472081 92318450 94119200 94617760 103396664 103488175 105506800 115906756 118272200 129245830 132464864 144883445 147709520 165581080 180944162 184636900 202836823 206793328 206976350 211013600 231813512 236544400 258491660 289766890 295419040 323114575 331162160 361888324 369273800 405673646 413586656 413952700 452360405 454756609 463627024 473088800 516983320 579533780 646229150 662324320 723776648 724417225 738547600 811347292 827905400 904720810 909513218 927254048 1014184115 1033966640 1159067560 1292458300 1419857761 1447553296 1448834450 1477095200 1622694584 1655810800 1809441620 1819026436 2028368230 2067933280 2261802025 2273783045 2318135120 2584916600 2839715522 2895106592 2897668900 3183296263 3245389168 3311621600 3618883240 3638052872 4056736460 4523604050 4547566090 4636270240 5070920575 5169833200 5679431044 5795337800 6366592526 6490778336 7099288805 7237766480 7276105744 8113472920 9047208100 9095132180 9939004327 10141841150 10339666400 11358862088 11368915225 11590675600 12733185052 14198577610 14475532960 14552211488 15916481315 16226945840 18094416200 18190264360 19878008654 20283682300 22283073841 22717724176 22737830450 23181351200 25466370104 28397155220 31832962630 32453891680 35496444025 36188832400 36380528720 39756017308 40567364600 44566147682 45435448352 45475660900 49695021635 50932740208 56794310440 63665925260 69573030289 70992888050 72377664800 72761057440 79512034616 79582406575 81134729200 89132295364 90951321800 99390043270 101865480416 111415369205 113588620880 127331850520 139146060578 141985776100 155981516887 159024069232 159164813150 162269458400 178264590728 181902643600 198780086540 222830738410 227177241760 248475108175 254663701040 278292121156 283971552200 311963033774 318048138464 318329626300 347865151445 356529181456 363805287200 397560173080 445661476820 496950216350 509327402080 556584242312 557076846025 567943104400 623926067548 636659252600 695730302890 713058362912 779907584435 795120346160 891322953640 993900432700 1091870618209 1113168484624 1114153692050 1135886208800 1247852135096 1273318505200 1391460605780 1559815168870 1590240692320 1739325757225 1782645907280 1987800865400 2183741236418 2226336969248 2228307384100 2495704270192 2546637010400 2782921211560 3119630337740 3478651514450 3565291814560 3899537922175 3975601730800 4367482472836 4456614768200 4991408540384 5459353091045 5565842423120 6239260675480 6957303028900 7643094327463 7799075844350 7951203461600 8734964945672 8913229536400 10918706182090 11131684846240 12478521350960 13914606057800 15286188654926 15598151688700 17469929891344 17826459072800 21837412364180 24957042701920 27296765455225 27829212115600 30572377309852 31196303377400 34939859782688 38215471637315 43674824728360 53501660292241 54593530910450 55658424231200 61144754619704 62392606754800 76430943274630 87349649456720 107003320584482 109187061820900 122289509239408 124785213509600 152861886549260 174699298913440 191077358186575 214006641168964 218374123641800 244579018478816 267508301461205 305723773098520 382154716373150 428013282337928 436748247283600 535016602922410 611447546197040 764309432746300 856026564675856 873496494567200 1070033205844820 1222895092394080 1337541507306025 1528618865492600 1712053129351712 2140066411689640 2675083014612050 3057237730985200 4280132823379280 5350166029224100 6114475461970400 8560265646758560 10700332058448200 21400664116896400 42801328233792800
• Sum of all divisors σ(n): 122062113318069540
• Sum of proper divisors (its aliquot sum) s(n): 79260785084276740
• 42801328233792800 is an abundant number, because the sum of its proper divisors (79260785084276740) is greater than itself. Its abundance is 36459456850483940

Bases of 42801328233792800

• Binary: 10011000000011111001010011001101010010100100010100100000₂
• Hexadecimal: 0x980F94CD4A4520
• Base-36: BPFSYQSUQE8

Squares and roots of 42801328233792800

• 42801328233792800 squared (42801328233792800²) is 1831953698576868688335873331840000
• 42801328233792800 cubed (42801328233792800³) is 78410051561899274603035634520907850216202752000000
• The square root of 42801328233792800 is 206884818.7610507105
• The cube root of 42801328233792800 is 349799.4176787263

Scales and comparisons

• 42,801,328,233,792,800 seconds is equal to 1,360,949,844 years, 32 weeks, 6 days, 16 hours, 13 minutes, 20 seconds.
• To count from 1 to 42,801,328,233,792,800 would take you about four billion, eighty-two million, eight hundred forty-nine thousand, five hundred thirty-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 42801328233792800 cubic inches would be around 29150 feet tall.

Recreational maths with 42801328233792800

• 42801328233792800 backwards is 00829733282310824
• The number of decimal digits it has is: 17
• The sum of 42801328233792800's digits is 62
• More coming soon!