137059034115168

Names of 137059034115168

• Cardinal: 137059034115168 can be written as One hundred thirty-seven trillion, fifty-nine billion, thirty-four million, one hundred fifteen thousand, one hundred sixty-eight.

Scientific notation

• Scientific notation: 1.37059034115168 × 10¹⁴

Factors of 137059034115168

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 207

Divisors of 137059034115168

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 121 132 144 162 176 191 198 216 242 243 264 288 297 324 352 363 382 396 432 484 486 528 573 594 648 726 729 764 792 864 891 968 972 1056 1089 1146 1188 1296 1331 1452 1458 1528 1584 1719 1782 1936 1944 2101 2178 2292 2376 2592 2662 2673 2904 2916 3056 3168 3267 3438 3564 3872 3888 3993 4202 4356 4584 4752 5157 5324 5346 5808 5832 6112 6303 6534 6876 7128 7776 7986 8019 8404 8712 9168 9504 9801 10314 10648 10692 11616 11664 11979 12606 13068 13752 14256 14641 15471 15972 16038 16808 17424 18336 18909 19602 20628 21296 21384 23111 23328 23958 25212 26136 27504 28512 29282 29403 30942 31944 32076 33616 34848 35937 36481 37818 39204 41256 42592 42768 43923 46222 46413 47916 50424 52272 55008 56727 58564 58806 61884 63888 64152 67232 69333 71874 72962 75636 78408 82512 85536 87846 88209 92444 92826 95832 100848 104544 107811 109443 113454 117128 117612 123768 127776 128304 131769 138666 139239 143748 145924 151272 156816 161051 165024 170181 175692 176418 184888 185652 191664 201696 207999 215622 218886 226908 234256 235224 247536 254221 256608 263538 277332 278478 287496 291848 302544 313632 322102 323433 328329 340362 351384 352836 369776 371304 383328 395307 401291 415998 431244 437772 453816 468512 470448 483153 495072 508442 510543 527076 554664 556956 574992 583696 605088 623997 644204 646866 656658 680724 702768 705672 739552 742608 762663 790614 802582 831996 862488 875544 907632 940896 966306 970299 984987 1016884 1021086 1054152 1109328 1113912 1149984 1167392 1185921 1203873 1247994 1288408 1293732 1313316 1361448 1405536 1411344 1449459 1485216 1525326 1531629 1581228 1605164 1663992 1724976 1751088 1815264 1871991 1932612 1940598 1969974 2033768 2042172 2108304 2218656 2227824 2287989 2371842 2407746 2495988 2576816 2587464 2626632 2722896 2796431 2822688 2898918 2954961 3050652 3063258 3162456 3210328 3327984 3449952 3502176 3557763 3611619 3743982 3865224 3881196 3939948 4067536 4084344 4216608 4348377 4414201 4455648 4575978 4743684 4815492 4991976 5153632 5174928 5253264 5445792 5592862 5615973 5797836 5909922 6101304 6126516 6324912 6420656 6655968 6863967 7115526 7223238 7487964 7730448 7762392 7879896 8135072 8168688 8389293 8696754 8828402 8864883 9151956 9487368 9630984 9983952 10349856 10506528 10673289 10834857 11185724 11231946 11595672 11819844 12202608 12253032 12649824 12841312 13045131 13242603 13727934 14231052 14446476 14975928 15460896 15524784 15759792 16337376 16778586 16847919 17393508 17656804 17729766 18303912 18974736 19261968 19967904 20591901 21346578 21669714 22371448 22463892 23191344 23639688 24405216 24506064 25167879 26090262 26485206 26594649 27455868 28462104 28892952 29951856 30760741 31049568 31519584 32504571 33557172 33695838 34787016 35313608 35459532 36607824 37949472 38523936 39135393 39727809 41183802 42693156 43339428 44742896 44927784 46382688 47279376 48556211 49012128 50335758 52180524 52970412 53189298 54911736 56924208 57785904 59903712 61521482 61775703 65009142 67114344 67391676 69574032 70627216 70919064 73215648 75503637 78270786 79455618 82367604 85386312 86678856 89485792 89855568 92282223 94558752 97112422 97513713 100671516 104361048 105940824 106378596 109823472 113848416 115571808 117406179 119183427 123042964 123551406 130018284 134228688 134783352 139148064 141254432 141838128 145668633 151007274 156541572 158911236 164735208 170772624 173357712 179711136 184564446 185327109 194224844 195027426 201343032 208722096 211881648 212757192 219646944 226510911 234812358 238366854 246085928 247102812 260036568 268457376 269566704 276846669 283676256 291337266 292541139 302014548 313083144 317822472 329470416 