135827792994816

Names of 135827792994816

• Cardinal: 135827792994816 can be written as One hundred thirty-five trillion, eight hundred twenty-seven billion, seven hundred ninety-two million, nine hundred ninety-four thousand, eight hundred sixteen.

Scientific notation

• Scientific notation: 1.35827792994816 × 10¹⁴

Factors of 135827792994816

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 10003

Divisors of 135827792994816

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 53 54 64 72 78 96 104 106 108 117 128 144 156 159 192 208 212 216 234 256 288 312 318 351 384 416 424 432 468 477 512 576 624 636 689 702 768 832 848 864 936 954 1152 1248 1272 1378 1404 1431 1536 1664 1696 1728 1741 1872 1908 2067 2304 2496 2544 2756 2808 2862 3328 3392 3456 3482 3744 3816 4134 4608 4992 5088 5223 5512 5616 5724 6201 6656 6784 6912 6964 7488 7632 8191 8268 9984 10176 10446 11024 11232 11448 12402 13568 13824 13928 14976 15264 15669 16382 16536 18603 19968 20352 20892 22048 22464 22633 22896 24573 24804 27136 27856 29952 30528 31338 32764 33072 37206 40704 41784 44096 44928 45266 45792 47007 49146 49608 55712 59904 61056 62676 65528 66144 67899 73719 74412 81408 83568 88192 89856 90532 91584 92273 94014 98292 99216 106483 111424 122112 125352 131056 132288 135798 147438 148824 167136 176384 179712 181064 183168 184546 188028 196584 198432 203697 212966 221157 222848 244224 250704 262112 264576 271596 276819 294876 297648 319449 334272 352768 362128 366336 369092 376056 393168 396864 407394 425932 434123 442314 445696 501408 524224 529152 543192 553638 589752 595296 611091 638898 668544 724256 732672 738184 752112 786336 793728 814788 830457 851864 868246 884628 891392 958347 1002816 1048448 1058304 1086384 1107276 1179504 1190592 1199549 1222182 1277796 1302369 1337088 1448512 1476368 1504224 1572672 1587456 1629576 1660914 1703728 1736492 1769256 1916694 2005632 2096896 2172768 2214552 2359008 2381184 2399098 2444364 2491371 2555592 2604738 2674176 2875041 2897024 2952736 3008448 3145344 3174912 3259152 3321828 3407456 3472984 3538512 3598647 3833388 3907107 4011264 4193792 4345536 4429104 4718016 4762368 4798196 4888728 4982742 5111184 5209476 5643599 5750082 5794048 5905472 6016896 6290688 6518304 6643656 6814912 6945968 7077024 7197294 7666776 7814214 8022528 8691072 8858208 9436032 9524736 9596392 9777456 9965484 10222368 10418952 10795941 11287198 11500164 11588096 11721321 11810944 12033792 12581376 13036608 13287312 13629824 13891936 14154048 14260531 14394588 15333552 15628428 16930797 17382144 17716416 18872064 19192784 19554912 19930968 20444736 20837904 21591882 22574396 23000328 23442642 23621888 24067584 26073216 26574624 27259648 27783872 28308096 28521062 28789176 30667104 31256856 32387823 33861594 34764288 35432832 37744128 38385568 39109824 39861936 40889472 41675808 42781593 43183764 45148792 46000656 46885284 47243776 50792391 52146432 53149248 54519296 55567744 56616192 57042124 57578352 61334208 62513712 64775646 67723188 70865664 76771136 78219648 79723872 81778944 83351616 85563186 86367528 90297584 92001312 93770568 101584782 104292864 106298496 111135488 113232384 114084248 115156704 122668416 125027424 128344779 129551292 135446376 141731328 152377173 153542272 156439296 159447744 163557888 166703232 171126372 172735056 180595168 184002624 185386903 187541136 203169564 212596992 222270976 228168496 230313408 245336832 250054848 256689558 259102584 270892752 304754346 307084544 312878592 318895488 333406464 342252744 345470112 361190336 368005248 370773806 375082272 385034337 406339128 425193984 456336992 460626816 490673664 