137128836881296

Names of 137128836881296

• Cardinal: 137128836881296 can be written as One hundred thirty-seven trillion, one hundred twenty-eight billion, eight hundred thirty-six million, eight hundred eighty-one thousand, two hundred ninety-six.

Scientific notation

• Scientific notation: 1.37128836881296 × 10¹⁴

Factors of 137128836881296

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 254

Divisors of 137128836881296

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 4 8 13 16 17 26 34 52 68 73 104 136 146 149 169 208 221 272 289 292 298 338 442 578 584 596 676 884 949 1156 1168 1192 1241 1352 1768 1898 1937 2197 2312 2384 2482 2533 2704 2873 3536 3757 3796 3874 4394 4624 4913 4964 5066 5329 5746 7514 7592 7748 8788 9826 9928 10132 10658 10877 11492 12337 15028 15184 15496 16133 17576 19652 19856 20264 21097 21316 21754 22984 24674 25181 30056 30992 32266 32929 35152 37349 39304 40528 42194 42632 43061 43508 45968 48841 49348 50362 60112 63869 64532 65858 69277 74698 78608 84388 85264 86122 87016 90593 97682 98696 100724 127738 129064 131716 138554 141401 149396 160381 168776 172244 174032 181186 184909 195364 197392 201448 209729 255476 258128 263432 274261 277108 282802 298792 320762 327353 337552 344488 358649 362372 369818 390728 402896 419458 428077 510952 526864 548522 554216 559793 565604 597584 634933 641524 654706 688976 717298 724744 732037 739636 781456 794021 830297 838916 856154 900601 1021904 1097044 1108432 1119586 1131208 1177709 1269866 1283048 1309412 1434596 1449488 1464074 1479272 1540081 1588042 1660594 1677832 1712308 1801202 1838213 2194088 2239172 2262416 2355418 2403817 2539732 2566096 2618824 2726477 2869192 2928148 2958544 3080162 3143453 3176084 3321188 3355664 3424616 3565393 3602404 3676426 4388176 4478344 4662437 4710836 4807634 5079464 5237648 5452954 5565001 5738384 5856296 6160324 6286906 6352168 6642376 6849232 7130786 7204808 7277309 7352852 8956688 9324874 9421672 9516481 9615268 10158928 10322273 10793861 10905908 11130002 11707813 11712592 12320648 12573812 12704336 13284752 13498357 14261572 14409616 14554618 14705704 15310217 18649748 18843344 19032962 19230536 20021053 20644546 21587722 21811816 22260004 23415626 23896769 24641296 25147624 26181377 26996714 28523144 29109236 29411408 30620434 31249621 37299496 38065924 38461072 40042106 40864889 41289092 43175444 43623632 44520008 46350109 46831252 47793538 50295248 52362754 53438701 53993428 57046288 58218472 60611681 61240868 62499242 74598992 76131848 80084212 81729778 82578184 86350888 89040016 92700218 93662504 94605017 95587076 104725508 106877402 107986856 116436944 121223362 122481736 123714253 124998484 134189549 152263696 160168424 163459556 165156368 172701776 175478641 185400436 187325008 189210034 191174152 199032821 209451016 213754804 215973712 229472069 242446724 244963472 247428506 249996968 260273689 268379098 320336848 326919112 340357901 350957282 370800872 378420068 382348304 398065642 406245073 418902032 427509608 458944138 484893448 494857012 499993936 520547378 531243557 536758196 653838224 680715802 694703113 701914564 741601744 756840136 787951853 796131284 812490146 855019216 917888276 969786896 989714024 1041094756 1062487114 1073516392 1361431604 1389406226 1403829128 1513680272 1575903706 1592262568 1608285289 1624980292 1744464137 1835776552 1979428048 2082189512 2124974228 2147032784 2281222333 2722863208 2778812452 2807658256 2983136897 3151807412 3184525136 3216570578 3249960584 3383557957 3488928274 3671553104 3901025173 4164379024 4249948456 4424652713 4562444666 5445726416 5557624904 5966273794 6303614824 6433141156 6499921168 6767115914 6906166241 6977856548 7802050346 8499896912 8849305426 9031140469 9124889332 11115249808 11932547588 12607229648 12866282312 13534231828 13812332482 13955713096 15604100692 17698610852 18062280938 18249778664 23865095176 25732564624 27068463656 27624664964 27911426192 29655890329 31208201384 35397221704 36124561876 36499557328 38780779661 47730190352 50713327249 54136927312 55249329928 57520485269 59311780658 62416402768 70794443408 72249123752 77561559322 101426654498 110498659856 115040970538 117404826097 118623561316 144498247504 155123118644 202853308996 230081941076 234809652194 237247122632 310246237288 405706617992 460163882152 469619304388 474494245264 504150135593 620492474576 659273254237 811413235984 920327764304 939238608776 1008300271186 1318546508474 1878477217552 2016600542372 2637093016948 4033201084744 5274186033896 8066402169488 8570552305081 10548372067792 17141104610162 34282209220324 68564418440648 137128836881296
• Sum of all divisors σ(n): 312129905220000
• Sum of proper divisors (its aliquot sum) s(n): 175001068338704
• 137128836881296 is an abundant number, because the sum of its proper divisors (175001068338704) is greater than itself. Its abundance is 37872231457408

Bases of 137128836881296

• Binary: 11111001011011111001011100111000101101110010000₂
• Hexadecimal: 0x7CB7CB9C5B90
• Base-36: 1CLW48X11S

Squares and roots of 137128836881296

• 137128836881296 squared (137128836881296²) is 18804317904417086079594639616
• 137128836881296 cubed (137128836881296³) is 2578614242578844424497776575984004491022336
• The square root of 137128836881296 is 11710202.2562078747
• The cube root of 137128836881296 is 51567.5221880739

Scales and comparisons

• 137,128,836,881,296 seconds is equal to 4,360,272 years, 43 weeks, 6 days, 18 hours, 8 minutes, 16 seconds.
• To count from 1 to 137,128,836,881,296 would take you about ten million, nine hundred thousand, six hundred eighty-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 137128836881296 cubic inches would be around 4297.3 feet tall.

Recreational maths with 137128836881296

• 137128836881296 backwards is 692188638821731
• 137128836881296 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137128836881296's digits is 73
• More coming soon!