137862819072

Names of 137862819072

• Cardinal: 137862819072 can be written as One hundred thirty-seven billion, eight hundred sixty-two million, eight hundred nineteen thousand and seventy-two.

Scientific notation

• Scientific notation: 1.37862819072 × 10¹¹

Factors of 137862819072

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 211

Divisors of 137862819072

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 32 33 36 44 48 54 62 64 66 67 72 81 88 93 96 97 99 108 124 128 132 134 144 162 176 186 192 194 198 201 216 243 248 256 264 268 279 288 291 297 324 341 352 372 384 388 396 402 432 486 496 528 536 558 576 582 594 603 648 682 704 737 744 768 776 792 804 837 864 873 891 972 992 1023 1056 1067 1072 1116 1152 1164 1188 1206 1296 1364 1408 1474 1488 1552 1584 1608 1674 1728 1746 1782 1809 1944 1984 2046 2077 2112 2134 2144 2211 2232 2304 2328 2376 2412 2511 2592 2619 2673 2728 2816 2948 2976 3007 3069 3104 3168 3201 3216 3348 3456 3492 3564 3618 3888 3968 4092 4154 4224 4268 4288 4422 4464 4656 4752 4824 5022 5184 5238 5346 5427 5456 5896 5952 6014 6138 6208 6231 6336 6402 6432 6499 6633 6696 6912 6984 7128 7236 7533 7776 7857 7936 8184 8308 8448 8536 8576 8844 8928 9021 9207 9312 9504 9603 9648 10044 10368 10476 10692 10854 10912 11792 11904 12028 12276 12416 12462 12672 12804 12864 12998 13266 13392 13968 14256 14472 15066 15552 15714 16281 16368 16616 17072 17152 17688 17856 18042 18414 18624 18693 19008 19206 19296 19497 19899 20088 20736 20952 21384 21708 21824 22847 23571 23584 23808 24056 24552 24832 24924 25344 25608 25728 25996 26532 26784 27063 27621 27936 28512 28809 28944 30132 31104 31428 32562 32736 33077 33232 34144 35376 35712 36084 36828 37248 37386 38016 38412 38592 38994 39798 40176 41904 42768 43416 43648 45694 47142 47168 48112 49104 49848 51216 51456 51992 53064 53568 54126 55242 55872 56079 57024 57618 57888 58491 59697 60264 62208 62856 65124 65472 66154 66464 68288 68541 70752 71424 71489 72168 73656 74496 74772 76032 76824 77184 77988 79596 80352 81189 82863 83808 85536 86427 86832 87296 91388 94284 94336 96224 98208 99231 99696 102432 103984 106128 107136 108252 110484 111744 112158 114048 115236 115776 116982 119394 120528 125712 130248 130944 132308 132928 136576 137082 141504 142978 144336 147312 149544 153648 154368 155976 159192 160704 162378 165726 167616 168237 171072 172854 173664 175473 179091 182776 188568 188672 192448 196416 198462 199392 201469 204864 205623 207968 212256 214272 214467 216504 220968 223488 224316 228096 230472 231552 233964 238788 241056 243567 251424 259281 260496 261888 264616 265856 273152 274164 283008 285956 288672 294624 297693 299088 307296 311952 318384 321408 324756 331452 335232 336474 342144 345708 347328 350946 358182 365552 377136 384896 392832 396924 398784 402938 409728 411246 415936 424512 428934 433008 441936 448632 460944 463104 467928 477576 482112 487134 502848 504711 518562 520992 526419 529232 531712 548328 566016 571912 577344 589248 595386 598176 604407 614592 616869 623904 636768 642816 643401 649512 662904 670464 672948 684288 691416 694656 701892 716364 730701 731104 754272 769792 785664 793848 797568 805876 819456 822492 831872 849024 857868 866016 883872 893079 897264 921888 935856 955152 964224 974268 1005696 1009422 1037124 1041984 1052838 1058464 1096656 1143824 1154688 1178496 1190772 1196352 1208814 1229184 1233738 1247808 1273536 1286802 1299024 1325808 1345896 1382832 1389312 1403784 1432728 1461402 1462208 1508544 1579257 1587696 1595136 1611752 1644984 1663744 1698048 1715736 1732032 1767744 1786158 1794528 1813221 1843776 1850607 1871712 1910304 1928448 1930203 1948536 2011392 2018844 2074248 2083968 2105676 2116928 2193312 2216159 2287648 2309376 2356992 2381544 2392704 2417628 2458368 2467476 2495616 2547072 2573604 2598048 2651616 2679237 2691792 2765664 2807568 