137200357008

Names of 137200357008

• Cardinal: 137200357008 can be written as One hundred thirty-seven billion, two hundred million, three hundred fifty-seven thousand and eight.

Scientific notation

• Scientific notation: 1.37200357008 × 10¹¹

Factors of 137200357008

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 227

Divisors of 137200357008

• Number of divisors d(n): 900
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 31 33 36 39 44 48 52 54 62 66 72 78 81 88 93 99 104 108 117 121 124 132 143 144 156 162 167 169 176 186 198 208 216 234 242 248 264 279 286 297 312 324 334 338 341 351 363 372 396 403 429 432 468 484 496 501 507 528 558 572 594 624 648 668 676 682 702 726 744 792 806 837 858 891 936 968 1002 1014 1023 1053 1089 1116 1144 1188 1209 1287 1296 1336 1352 1364 1404 1452 1488 1503 1521 1573 1584 1612 1674 1716 1782 1837 1859 1872 1936 2004 2028 2046 2106 2171 2178 2232 2288 2376 2418 2511 2574 2672 2704 2728 2808 2904 3006 3042 3069 3146 3224 3267 3348 3432 3564 3627 3674 3718 3751 3861 4008 4056 4092 4212 4342 4356 4433 4464 4509 4563 4719 4752 4836 5022 5148 5177 5239 5456 5511 5577 5616 5808 6012 6084 6138 6292 6448 6513 6534 6696 6864 7128 7254 7348 7436 7502 7722 8016 8112 8184 8424 8684 8712 8866 9018 9126 9207 9438 9672 9801 10044 10296 10354 10478 10881 11022 11154 11253 11583 12024 12168 12276 12584 13026 13068 13299 13392 13527 13689 14157 14256 14508 14696 14872 15004 15444 15531 15717 16368 16533 16731 16848 17368 17424 17732 18036 18252 18414 18876 19344 19539 19602 20088 20207 20449 20592 20708 20956 21762 22044 22308 22506 23166 23881 24048 24336 24552 25168 26052 26136 26598 27054 27378 27621 28223 28314 29016 29392 29744 30008 30888 31062 31434 32643 33066 33462 33759 34736 35464 36072 36504 36828 37752 39078 39204 39897 40176 40414 40898 41416 41912 42471 43524 44088 44616 45012 46332 46593 47151 47762 48763 49104 49599 50193 52104 52272 53196 54108 54756 55242 56446 56628 56947 57629 58032 58617 60016 60621 61347 61776 62124 62868 65286 66132 66924 67301 67518 70928 71643 72144 73008 73656 75504 78156 78408 79794 80828 81796 82832 83824 84669 84942 87048 88176 89232 90024 92664 93186 94302 95524 97526 99198 100386 101277 104208 106392 108216 109512 110484 112892 113256 113894 115258 117234 119691 121242 122694 124248 125736 127413 130572 132264 133848 134602 135036 139779 141453 143286 146289 147312 148797 150579 156312 156816 159588 161656 163592 169338 169884 170841 172887 174096 175851 180048 181863 184041 185328 186372 188604 191048 195052 198396 200772 201903 202554 212784 214929 216432 219024 220968 225784 226512 227788 230516 234468 239382 242484 245388 248496 251472 254007 254826 261144 262691 264528 267696 269204 270072 279558 282906 286572 292578 297594 301158 303831 310453 312624 319176 323312 327184 338676 339768 341682 345774 351702 359073 363726 368082 372744 377208 382096 390104 396792 401544 403806 405108 419337 424359 429858 438867 441936 451568 455576 461032 468936 478764 484968 490776 508014 509652 512523 518661 522288 525382 538408 540144 545589 552123 559116 565812 573144 585156 595188 602316 605709 607662 620906 626417 633919 638352 644787 677352 679536 683364 691548 703404 718146 727452 736164 740311 745488 754416 762021 780208 788073 793584 803088 807612 810216 838674 848718 859716 874913 877734 911152 922064 931359 937872 957528 969936 981552 1016028 1019304 1025046 1037322 1050764 1076816 1091178 1104246 1118232 1131624 1146288 1170312 1190376 1204632 1211418 1215324 1241812 1252834 1267838 1289574 1316601 1354704 1366728 1383096 1406808 1436292 1454904 1472328 1480622 1524042 1537569 1555983 1576146 1615224 1620432 1636767 1656369 1677348 1697436 1719432 1749826 1755468 1817127 1862718 1879251 1901757 1915056 1934361 2032056 2038608 2050092 2074644 2101528 2182356 2208492 2220933 2236464 2263248 2286063 2340624 2364219 2380752 2409264 2422836 2430648 2483624 2505668 2535676 2579148 2624739 2633202 2733456 2766192 2794077 2813616 