146074928825401344

Names of 146074928825401344

• Cardinal: 146074928825401344 can be written as One hundred forty-six quadrillion, seventy-four trillion, nine hundred twenty-eight billion, eight hundred twenty-five million, four hundred one thousand, three hundred forty-four.

Scientific notation

• Scientific notation: 1.46074928825401344 × 10¹⁷

Factors of 146074928825401344

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 1144

Divisors of 146074928825401344

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 29 32 34 36 48 51 58 64 68 72 87 96 102 116 128 136 144 153 174 192 204 232 256 261 272 288 306 348 384 408 464 493 512 522 544 576 612 696 768 816 841 928 986 1024 1044 1088 1093 1152 1224 1392 1479 1536 1632 1682 1856 1972 2048 2088 2176 2186 2304 2448 2523 2784 2958 3072 3264 3279 3364 3712 3944 4096 4176 4352 4372 4437 4608 4896 5046 5568 5916 6144 6528 6558 6728 7424 7569 7888 8192 8352 8704 8744 8874 9216 9792 9837 10092 11136 11832 12288 13056 13116 13456 14297 14848 15138 15776 16384 16704 17408 17488 17748 18432 18581 19584 19674 20184 22272 23664 24389 24576 26112 26232 26912 28594 29696 30276 31552 31697 32768 33408 34816 34976 35496 36864 37162 39168 39348 40368 42891 44544 47328 48778 49152 52224 52464 53824 55743 57188 59392 60552 63104 63394 66816 69632 69952 70992 73167 73728 74324 78336 78696 80736 85782 89088 94656 95091 97556 98304 104448 104928 107648 111486 114376 118784 121104 126208 126788 128673 133632 139264 139904 141984 146334 147456 148648 156672 157392 161472 167229 171564 178176 189312 190182 195112 208896 209856 215296 219501 222972 228752 237568 242208 252416 253576 257346 267264 278528 279808 283968 285273 292668 294912 297296 313344 314784 322944 334458 343128 356352 378624 380364 390224 414613 417792 419712 430592 439002 445944 457504 475136 484416 504832 507152 514692 534528 538849 557056 559616 567936 570546 585336 594592 626688 629568 645888 668916 686256 712704 757248 760728 780448 829226 835584 839424 861184 878004 891888 915008 919213 950272 968832 1009664 1014304 1029384 1069056 1077698 1119232 1135872 1141092 1170672 1189184 1194649 1243839 1253376 1259136 1291776 1337832 1372512 1425408 1514496 1521456 1560896 1616547 1658452 1671168 1678848 1722368 1756008 1783776 1830016 1838426 1937664 2019328 2028608 2058768 2138112 2155396 2238464 2271744 2282184 2341344 2378368 2389298 2487678 2506752 2518272 2583552 2675664 2745024 2757639 2850816 3028992 3042912 3121792 3233094 3316904 3357696 3444736 3512016 3567552 3583947 3660032 3676852 3731517 3875328 4038656 4057216 4117536 4276224 4310792 4476928 4543488 4564368 4682688 4756736 4778596 4849641 4975356 5013504 5036544 5167104 5351328 5490048 5515278 6057984 6085824 6243584 6466188 6633808 6715392 6889472 7024032 7135104 7167894 7320064 7353704 7463034 7750656 8077312 8114432 8235072 8272917 8552448 8621584 8953856 9086976 9128736 9365376 9513472 9557192 9699282 9950712 10073088 10334208 10702656 10751841 10980096 11030556 12115968 12171648 12487168 12932376 13267616 13430784 13778944 14048064 14270208 14335788 14640128 14707408 14926068 15501312 15626621 16154624 16228864 16470144 16545834 17243168 17907712 18173952 18257472 18730752 19026944 19114384 19398564 19901424 20146176 20309033 20668416 21405312 21503682 21960192 22061112 24231936 24343296 24974336 25864752 26535232 26657177 26861568 27557888 28096128 28540416 28671576 29280256 29414816 29852136 31002624 31253242 32457728 32940288 33091668 34486336 34644821 35815424 36347904 36514944 37461504 38053888 38228768 38797128 39802848 40292352 40618066 41336832 42810624 43007364 43920384 44122224 46879863 48463872 48686592 49948672 51729504 53070464 53314354 53723136 56192256 57080832 57343152 58560512 58829632 59704272 60927099 62005248 62506484 64915456 65880576 66183336 68972672 69289642 72695808 