138477536820

Names of 138477536820

• Cardinal: 138477536820 can be written as One hundred thirty-eight billion, four hundred seventy-seven million, five hundred thirty-six thousand, eight hundred twenty.

Scientific notation

• Scientific notation: 1.3847753682 × 10¹¹

Factors of 138477536820

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1276

Divisors of 138477536820

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 27 28 30 34 35 36 42 45 49 51 54 60 63 68 70 81 84 85 89 90 98 102 105 108 119 126 135 140 147 153 162 170 178 180 189 196 204 210 238 245 252 255 267 270 294 306 315 324 340 356 357 378 405 420 441 445 459 476 490 510 534 540 567 588 595 612 623 630 714 735 756 765 801 810 833 882 890 918 945 980 1020 1068 1071 1134 1153 1190 1246 1260 1323 1335 1377 1428 1470 1513 1530 1602 1620 1666 1764 1780 1785 1836 1869 1890 2142 2205 2268 2295 2306 2380 2403 2492 2499 2646 2670 2754 2835 2940 3026 3060 3115 3204 3213 3332 3459 3570 3738 3780 3969 4005 4165 4284 4361 4410 4539 4590 4612 4806 4998 5292 5340 5355 5508 5607 5670 5765 6052 6230 6426 6615 6885 6918 7140 7209 7476 7497 7565 7938 8010 8071 8330 8722 8820 9078 9180 9345 9612 9639 9996 10377 10591 10710 11214 11340 11530 12015 12460 12495 12852 13083 13230 13617 13770 13836 14418 14994 15130 15876 16020 16065 16142 16660 16821 17295 17444 18156 18690 19278 19601 19845 20754 21182 21420 21805 22428 22491 22695 23060 24030 24213 24990 26166 26460 27234 27540 28035 28836 29988 30260 31131 31773 32130 32284 33642 34590 36045 37380 37485 38556 39202 39249 39690 40355 40851 41508 42364 43610 44982 45390 48060 48195 48426 49980 50463 51885 52332 52955 54468 56070 56497 58803 62262 63546 64260 65415 67284 67473 68085 69180 72090 72639 74137 74970 78404 78498 79380 80710 81702 84105 87220 89964 90780 93393 95319 96390 96852 98005 100926 102617 103770 105910 112140 112455 112994 117606 117747 121065 122553 124524 127092 130830 134946 136170 137207 144180 145278 148274 149940 155655 156996 158865 161420 163404 168210 169491 176409 186786 190638 192780 196010 196245 201852 204255 205234 207540 211820 217917 222411 224910 225988 235212 235494 242130 245106 252315 261660 269892 272340 274414 282485 285957 290556 294015 296548 307851 311310 317730 336420 337365 338982 352818 353241 363195 370685 373572 381276 392020 392490 408510 410468 411621 435834 444822 449820 466965 470988 476595 484260 490212 504630 508473 513085 529227 548828 564970 571914 588030 588735 612765 615702 622620 635460 653751 667233 674730 677964 686035 705636 706482 718319 726390 741370 784980 817020 823242 847455 857871 871668 882045 889644 923553 933930 953190 960449 1009260 1016946 1026170 1058454 1089585 1112055 1129940 1143828 1176060 1177470 1225530 1231404 1234863 1307502 1334466 1349460 1372070 1412964 1429785 1436638 1452780 1482740 1525419 1539255 1587681 1646484 1694910 1715742 1744489 1764090 1766205 1847106 1867860 1906380 1920898 2001699 2033892 2052340 2058105 2116908 2154957 2179170 2224110 2354940 2451060 2469726 2542365 2615004 2646135 2668932 2744140 2770659 2859570 2873276 2881347 3050838 3078510 3175362 3268755 3336165 3389820 3431484 3488978 3528180 3532410 3591595 3694212 3704589 3841796 4003398 4116210 4289355 4309914 4358340 4448220 4576257 4617765 4802245 4939452 5028233 5084730 5233467 5292270 5541318 5719140 5762694 6005097 6101676 6157020 6174315 6350724 6464871 6537510 6672330 6977956 7064820 7183190 7409178 7627095 7938405 8006796 8232420 8311977 8578710 8619828 8644041 8722445 9152514 9235530 9604490 10008495 10056466 10169460 10466934 10584540 10774785 11082636 11113767 11525388 12010194 12211423 12348630 12929742 13075020 13344660 13853295 14366380 14406735 14818356 15084699 15254190 15700401 15876810 16623954 17157420 17288082 17444890 18305028 18471060 18522945 19208980 19394613 20016990 20112932 20933868 21549570 22227534 22881285 24020388 24422846 24697260 25141165 25859484 25932123 26167335 27706590 28813470 30025485 30169398 30508380 31400802 31753620 32324355 33247908 34576164 34889780 36634269 37045890 38789226 40033980 41559885 43099140 43220205 44455068 45254097 45762570 47101203 48845692 50282330 51864246 52334670 55413180 55568835 57626940 58183839 60050970 60338796 61057115 62801604 64648710 73268538 74091780 75423495 77578452 77796369 78502005 83119770 85479961 86440410 90508194 91525140 94202406 96973065 100564660 103728492 104669340 109902807 111137670 116367678 120101940 122114230 129297420 129660615 135762291 141303609 146537076 150846990 155592738 157004010 166239540 170959922 172880820 181016388 183171345 188404812 193946130 219805614 222275340 226270485 232735356 235506015 244228460 256439883 259321230 271524582 282607218 290919195 301693980 311185476 314008020 329708421 341919844 366342690 387892260 388981845 407286873 427399805 439611228 452540970 471012030 512879766 518642460 543049164 549514035 565214436 581838390 659416842 678811455 706518045 732685380 769319649 777963690 814573746 854799610 905081940 942024060 989125263 1025759532 1099028070 1163676780 1282199415 1318833684 1357622910 1413036090 1538639298 1555927380 1629147492 1648542105 1709599220 1978250526 2036434365 2198056140 2307958947 2564398830 2715245820 2826072180 3077278596 3297084210 3846598245 3956501052 4072868730 4615917894 4945626315 5128797660 6594168420 6923876841 7693196490 8145737460 9231835788 9891252630 11539794735 13847753682 15386392980 19782505260 23079589470 27695507364 34619384205 46159178940 69238768410 138477536820
• Sum of all divisors σ(n): 541539749520
• Sum of proper divisors (its aliquot sum) s(n): 403062212700
• 138477536820 is an abundant number, because the sum of its proper divisors (403062212700) is greater than itself. Its abundance is 264584675880

Bases of 138477536820

• Binary: 10000000111101111001111000011000110100₂
• Hexadecimal: 0x203DE78634
• Base-36: 1RM5Y790

Squares and roots of 138477536820

• 138477536820 squared (138477536820²) is 19176028203734455712400
• 138477536820 cubed (138477536820³) is 2655449151643996552416530330568000
• The square root of 138477536820 is 372125.7002949407
• The cube root of 138477536820 is 5173.6031214017

Scales and comparisons

• 138,477,536,820 seconds is equal to 4,403 years, 8 weeks, 1 day, 6 hours, 27 minutes.
• To count from 1 to 138,477,536,820 would take you about eight thousand, eight hundred six 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 138477536820 cubic inches would be around 431.1 feet tall.

Recreational maths with 138477536820

• 138477536820 backwards is 028635774831
• 138477536820 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138477536820's digits is 54
• More coming soon!