2872584 2909808 2944656 2961244 3048084 3075138 3111966 3152292 3230448 3273534 3312738 3354696 3394872 3414983 3438864 3499652 3510936 3634254 3725436 3758502 3803514 3868722 3949803 4064112 4100184 4149288 4203056 4364712 4416984 4441866 4572126 4612707 4667949 4728438 4845672 4861296 4967248 5011336 5071352 5158296 5249478 5266404 5451381 5588154 5637753 5705271 5745168 5922488 6096168 6150276 6223932 6304584 6547068 6625476 6662799 6709392 6789744 6829966 6999304 7021872 7092657 7268508 7450872 7517004 7607028 7737444 7874217 7899606 8143421 8200368 8298576 8382231 8729424 8833968 8883732 9144252 9225414 9335898 9456876 9624043 9691344 10022672 10142704 10244949 10316592 10498956 10532808 10902762 11176308 11275506 11410542 11844976 12192336 12300552 12447864 12609168 13094136 13250952 13325598 13659932 13998608 14185314 14537016 14901744 15034008 15214056 15474888 15748434 15799212 16286842 16764462 16913259 17115813 17767464 18288504 18450828 18671796 18913752 19248086 19988397 20489898 20997912 21065616 21277971 21805524 22352616 22551012 22821084 23622651 24430263 24601104 24895728 25146693 26188272 26501904 26651196 27319864 28370628 28872129 29074032 30068016 30428112 30734847 30949776 31496868 31598424 32573684 33528924 33826518 34231626 35534928 36577008 36901656 37343592 37827504 38496172 39976794 40979796 41995824 42555942 43611048 44705232 45102024 45642168 47245302 48860526 50293386 50739777 51347439 53302392 54639728 56741256 57744258 59965191 61469694 62993736 63196848 65147368 67057848 67653036 68463252 70867953 73290789 73803312 74687184 76992344 79953588 81959592 85111884 86616387 87222096 90204048 91284336 92204541 94490604 97721052 100586772 101479554 102694878 105864473 106604784 113482512 115488516 119930382 122939388 125987472 130294736 134115696 135306072 136926504 141735906 146581578 153984688 159907176 163919184 170223768 173232774 184409082 188981208 195442104 201173544 202959108 205389756 211728946 219872367 230977032 239860764 245878776 259849161 270612144 273853008 276613623 283471812 293163156 317593419 319814352 340447536 346465548 368818164 377962416 390884208 402347088 405918216 410779512 423457892 439744734 461954064 479721528 491757552 519698322 553227246 566943624 586326312 635186838 659617101 692931096 737636328 779547483 811836432 821559024 846915784 879489468 952780257 959443056 1039396644 1106454492 1133887248 1172652624 1270373676 1319234202 1385862192 1475272656 1559094966 1693831568 1758978936 1905560514 2078793288 2212908984 2540747352 2638468404 2858340771 3118189932 3517957872 3811121028 4157586576 4425817968 5081494704 5276936808 5716681542 6236379864 7622242056 8575022313 10553873616 11433363084 12472759728 15244484112 17150044626 22866726168 34300089252 45733452336 68600178504 137200357008
• Sum of all divisors σ(n): 490805086464
• Sum of proper divisors (its aliquot sum) s(n): 353604729456
• 137200357008 is an abundant number, because the sum of its proper divisors (353604729456) is greater than itself. Its abundance is 216404372448

Bases of 137200357008

• Binary: 1111111110001110001110100111010010000₂
• Hexadecimal: 0x1FF1C74E90
• Base-36: 1R11JT00

Squares and roots of 137200357008

• 137200357008 squared (137200357008²) is 18823937963122654712064
• 137200357008 cubed (137200357008³) is 2582651008836872564987894244544512
• The square root of 137200357008 is 370405.6654642313
• The cube root of 137200357008 is 5157.6485716597

Scales and comparisons

• 137,200,357,008 seconds is equal to 4,362 years, 28 weeks, 3 days, 2 hours, 16 minutes, 48 seconds.
• To count from 1 to 137,200,357,008 would take you about eight thousand, seven hundred twenty-five 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 137200357008 cubic inches would be around 429.8 feet tall.

Recreational maths with 137200357008

• 137200357008 backwards is 800753002731
• 137200357008 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137200357008's digits is 36
• More coming soon!