73029888 74923008 76107776 76457536 77594256 79605696 79971531 80584704 81236132 82673664 85621248 86014728 87840768 88244448 93759726 97373184 99897344 103459008 103934463 106140928 106628708 107446272 112384512 114161664 114686304 117121024 117659264 119408544 121854198 124010496 125012968 129830912 131761152 132366672 137945344 138579284 140639589 145391616 146059776 149846016 152215552 152915072 155188512 159211392 159943062 161169408 162472264 171242496 172029456 175681536 176488896 182781297 187519452 194746368 199794688 206918016 207868926 212281856 213257416 224769024 228323328 229372608 234242048 235318528 238817088 239914593 243708396 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16705732939776 16782505609536 17489814275072 17831412210132 18518626879488 19299105406976 19676041059456 21711493582848 22274310586368 22376674146048 23775216280176 24691502505984 26234721412608 28948658110464 29835565528064 31700288373568 32922003341312 33411465879552 33565011219072 34979628550144 35662824420264 37037253758976 39352082118912 43422987165696 44548621172736 44753348292096 47550432560352 49383005011968 52469442825216 57897316220928 59671131056128 63400576747136 66822931759104 67130022438144 69959257100288 71325648840528 74074507517952 78704164237824 86845974331392 89506696584192 95100865120704 98766010023936 104938885650432 119342262112256 126801153494272 133645863518208 134260044876288 139918514200576 142651297681056 148149015035904 157408328475648 173691948662784 179013393168384 190201730241408 209877771300864 238684524224512 253602306988544 268520089752576 279837028401152 285302595362112 296298030071808 314816656951296 358026786336768 380403460482816 419755542601728 477369048449024 507204613977088 537040179505152 559674056802304 570605190724224 629633313902592 716053572673536 760806920965632 839511085203456 954738096898048 1014409227954176 1074080359010304 1141210381448448 1259266627805184 1432107145347072 1521613841931264 1679022170406912 2028818455908352 2148160718020608 2282420762896896 2518533255610368 2864214290694144 3043227683862528 4057636911816704 4296321436041216 4564841525793792 5037066511220736 6086455367725056 8115273823633408 8592642872082432 9129683051587584 12172910735450112 16230547647266816 18259366103175168 24345821470900224 36518732206350336 48691642941800448 73037464412700672 146074928825401344
• Sum of all divisors σ(n): 463191258389254200
• Sum of proper divisors (its aliquot sum) s(n): 317116329563852856
• 146074928825401344 is an abundant number, because the sum of its proper divisors (317116329563852856) is greater than itself. Its abundance is 171041400738451512

Bases of 146074928825401344

• Binary: 1000000110111101100101111110110011001110101000000000000000₂
• Hexadecimal: 0x206F65FB33A8000
• Base-36: 13YB8NW7QWW0

Squares and roots of 146074928825401344

• 146074928825401344 squared (146074928825401344²) is 21337884831346068473093842677006336
• 146074928825401344 cubed (146074928825401344³) is 3116930008023487913200511253094713370469395630915584
• The square root of 146074928825401344 is 382197499.7634094203
• The cube root of 146074928825401344 is 526653.8068699381

Scales and comparisons

• 146,074,928,825,401,344 seconds is equal to 4,644,730,897 years, 11 weeks, 5 days, 7 hours, 2 minutes, 24 seconds.
• To count from 1 to 146,074,928,825,401,344 would take you about thirteen billion, nine hundred thirty-four million, one hundred ninety-two thousand, six hundred ninety-one 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 146074928825401344 cubic inches would be around 43887.8 feet tall.

Recreational maths with 146074928825401344

• 146074928825401344 backwards is 443104528829470641
• 146074928825401344 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 146074928825401344's digits is 72
• More coming soon!