137235283722432

Names of 137235283722432

• Cardinal: 137235283722432 can be written as One hundred thirty-seven trillion, two hundred thirty-five billion, two hundred eighty-three million, seven hundred twenty-two thousand, four hundred thirty-two.

Scientific notation

• Scientific notation: 1.37235283722432 × 10¹⁴

Factors of 137235283722432

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 456

Divisors of 137235283722432

• Number of divisors d(n): 756
• 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 98 108 112 126 127 144 147 168 189 192 196 216 224 252 254 288 294 317 336 378 381 392 432 441 448 504 508 576 588 634 672 756 762 784 864 882 889 951 1008 1016 1143 1176 1268 1323 1344 1512 1524 1568 1728 1764 1778 1902 2016 2032 2219 2286 2352 2536 2646 2667 2853 3024 3048 3136 3429 3528 3556 3804 4032 4064 4438 4572 4704 5072 5292 5334 5706 6048 6096 6223 6657 6858 7056 7112 7608 8001 8128 8559 8876 9144 9408 10144 10584 10668 11412 12096 12192 12446 13314 13716 14112 14224 15216 15533 16002 16129 17118 17752 18288 18669 19971 20288 21168 21336 22824 24003 24384 24892 26628 27432 28224 28448 30432 31066 32004 32258 34236 35504 36576 37338 39942 40259 42336 42672 45648 46599 48006 48387 49784 53256 54864 56007 56896 59913 60864 62132 64008 64516 68472 71008 73152 74676 79884 80518 84672 85344 91296 93198 96012 96774 99568 100489 106512 109728 112014 112903 119826 120777 124264 128016 129032 136944 139797 142016 145161 149352 159768 161036 168021 170688 182592 186396 192024 193548 199136 200978 213024 219456 224028 225806 239652 241554 248528 256032 258064 273888 279594 281813 290322 298704 301467 319536 322072 336042 338709 362331 372792 384048 387096 398272 401956 419391 426048 435483 448056 451612 479304 483108 497056 512064 516128 547776 559188 563626 580644 597408 602934 639072 644144 672084 677418 703423 724662 745584 768096 774192 790321 803912 838782 845439 870966 896112 903224 904401 958608 966216 994112 1016127 1032256 1086993 1118376 1127252 1161288 1194816 1205868 1278144 1288288 1344168 1354836 1406846 1449324 1491168 1536192 1548384 1580642 1607824 1677564 1690878 1741932 1792224 1806448 1808802 1917216 1932432 1972691 2032254 2110269 2173986 2236752 2254504 2322576 2370963 2411736 2536317 2576576 2688336 2709672 2713203 2813692 2898648 2982336 3048381 3096768 3161284 3215648 3355128 3381756 3483864 3584448 3612896 3617604 3834432 3864864 3945382 4064508 4220538 4347972 4473504 4509008 4645152 4741926 4823472 4923961 5072634 5112893 5376672 5419344 5426406 5627384 5797296 5918073 6096762 6322568 6330807 6431296 6710256 6763512 6967728 7112889 7225792 7235208 7608951 7729728 7890764 8129016 8441076 8695944 8947008 9018016 9290304 9483852 9646944 9847922 10145268 10225786 10753344 10838688 10852812 11254768 11594592 11836146 12193524 12645136 12661614 12762103 13420512 13527024 13935456 14225778 14470416 14771883 15217902 15338679 15781528 16258032 16882152 17391888 17754219 18036032 18967704 18992421 19293888 19695844 20290536 20451572 21338667 21677376 21705624 22509536 23189184 23672292 24387048 25290272 25323228 25524206 26841024 27054048 27870912 28451556 28940832 29543766 30435804 30677358 31563056 32516064 33764304 34783776 35508438 35790251 37935408 37984842 38286309 39391688 40581072 40903144 42677334 43411248 44315649 45019072 46016037 47344584 48774096 50580544 50646456 51048412 53262657 54108096 56903112 57881664 59087532 60871608 61354716 63126112 65032128 67528608 69567552 71016876 71580502 75870816 75969684 76572618 78783376 81162144 81806288 85354668 86822496 88631298 89334721 92032074 94689168 97548192 101292912 102096824 106525314 107370753 113806224 114858927 118175064 121743216 122709432 126252224 132946947 135057216 138048111 142033752 143161004 151741632 151939368 153145236 157566752 162324288 163612576 170709336 173644992 177262596 178669442 184064148 189378336 195096384 202585824 204193648 213050628 214741506 227612448 229717854 236350128 243486432 245418864 250531757 265893894 268004163 276096222 284067504 286322008 303878736 306290472 315133504 322112259 327225152 341418672 344576781 