500109696 513379116 518205168 541785504 556160709 609508692 614169088 637790976 666812928 684505488 690940224 722380672 736010496 741547612 750164544 755808143 770068674 812678256 912673984 921253632 1000219392 1026758232 1036410336 1083571008 1112321418 1219017384 1275581952 1369010976 1381880448 1444761344 1472020992 1483095224 1500329088 1511616286 1540137348 1625356512 1668482127 1825347968 1842507264 2000438784 2053516464 2072820672 2167142016 2224642836 2267424429 2438034768 2738021952 2763760896 2889522688 2966190448 3000658176 3023232572 3080274696 3250713024 3336964254 3650695936 4107032928 4145641344 4334284032 4449285672 4534848858 4876069536 5005446381 5476043904 5527521792 5932380896 6001316352 6046465144 6160549392 6501426048 6673928508 6802273287 7301391872 8214065856 8291282688 8668568064 8898571344 9069697716 9752139072 9825505859 10010892762 10952087808 11864761792 12092930288 12321098784 13002852096 13347857016 13604546574 16428131712 16582565376 17797142688 18139395432 19504278144 19651011718 20021785524 20406819861 21904175616 23729523584 24185860576 24642197568 26005704192 26695714032 27209093148 29476517577 32856263424 35594285376 36278790864 39008556288 39302023436 40043571048 40813639722 47459047168 48371721152 49284395136 53391428064 54418186296 58953035154 65712526848 71188570752 72557581728 78017112576 78604046872 80087142096 81627279444 88429552731 94918094336 96743442304 98568790272 106782856128 108836372592 117906070308 142377141504 145115163456 157208093744 160174284192 163254558888 176859105462 193486884608 197137580544 213565712256 217672745184 235812140616 265288658193 284754283008 290230326912 314416187488 320348568384 326509117776 353718210924 386973769216 427131424512 435345490368 471624281232 530577316386 580460653824 628832374976 640697136768 653018235552 707436421848 854262849024 870690980736 943248562464 1061154632772 1160921307648 1257664749952 1281394273536 1306036471104 1414872843696 1741381961472 1886497124928 2122309265544 2515329499904 2562788547072 2612072942208 2829745687392 3482763922944 3772994249856 4244618531088 5030658999808 5224145884416 5659491374784 7545988499712 8489237062176 10448291768832 11318982749568 15091976999424 16978474124352 22637965499136 33956948248704 45275930998272 67913896497408 135827792994816
• Sum of all divisors σ(n): 441464224481280
• Sum of proper divisors (its aliquot sum) s(n): 305636431486464
• 135827792994816 is an abundant number, because the sum of its proper divisors (305636431486464) is greater than itself. Its abundance is 169808638491648

Bases of 135827792994816

• Binary: 11110111000100011011111010110100010001000000000₂
• Hexadecimal: 0x7B88DF5A2200
• Base-36: 1C5AFCZ9C0

Squares and roots of 135827792994816

• 135827792994816 squared (135827792994816²) is 18449189349842586442202873856
• 135827792994816 cubed (135827792994816³) is 2505912671932582816266554446001500109930496
• The square root of 135827792994816 is 11654518.1365346891
• The cube root of 135827792994816 is 51403.9171207155

Scales and comparisons

• 135,827,792,994,816 seconds is equal to 4,318,903 years, 35 weeks, 10 hours, 33 minutes, 36 seconds.
• To count from 1 to 135,827,792,994,816 would take you about ten million, seven hundred ninety-seven thousand, two hundred fifty-nine 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 135827792994816 cubic inches would be around 4283.7 feet tall.

Recreational maths with 135827792994816

• 135827792994816 backwards is 618499297728531
• The number of decimal digits it has is: 15
• The sum of 135827792994816's digits is 81
• More coming soon!