345816995838336

Names of 345816995838336

• Cardinal: 345816995838336 can be written as Three hundred forty-five trillion, eight hundred sixteen billion, nine hundred ninety-five million, eight hundred thirty-eight thousand, three hundred thirty-six.

Scientific notation

• Scientific notation: 3.45816995838336 × 10¹⁴

Factors of 345816995838336

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 929

Divisors of 345816995838336

• Number of divisors d(n): 1536
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 37 44 48 64 66 71 72 74 88 96 99 111 127 128 132 142 144 148 157 176 192 198 213 222 254 264 284 288 296 314 333 352 381 384 396 407 426 444 471 508 521 528 568 576 592 628 639 666 704 762 781 792 814 852 888 942 1016 1042 1056 1136 1143 1152 1184 1221 1256 1278 1332 1397 1408 1413 1524 1562 1563 1584 1628 1704 1727 1776 1884 2032 2084 2112 2272 2286 2343 2368 2442 2512 2556 2627 2664 2794 2826 3048 3124 3126 3168 3256 3408 3454 3552 3663 3768 4064 4168 4191 4224 4544 4572 4686 4689 4699 4736 4884 5024 5112 5181 5254 5328 5588 5652 5731 5809 6096 6248 6252 6336 6512 6816 6908 7029 7104 7326 7536 7881 8128 8336 8382 9017 9088 9144 9372 9378 9398 9768 10048 10224 10362 10508 10656 11147 11176 11304 11462 11618 12192 12496 12504 12573 12672 13024 13632 13816 14058 14097 14208 14652 15072 15543 15762 16256 16672 16764 17193 17427 18034 18288 18744 18756 18796 19277 19536 19939 20096 20448 20724 21016 21312 22294 22352 22608 22924 23236 23643 24384 24992 25008 25146 26048 27051 27264 27632 28116 28194 28897 29304 30144 31086 31524 33344 33441 33528 34386 34854 36068 36576 36991 37488 37512 37592 38554 39072 39878 40896 41448 42032 42291 42624 44588 44704 45216 45848 46472 47286 48768 49984 50016 50292 51579 51689 52096 52281 54102 55264 56232 56388 57794 57831 58608 59817 60288 62172 63048 63899 66167 66688 66882 67056 68772 69708 72136 73152 73982 74976 75024 75184 77108 78144 79756 81153 81792 81797 82896 84064 84582 86691 89176 89408 90432 91696 92944 94572 99187 99968 100032 100323 100584 103158 103378 104562 108204 110528 110973 112464 112776 115588 115662 117216 119634 122617 124344 126096 127798 132334 133764 134112 137544 139416 144272 146304 147964 149952 150048 150368 154216 155067 156288 159512 162306 163594 165792 168128 169164 173382 173493 178352 178816 179451 180864 183392 185888 189144 191697 198374 198501 200064 200646 201168 206316 206756 209124 212047 216408 219329 221056 221946 224928 225552 231176 231324 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110696861664 113457019632 122369779136 123771294144 129811184624 131639511168 135296164256 137666001528 141612201408 146037582702 147595815552 151276026176 152208184788 163739107878 165939057504 170185529448 183554668704 194716776936 200241456768 202944246384 212418302112 218318810504 221252076672 221393723328 226914039264 244739558272 245608661817 247542588288 259622369248 270592328512 275332003056 283224402816 292075165404 300188364443 302552052352 304416369576 327478215756 331878115008 340371058896 367109337408 389433553872 405888492768 424836604224 436637621008 442787446656 453828078528 491217323634 519244738496 541184657024 550664006112 584150330808 600376728886 608832739152 654956431512 663756230016 680742117792 734218674816 778867107744 811776985536 849673208448 873275242016 900565093329 907656157056 982434647268 1038489476992 1101328012224 1168300661616 1200753457772 1217665478304 1309912863024 1361484235584 1557734215488 1623553971072 1746550484032 1801130186658 1964869294536 2202656024448 2336601323232 2401506915544 2435330956608 2619825726048 2701695279987 2722968471168 3115468430976 3493100968064 3602260373316 3929738589072 4673202646464 4803013831088 4870661913216 5239651452096 5403390559974 7204520746632 7859477178144 9346405292928 9606027662176 10479302904192 10806781119948 14409041493264 15718954356288 19212055324352 21613562239896 28818082986528 31437908712576 38424110648704 43227124479792 57636165973056 86454248959584 115272331946112 172908497919168 345816995838336
• Sum of all divisors σ(n): 1148995774218240
• Sum of proper divisors (its aliquot sum) s(n): 803178778379904
• 345816995838336 is an abundant number, because the sum of its proper divisors (803178778379904) is greater than itself. Its abundance is 457361782541568

Bases of 345816995838336

• Binary: 1001110101000010011001011001100011011100110000000₂
• Hexadecimal: 0x13A84CB31B980
• Base-36: 3EKY4ULB40

Squares and roots of 345816995838336

• 345816995838336 squared (345816995838336²) is 119589394610651698343447248896
• 345816995838336 cubed (345816995838336³) is 41356045178380860033092707736683980370477056
• The square root of 345816995838336 is 18596155.4047694493
• The cube root of 345816995838336 is 70191.1101367813

Scales and comparisons

• 345,816,995,838,336 seconds is equal to 10,995,910 years, 40 weeks, 5 days, 21 hours, 45 minutes, 36 seconds.
• To count from 1 to 345,816,995,838,336 would take you about twenty-seven million, four hundred eighty-nine thousand, seven hundred seventy-six 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 345816995838336 cubic inches would be around 5849.3 feet tall.

Recreational maths with 345816995838336

• 345816995838336 backwards is 633838599618543
• The number of decimal digits it has is: 15
• The sum of 345816995838336's digits is 81
• More coming soon!