354525192 357338884 368128296 378756672 405171648 408387296 426101256 429483012 455224896 459435708 472700256 486972864 490837728 501063514 531787788 536008326 552192444 568135008 572644016 607757472 612580944 625343047 644224518 682837344 689153562 709050384 714677768 736256592 751595271 804012489 816774592 852202512 858966024 918871416 945400512 966336777 981675456 1002127028 1063575576 1072016652 1104384888 1136270016 1145288032 1215514944 1225161888 1250686094 1288449036 1365674688 1378307124 1418100768 1429355536 1472513184 1503190542 1608024978 1620787081 1704405024 1717932048 1837742832 1876029141 1932673554 2004254056 2127151152 2144033304 2208769776 2254785813 2290576064 2412037467 2450323776 2501372188 2576898072 2756614248 2836201536 2858711072 2945026368 3006381084 3216049956 3241574162 3408810048 3435864096 3675485664 3752058282 3865347108 4008508112 4254302304 4288066608 4417539552 4509571626 4824074934 4862361243 5002744376 5153796144 5513228496 5628087423 5717422144 6012762168 6432099912 6483148324 6764357439 6871728192 7350971328 7504116564 7730694216 8017016224 8508604608 8576133216 8835079104 9019143252 9648149868 9724722486 10005488752 10307592288 11026456992 11256174846 11345509567 12025524336 12864199824 12966296648 13528714878 14587083729 15008233128 15461388432 16034032448 16884262269 17152266432 18038286504 19296299736 19449444972 20010977504 20615184576 22052913984 22512349692 22691019134 24051048672 25728399648 25932593296 27057429756 29174167458 30016466256 30922776864 33768524538 34036528701 36076573008 38592599472 38898889944 40021955008 43761251187 45024699384 45382038268 48102097344 51456799296 51865186592 54114859512 58348334916 60032932512 61845553728 67537049076 68073057402 72153146016 77185198944 77797779888 79418566969 87522502374 90049398768 90764076536 102109586103 103730373184 108229719024 116696669832 120065865024 135074098152 136146114804 144306292032 154370397888 155595559776 158837133938 175045004748 180098797536 181528153072 204219172206 216459438048 233393339664 238255700907 270148196304 272292229608 306328758309 311191119552 317674267876 350090009496 360197595072 363056306144 408438344412 432918876096 466786679328 476511401814 540296392608 544584459216 612657516618 635348535752 700180018992 714767102721 726112612288 816876688824 933573358656 953022803628 1080592785216 1089168918432 1225315033236 1270697071504 1400360037984 1429534205442 1633753377648 1906045607256 2144301308163 2178337836864 2450630066472 2541394143008 2800720075968 2859068410884 3267506755296 3812091214512 4288602616326 4901260132944 5082788286016 5718136821768 6535013510592 7624182429024 8577205232652 9802520265888 11436273643536 15248364858048 17154410465304 19605040531776 22872547287072 34308820930608 45745094574144 68617641861216 137235283722432
• Sum of all divisors σ(n): 474536545174440
• Sum of proper divisors (its aliquot sum) s(n): 337301261452008
• 137235283722432 is an abundant number, because the sum of its proper divisors (337301261452008) is greater than itself. Its abundance is 200065977729576

Bases of 137235283722432

• Binary: 11111001101000010010100010101100100000011000000₂
• Hexadecimal: 0x7CD0945640C0
• Base-36: 1CN90OM9C0

Squares and roots of 137235283722432

• 137235283722432 squared (137235283722432²) is 18833523098376409458419994624
• 137235283722432 cubed (137235283722432³) is 2584623885898663151556410932948392148205568
• The square root of 137235283722432 is 11714746.4216017925
• The cube root of 137235283722432 is 51580.8619062565

Scales and comparisons

• 137,235,283,722,432 seconds is equal to 4,363,657 years, 27 weeks, 2 days, 9 hours, 7 minutes, 12 seconds.
• To count from 1 to 137,235,283,722,432 would take you about ten million, nine hundred nine thousand, one hundred forty-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 137235283722432 cubic inches would be around 4298.4 feet tall.

Recreational maths with 137235283722432

• 137235283722432 backwards is 234227382532731
• 137235283722432 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137235283722432's digits is 54
• More coming soon!