2137133241984

Names of 2137133241984

• Cardinal: 2137133241984 can be written as Two trillion, one hundred thirty-seven billion, one hundred thirty-three million, two hundred forty-one thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 2.137133241984 × 10¹²

Factors of 2137133241984

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 5272

Divisors of 2137133241984

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 23 24 26 32 39 41 46 48 52 64 69 78 82 89 92 96 104 123 128 138 156 164 178 184 192 208 246 267 276 299 312 328 356 368 384 416 492 533 534 552 598 624 656 712 736 832 897 943 984 1066 1068 1104 1157 1196 1248 1312 1424 1472 1599 1664 1794 1886 1968 2047 2132 2136 2208 2314 2392 2496 2624 2829 2848 2944 3198 3471 3588 3649 3772 3936 4094 4264 4272 4416 4628 4784 4992 5101 5248 5658 5696 6141 6396 6942 7176 7298 7544 7872 8188 8528 8544 8832 9256 9568 10202 10947 11316 11392 12259 12282 12792 13884 14352 14596 15088 15303 15744 16376 17056 17088 18512 19136 20404 21894 22632 24518 24564 25584 26611 27768 28704 29192 30176 30606 32752 34112 34176 36777 37024 38272 40808 43788 45264 47437 49036 49128 51168 53222 55536 57408 58384 60352 61212 65504 66313 68224 73554 74048 79833 81616 83927 87576 90528 94874 98072 98256 102336 106444 111072 114816 116768 117323 120704 122424 131008 132626 142311 147108 148096 159666 163232 167854 175152 181056 189748 196144 196512 198939 204672 209141 212888 222144 233536 234646 244848 251781 262016 265252 284622 294216 319332 326464 335708 350304 351969 362112 379496 392288 393024 397878 418282 425776 444288 453989 467072 469292 489696 503562 530504 569244 588432 627423 638664 652928 671416 700608 703938 758992 784576 786048 795756 836564 851552 907978 938584 979392 1007124 1061008 1091051 1138488 1176864 1254846 1277328 1342832 1361967 1401216 1407876 1517984 1525199 1569152 1591512 1673128 1703104 1815956 1877168 1958784 2014248 2122016 2182102 2276976 2353728 2509692 2554656 2685664 2718833 2723934 2815752 3035968 3050398 3183024 3273153 3346256 3406208 3631912 3754336 4028496 4244032 4364204 4553952 4575597 4707456 4810243 5019384 5109312 5371328 5437666 5447868 5631504 5901857 6071936 6100796 6366048 6546306 6692512 7263824 7508672 8056992 8156499 8488064 8728408 9107904 9151194 9620486 10038768 10218624 10441747 10742656 10875332 10895736 11263008 11803714 12201592 12732096 13092612 13385024 14430729 14527648 15017344 16113984 16312998 17456816 17705571 18215808 18302388 18613549 19240972 20077536 20883494 21750664 21791472 22526016 23607428 24403184 25464192 26185224 26770048 28861458 29055296 31325241 32227968 32625996 34913632 35411142 36604776 37227098 38481944 40155072 41766988 43501328 43582944 45052032 47214856 48806368 52370448 55840647 57722916 58110592 62533159 62650482 65251992 69827264 70822284 73209552 74454196 76963888 80310144 83533976 87002656 87165888 94429712 97612736 104740896 111681294 115445832 125066318 125300964 130503984 135742711 139654528 141644568 146419104 148908392 153927776 167067952 174005312 174331776 187599477 188859424 195225472 209481792 223362588 230891664 241976137 250132636 250601928 261007968 271485422 283289136 292838208 297816784 307855552 334135904 348010624 375198954 377718848 407228133 418963584 428111627 446725176 461783328 483952274 500265272 501203856 522015936 542970844 566578272 585676416 595633568 615711104 668271808 725928411 750397908 755437696 814456266 856223254 893450352 923566656 967904548 1000530544 1002407712 1044031872 1085941688 1133156544 1191267136 1284334881 1336543616 1451856822 1500795816 1628912532 1712446508 1786900704 1847133312 1935809096 2001061088 2004815424 2171883376 2266313088 2382534272 2568669762 2903713644 3001591632 3257825064 3424893016 3573801408 3871618192 4002122176 4009630848 4343766752 5137339524 5565451151 5807427288 6003183264 6515650128 6849786032 7147602816 7743236384 8004244352 8687533504 10274679048 11130902302 11614854576 12006366528 13031300256 13699572064 15486472768 16696353453 17375067008 20549358096 22261804604 23229709152 24012733056 26062600512 27399144128 30972945536 33392706906 41098716192 44523609208 46459418304 52125201024 54798288256 66785413812 82197432384 89047218416 92918836608 133570827624 164394864768 178094436832 267141655248 356188873664 534283310496 712377747328 1068566620992 2137133241984
• Sum of all divisors σ(n): 6609547123200
• Sum of proper divisors (its aliquot sum) s(n): 4472413881216
• 2137133241984 is an abundant number, because the sum of its proper divisors (4472413881216) is greater than itself. Its abundance is 2335280639232

Bases of 2137133241984

• Binary: 11111000110010111000100010101011010000000₂
• Hexadecimal: 0x1F197115680
• Base-36: R9S9YB9C

Squares and roots of 2137133241984

• 2137133241984 squared (2137133241984²) is 4567338493993042300256256
• 2137133241984 cubed (2137133241984³) is 9761010922905670600685901139257851904
• The square root of 2137133241984 is 1461893.7177455823
• The cube root of 2137133241984 is 12880.8305350271

Scales and comparisons

• 2,137,133,241,984 seconds is equal to 67,954 years, 11 weeks, 5 days, 10 hours, 46 minutes, 24 seconds.
• To count from 1 to 2,137,133,241,984 would take you about one hundred sixty-nine thousand, eight hundred eighty-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 2137133241984 cubic inches would be around 1073.4 feet tall.

Recreational maths with 2137133241984

• 2137133241984 backwards is 4891423317312
• 2137133241984 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 2137133241984's digits is 48
• More coming soon!