137634432768

Names of 137634432768

• Cardinal: 137634432768 can be written as One hundred thirty-seven billion, six hundred thirty-four million, four hundred thirty-two thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.37634432768 × 10¹¹

Factors of 137634432768

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 222

Divisors of 137634432768

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 32 34 36 42 48 51 54 56 63 64 68 72 81 84 96 102 108 112 119 126 128 136 144 153 162 168 189 192 193 204 216 224 238 252 256 272 288 289 306 324 336 357 378 384 386 408 432 448 459 476 504 544 567 576 578 579 612 648 672 714 756 768 772 816 864 867 896 918 952 1008 1071 1088 1134 1152 1156 1158 1224 1296 1344 1351 1377 1428 1512 1544 1632 1728 1734 1737 1792 1836 1904 2016 2023 2142 2176 2268 2304 2312 2316 2448 2592 2601 2688 2702 2754 2856 3024 3088 3213 3264 3281 3456 3468 3474 3672 3808 4032 4046 4053 4284 4352 4536 4624 4632 4896 4913 5184 5202 5211 5376 5404 5508 5712 6048 6069 6176 6426 6528 6562 6912 6936 6948 7344 7616 7803 8064 8092 8106 8568 9072 9248 9264 9639 9792 9826 9843 10368 10404 10422 10808 11016 11424 12096 12138 12159 12352 12852 13056 13124 13872 13896 14688 14739 15232 15606 15633 16128 16184 16212 17136 18144 18207 18496 18528 19278 19584 19652 19686 20736 20808 20844 21616 22032 22848 22967 23409 24192 24276 24318 24704 25704 26248 27744 27792 29376 29478 29529 30464 31212 31266 32368 32424 34272 34391 36288 36414 36477 36992 37056 38556 39168 39304 39372 41616 41688 43232 44064 44217 45696 45934 46818 48384 48552 48636 49408 51408 52496 54621 55488 55584 55777 58752 58956 59058 62424 62532 64736 64848 68544 68782 68901 72576 72828 72954 73984 74112 77112 78608 78744 83232 83376 86464 88128 88434 88587 91392 91868 93636 97104 97272 102816 103173 104992 109242 109431 110976 111168 111554 117504 117912 118116 124848 125064 129472 129696 132651 137088 137564 137802 145152 145656 145908 148224 154224 157216 157488 163863 166464 166752 167331 172928 176256 176868 177174 183736 187272 194208 194544 205632 206346 206703 209984 218484 218862 221952 222336 223108 235824 236232 249696 250128 258944 259392 265302 265761 274176 275128 275604 291312 291816 308448 309519 314432 314976 327726 332928 333504 334662 345856 352512 353736 354348 367472 374544 388416 389088 390439 397953 411264 412692 413406 419968 436968 437724 444672 446216 471648 472464 499392 500256 501993 517888 518784 530604 531522 550256 551208 582624 583632 616896 619038 620109 628864 629952 655452 665856 667008 669324 707472 708696 734944 749088 776832 778176 780878 795906 822528 825384 826812 839936 873936 875448 892432 928557 943296 944928 948209 998784 1000512 1003986 1037568 1061208 1063044 1100512 1102416 1165248 1167264 1171317 1233792 1238076 1240218 1257728 1259904 1310904 1334016 1338648 1414944 1417392 1469888 1498176 1505979 1553664 1556352 1561756 1591812 1650768 1653624 1747872 1750896 1784864 1857114 1860327 1886592 1889856 1896418 1997568 2001024 2007972 2122416 2126088 2201024 2204832 2330496 2334528 2342634 2467584 2476152 2480436 2519808 2621808 2677296 2785671 2829888 2834784 2844627 2939776 2996352 3011958 3112704 3123512 3183624 3301536 3307248 3495744 3501792 3513951 3569728 3714228 3720654 3773184 3779712 3792836 4002048 4015944 4244832 4252176 4402048 4409664 4517937 4660992 4669056 4685268 4952304 4960872 5243616 5354592 5571342 5659776 5669568 5689254 5879552 5992704 6023916 6247024 6367248 6603072 6614496 6637463 6991488 7003584 7027902 7139456 7428456 7441308 7559424 7585672 8031888 8489664 8504352 8533881 8804096 8819328 9035874 9338112 9370536 9904608 9921744 10487232 10541853 10709184 11142684 11319552 11339136 11378508 12047832 12494048 12734496 13206144 13228992 13274926 13982976 14007168 14055804 14278912 14856912 14882616 15171344 16063776 16979328 17008704 17067762 17638656 18071748 18741072 19809216 19843488 19912389 20974464 21083706 21418368 22285368 22678272 22757016 24095664 24988096 25468992 25601643 26412288 26457984 26549852 28014336 28111608 29713824 29765232 30342688 31625559 32127552 33958656 34017408 34135524 36143496 37482144 39618432 39686976 39824778 41948928 42167412 42836736 44570736 45514032 48191328 49976192 50937984 51203286 52915968 53099704 56223216 59427648 59530464 59737167 60685376 63251118 64255104 68034816 68271048 72286992 74964288 76804929 79236864 79373952 79649556 84334824 89141472 91028064 96382656 99952384 101875968 102406572 106199408 112446432 118855296 119060928 119474334 121370752 126502236 128510208 136542096 144573984 149928576 153609858 158747904 159299112 168669648 178282944 179211501 182056128 192765312 204813144 212398816 224892864 237710592 238121856 238948668 242741504 253004472 273084192 289147968 299857152 307219716 318598224 337339296 356565888 358423002 364112256 385530624 409626288 424797632 449785728 476243712 477897336 506008944 537634503 546168384 578295936 614439432 637196448 674678592 713131776 716846004 728224512 819252576 849595264 899571456 955794672 1012017888 1075269006 1092336768 1156591872 1228878864 1274392896 1349357184 1433692008 1638505152 1699190528 1911589344 2024035776 2150538012 2184673536 2457757728 2548785792 2698714368 2867384016 3277010304 3823178688 4048071552 4301076024 4915515456 5097571584 5734768032 6554020608 7646357376 8096143104 8602152048 9831030912 11469536064 15292714752 17204304096 19662061824 22939072128 34408608192 45878144256 68817216384 137634432768
• Sum of all divisors σ(n): 500920136640
• Sum of proper divisors (its aliquot sum) s(n): 363285703872
• 137634432768 is an abundant number, because the sum of its proper divisors (363285703872) is greater than itself. Its abundance is 225651271104

Bases of 137634432768

• Binary: 10000000001011101001101100011100000000₂
• Hexadecimal: 0x200BA6C700
• Base-36: 1R87ZK00

Squares and roots of 137634432768

• 137634432768 squared (137634432768²) is 18943237083369112141824
• 137634432768 cubed (137634432768³) is 2607241690759250476011727808888832
• The square root of 137634432768 is 370991.1491774433
• The cube root of 137634432768 is 5163.0821175517

Scales and comparisons

• 137,634,432,768 seconds is equal to 4,376 years, 18 weeks, 1 day, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 137,634,432,768 would take you about eight thousand, seven hundred fifty-two 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 137634432768 cubic inches would be around 430.3 feet tall.

Recreational maths with 137634432768

• 137634432768 backwards is 867234436731
• 137634432768 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137634432768's digits is 54
• More coming soon!