688138237269504

Names of 688138237269504

• Cardinal: 688138237269504 can be written as Six hundred eighty-eight trillion, one hundred thirty-eight billion, two hundred thirty-seven million, two hundred sixty-nine thousand, five hundred four.

Scientific notation

• Scientific notation: 6.88138237269504 × 10¹⁴

Factors of 688138237269504

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 31885

Divisors of 688138237269504

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 84 96 98 108 112 126 128 144 147 168 189 192 196 216 224 252 256 288 294 336 378 384 392 432 441 448 504 512 576 588 672 756 768 784 864 882 896 1008 1152 1176 1323 1344 1512 1536 1568 1728 1764 1792 2016 2304 2352 2646 2688 3024 3136 3456 3528 3584 4032 4608 4704 5292 5376 6048 6272 6912 7056 8064 9408 10584 10752 12096 12544 13824 14112 16128 18816 21168 24192 25088 28224 31873 32256 37632 42336 48384 56448 63746 75264 84672 95619 96768 112896 127492 169344 191238 223111 225792 254984 286857 338688 382476 446222 509968 573714 669333 677376 764952 860571 892444 1019936 1147428 1338666 1529904 1561777 1721142 1784888 2007999 2039872 2294856 2677332 3059808 3123554 3442284 3569776 4015998 4079744 4589712 4685331 5354664 6023997 6119616 6247108 6884568 7139552 8031996 8159488 9179424 9370662 10709328 12047994 12239232 12494216 13769136 14055993 14279104 16063992 16318976 18358848 18741324 21418656 24095988 24478464 24988432 27538272 28111986 28558208 32127984 36717696 37482648 42167979 42837312 48191976 48956928 49976864 55076544 56223972 57116416 64255968 73435392 74965296 84335958 85674624 96383952 99953728 110153088 112447944 114232832 128511936 146870784 149930592 168671916 171349248 192767904 199907456 220306176 224895888 257023872 299861184 337343832 342698496 385535808 399814912 440612352 449791776 514047744 599722368 674687664 771071616 799629824 899583552 1015888129 1028095488 1199444736 1349375328 1542143232 1799167104 2031776258 2398889472 2698750656 3047664387 3084286464 3598334208 4063552516 5397501312 6095328774 7111216903 7196668416 8127105032 9142993161 10795002624 12190657548 14222433806 16254210064 18285986322 21333650709 21590005248 24381315096 27428979483 28444867612 32508420128 36571972644 42667301418 48762630192 49778518321 54857958966 56889735224 64000952127 65016840256 73143945288 85334602836 97525260384 99557036642 109715917932 113779470448 128001904254 130033680512 146287890576 149335554963 170669205672 192002856381 195050520768 199114073284 219431835864 227558940896 256003808508 260067361024 292575781152 298671109926 341338411344 384005712762 390101041536 398228146568 438863671728 448006664889 455117881792 512007617016 520134722048 585151562304 597342219852 682676822688 768011425524 780202083072 796456293136 877727343456 896013329778 910235763584 1024015234032 1170303124608 1194684439704 1344019994667 1365353645376 1536022851048 1560404166144 1592912586272 1755454686912 1792026659556 1820471527168 2048030468064 2340606249216 2389368879408 2688039989334 2730707290752 3072045702096 3185825172544 3510909373824 3584053319112 3640943054336 4096060936128 4681212498432 4778737758816 5376079978668 5461414581504 6144091404192 6371650345088 7021818747648 7168106638224 8192121872256 9557475517632 10752159957336 10922829163008 12288182808384 12743300690176 14043637495296 14336213276448 16384243744512 19114951035264 21504319914672 24576365616768 25486601380352 28672426552896 32768487489024 38229902070528 43008639829344 49152731233536 57344853105792 76459804141056 86017279658688 98305462467072 114689706211584 172034559317376 229379412423168 344069118634752 688138237269504
• Sum of all divisors σ(n): 2369572451797320
• Sum of proper divisors (its aliquot sum) s(n): 1681434214527816
• 688138237269504 is an abundant number, because the sum of its proper divisors (1681434214527816) is greater than itself. Its abundance is 993295977258312

Bases of 688138237269504

• Binary: 10011100011101101110101011001100000101011000000000₂
• Hexadecimal: 0x271DBAB305600
• Base-36: 6RXACB9MO0

Squares and roots of 688138237269504

• 688138237269504 squared (688138237269504²) is 473534233592380183921528406016
• 688138237269504 cubed (688138237269504³) is 325857012791026046487577132748858025326936064
• The square root of 688138237269504 is 26232389.0881006871
• The cube root of 688138237269504 is 88286.0114497247

Scales and comparisons

• 688,138,237,269,504 seconds is equal to 21,880,667 years, 20 weeks, 3 days, 8 hours, 38 minutes, 24 seconds.
• To count from 1 to 688,138,237,269,504 would take you about fifty-four million, seven hundred one thousand, six hundred sixty-eight 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 688138237269504 cubic inches would be around 7357.2 feet tall.

Recreational maths with 688138237269504

• 688138237269504 backwards is 405962732831886
• 688138237269504 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 688138237269504's digits is 72
• More coming soon!