2865456 2922804 2924416 3017088 3158514 3175392 3223504 3289968 3431472 3464064 3535488 3572316 3589056 3626442 3687552 3701214 3743424 3820608 3860406 3897072 4037688 4148496 4167936 4211352 4233856 4386624 4432318 4575296 4763088 4785408 4835256 4934952 4991232 5094144 5147208 5196096 5303232 5358474 5383584 5439663 5531328 5551821 5615136 5730912 5790609 5845608 5848832 6034176 6317028 6350784 6447008 6579936 6648477 6862944 6928128 7070976 7144632 7178112 7252884 7375104 7402428 7486848 7641216 7720812 7794144 8037711 8075376 8296992 8422704 8467712 8773248 8864636 9150592 9526176 9670512 9869904 10294416 10392192 10606464 10716948 10767168 10879326 11062656 11103642 11230272 11461824 11581218 11691216 12634056 12701568 12894016 13159872 13296954 13725888 14289264 14356224 14505768 14804856 14973696 15282432 15441624 15588288 16075422 16150752 16318989 16593984 16845408 17371827 17546496 17729272 18301184 19052352 19341024 19739808 19945431 20588832 20784384 21212928 21433896 21534336 21758652 22125312 22207284 22460544 22923648 23162436 23382432 25268112 25403136 25788032 26319744 26593908 27451776 28578528 29011536 29609712 30883248 31176576 32150844 32301504 32637978 33187968 33690816 34743654 35458544 38104704 38682048 39479616 39890862 41177664 42867792 43068672 43517304 44414568 44921088 45847296 46324872 46764864 48956967 50536224 51576064 52639488 53187816 54903552 57157056 58023072 59219424 59836293 61766496 62353152 64301688 64603008 65275956 66375936 67381632 69487308 70917088 76209408 77364096 78959232 79781724 82355328 85735584 87034608 88829136 92649744 93529728 97913934 101072448 106375632 114314112 116046144 118438848 119672586 123532992 128603376 129206016 130551912 134763264 138974616 141834176 154728192 157918464 159563448 164710656 171471168 174069216 177658272 179508879 185299488 187059456 195827868 202144896 212751264 228628224 232092288 236877696 239345172 247065984 257206752 261103824 277949232 283668352 319126896 342942336 348138432 355316544 359017758 370598976 391655736 404289792 425502528 464184576 473755392 478690344 494131968 514413504 522207648 538526637 555898464 567336704 638253792 685884672 696276864 710633088 718035516 741197952 783311472 851005056 957380688 1028827008 1044415296 1077053274 1111796928 1276507584 1392553728 1421266176 1436071032 1482395904 1566622944 1702010112 1914761376 2057654016 2088830592 2154106548 2223593856 2553015168 2872142064 3133245888 3829522752 4177661184 4308213096 4447187712 5106030336 5744284128 6266491776 7659045504 8616426192 11488568256 12532983552 15318091008 17232852384 22977136512 34465704768 45954273024 68931409536 137862819072
• Sum of all divisors σ(n): 475979771904
• Sum of proper divisors (its aliquot sum) s(n): 338116952832
• 137862819072 is an abundant number, because the sum of its proper divisors (338116952832) is greater than itself. Its abundance is 200254133760

Bases of 137862819072

• Binary: 10000000011001010000111010110100000000₂
• Hexadecimal: 0x201943AD00
• Base-36: 1RBZYO00

Squares and roots of 137862819072

• 137862819072 squared (137862819072²) is 19006156882479006941184
• 137862819072 cubed (137862819072³) is 2620242367543250900770681937461248
• The square root of 137862819072 is 371298.8271890985
• The cube root of 137862819072 is 5165.9363587687

Scales and comparisons

• 137,862,819,072 seconds is equal to 4,383 years, 31 weeks, 5 days, 11 hours, 31 minutes, 12 seconds.
• To count from 1 to 137,862,819,072 would take you about eight thousand, seven hundred sixty-seven 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 137862819072 cubic inches would be around 430.5 feet tall.

Recreational maths with 137862819072

• 137862819072 backwards is 270918268731
• 137862819072 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137862819072's digits is 54
• More coming soon!