341545248 346715424 357550281 369128892 370654218 388449688 390054852 402686064 417444192 423763296 425514384 437005899 453021822 469624716 476733708 492171856 494205624 520073136 534118321 539133408 553693338 582674532 585082278 604029096 626166288 635644944 658940832 679532733 715100562 738257784 741308436 776899376 780109704 805372128 830540007 851028768 874011798 906043644 939249432 953467416 984343712 988411248 1040146272 1068236642 1072650843 1107386676 1165349064 1170164556 1208058192 1252332576 1271289888 1311017697 1359065466 1430201124 1476515568 1482616872 1553798752 1560219408 1602354963 1661080014 1748023596 1812087288 1878498864 1906934832 1976822496 2038598199 2136473284 2145301686 2214773352 2330698128 2340329112 2416116384 2491620021 2622035394 2718130932 2860402248 2953031136 2965233744 3120438816 3204709926 3217952529 3322160028 3496047192 3624174576 3756997728 3813869664 3933053091 4077196398 4272946568 4290603372 4429546704 4661396256 4680658224 4807064889 4983240042 5244070788 5436261864 5720804496 5875301531 5930467488 6409419852 6435905058 6644320056 6992094384 7248349152 7474860063 7866106182 8154392796 8545893136 8581206744 8859093408 9361316448 9614129778 9966480084 10488141576 10872523728 11441608992 11750603062 11799159273 12818839704 12871810116 13288640112 13984188768 14421194667 14949720126 15732212364 16308785592 17091786272 17162413488 17625904593 19228259556 19932960168 20976283152 21745047456 22424580189 23501206124 23598318546 25637679408 25743620232 26577280224 28842389334 29899440252 31464424728 32617571184 34324826976 35251809186 35397477819 38456519112 39865920336 41952566304 43263584001 44849160378 47002412248 47196637092 51275358816 51487240464 52877713779 57684778668 59798880504 62928849456 65235142368 70503618372 70794955638 76913038224 79731840672 86527168002 89698320756 94004824496 94393274184 102974480928 105755427558 115369557336 119597761008 125857698912 129790752003 141007236744 141589911276 153826076448 158633141337 173054336004 179396641512 188009648992 188786548368 211510855116 230739114672 239195522016 259581504006 282014473488 283179822552 317266282674 346108672008 358793283024 377573096736 389372256009 423021710232 461478229344 475899424011 519163008012 564028946976 566359645104 634532565348 692217344016 717586566048 778744512018 846043420464 951798848022 1038326016024 1132719290208 1269065130696 1384434688032 1427698272033 1557489024036 1692086840928 1903597696044 2076652032048 2538130261392 2855396544066 3114978048072 3807195392088 4153304064096 4283094816099 5076260522784 5710793088132 6229956096144 7614390784176 8566189632198 11421586176264 12459912192288 15228781568352 17132379264396 22843172352528 34264758528792 45686344705056 68529517057584 137059034115168
• Sum of all divisors σ(n): 447366042451692
• Sum of proper divisors (its aliquot sum) s(n): 310307008336524
• 137059034115168 is an abundant number, because the sum of its proper divisors (310307008336524) is greater than itself. Its abundance is 173247974221356

Bases of 137059034115168

• Binary: 11111001010011110001011000010101010110001100000₂
• Hexadecimal: 0x7CA78B0AAC60
• Base-36: 1CL01U5I00

Squares and roots of 137059034115168

• 137059034115168 squared (137059034115168²) is 18785178832582785668687668224
• 137059034115168 cubed (137059034115168³) is 2574678466474495804570270114385356990021632
• The square root of 137059034115168 is 11707221.4515301623
• The cube root of 137059034115168 is 51558.7708884275

Scales and comparisons

• 137,059,034,115,168 seconds is equal to 4,358,053 years, 17 weeks, 2 days, 8 hours, 52 minutes, 48 seconds.
• To count from 1 to 137,059,034,115,168 would take you about ten million, eight hundred ninety-five thousand, one hundred thirty-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 137059034115168 cubic inches would be around 4296.6 feet tall.

Recreational maths with 137059034115168

• 137059034115168 backwards is 861511430950731
• 137059034115168 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137059034115168's digits is 54
• More coming soon!