138684404040

Names of 138684404040

• Cardinal: 138684404040 can be written as One hundred thirty-eight billion, six hundred eighty-four million, four hundred four thousand and forty.

Scientific notation

• Scientific notation: 1.3868440404 × 10¹¹

Factors of 138684404040

• Number of distinct prime factors ω(n): 9
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 244

Divisors of 138684404040

• Number of divisors d(n): 1536
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 13 14 15 17 19 20 21 24 26 28 30 34 35 38 39 40 41 42 49 51 52 56 57 60 65 68 70 76 78 82 84 85 91 95 98 102 104 105 114 119 120 123 130 133 136 137 140 147 152 156 164 168 170 182 190 195 196 204 205 210 221 228 238 245 246 247 255 260 266 273 274 280 285 287 294 312 323 328 340 357 364 380 390 392 399 408 410 411 420 442 455 456 476 490 492 494 510 520 532 533 546 548 570 574 588 595 615 637 646 663 665 680 685 697 714 728 735 741 760 779 780 798 820 822 833 840 861 884 910 931 952 959 969 980 984 988 1020 1064 1066 1092 1096 1105 1140 1148 1176 1190 1230 1235 1274 1292 1326 1330 1365 1370 1394 1428 1435 1470 1482 1547 1558 1560 1596 1599 1615 1640 1644 1666 1722 1729 1768 1781 1785 1820 1862 1911 1918 1938 1960 1976 1995 2009 2040 2055 2091 2132 2184 2210 2261 2280 2296 2329 2337 2380 2460 2470 2499 2548 2584 2603 2652 2660 2665 2730 2740 2788 2793 2856 2870 2877 2940 2964 3094 3116 3185 3192 3198 3230 3288 3315 3332 3444 3458 3485 3562 3570 3640 3705 3724 3731 3822 3836 3876 3895 3990 4018 4110 4165 4182 4199 4264 4305 4420 4522 4641 4655 4658 4674 4760 4795 4845 4879 4920 4940 4998 5096 5187 5206 5304 5320 5330 5343 5453 5460 5480 5576 5586 5617 5740 5754 5880 5928 6027 6188 6232 6370 6396 6460 6630 6664 6713 6783 6888 6916 6970 6987 7124 7140 7410 7448 7462 7644 7672 7735 7752 7790 7809 7980 7995 8036 8220 8330 8364 8398 8610 8645 8840 8905 9044 9061 9282 9310 9316 9348 9555 9590 9690 9758 9880 9996 10045 10127 10374 10412 10455 10660 10686 10829 10906 10920 11172 11193 11234 11305 11480 11508 11645 11685 12054 12103 12376 12467 12495 12597 12740 12792 12920 13015 13243 13260 13426 13566 13832 13940 13965 13974 14248 14280 14385 14637 14820 14924 15288 15470 15580 15618 15827 15960 15990 16072 16303 16359 16440 16660 16728 16796 16851 17220 17290 17810 18088 18122 18221 18564 18620 18632 18655 18696 19110 19180 19380 19516 19992 20090 20139 20254 20748 20824 20910 20995 21320 21372 21658 21812 22344 22386 22468 22610 23016 23205 23290 23370 24108 24206 24395 24934 24990 25194 25480 25935 26030 26117 26486 26520 26715 26852 27132 27183 27265 27880 27930 27948 28085 28770 29274 29393 29640 29848 30135 30277 30381 30940 31160 31236 31654 31980 32487 32606 32718 33320 33565 33592 33702 33839 33915 34153 34440 34580 34935 35620 36244 36309 36442 37128 37240 37310 37401 38171 38220 38360 38760 39032 39045 39319 39729 40180 40278 40508 41496 41820 41990 42744 43316 43624 44251 44772 44936 45220 45305 46410 46580 46740 47481 48216 48412 48790 48909 49868 49980 50388 50635 51870 52060 52234 52972 53430 53704 54145 54264 54366 54530 54663 55860 55896 55965 56170 57540 58548 58786 60270 60515 60554 60762 61880 62335 62472 62985 63308 63427 63960 64974 65212 65436 66215 67130 67404 67678 67830 68306 69160 69870 70889 71240 72488 72618 72884 73021 73185 74620 74802 76342 76440 78090 78351 78638 79135 79458 80360 80556 81016 81515 81795 83640 83980 84255 86632 87269 88179 88502 89544 90440 90610 90831 91105 92701 92820 93160 93480 94962 95489 96824 97580 97818 99736 99960 100695 100776 101270 101517 102459 103740 104120 104468 105944 106723 106860 108290 108732 109060 109326 111720 111930 112340 114121 114513 115080 117096 117572 117957 120540 121030 121108 121524 124670 125970 126616 126854 127547 129948 130424 130585 130872 132430 132753 134260 134808 135356 135660 135915 136612 139740 141778 145236 145768 146042 146370 146965 149240 149604 151385 151905 152684 156180 156702 157276 158270 158916 161112 162435 163030 163590 167960 168510 169195 170765 172159 174538 176358 177004 181220 181545 181662 182210 185402 185640 187005 189924 190281 190855 190978 195160 195636 196595 198645 201390 202540 203034 204918 205751 207480 208936 211939 212667 213446 213720 216580 217464 218120 218652 219063 221255 223860 224680 228242 229026 235144 235914 236873 237405 241080 242060 242216 243048 244545 249340 251940 253708 255094 259896 261170 261807 264860 265506 268520 270712 271320 271830 273224 273315 275233 278103 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6605592 6632444 6659835 6684230 6847260 6886360 6903156 6936995 7106190 7156058 7230678 7257164 7417865 7434168 7443345 7448142 7470610 7611240 7652820 7667205 7786884 8021076 8053682 8230040 8256990 8290555 8324394 8435791 8477560 8506680 8628945 8673196 8689499 8762520 8879780 8901438 8964732 9071455 9292710 9357922 9474920 9640904 9711793 9733605 9924460 9930856 9948666 10026345 10222940 10329540 10458854 10472280 10655736 10734087 10841495 10885746 11009320 11099192 11124120 11205915 11458680 11505260 11868584 11909352 12051130 12080523 12267528 12345060 12390280 12413570 12700037 12716340 12806760 12978140 13009794 13264888 13319670 13368460 13694520 13806312 13873990 14036883 14212380 14312116 14461356 14514328 14835730 14886690 14896284 14941220 15305640 15334410 15573768 15688281 16042152 16107364 16513980 16581110 16648788 16871582 17257890 17346392 17378998 17759560 17802876 17890145 17929464 18076695 18142910 18585420 18620355 18715844 19423586 19467210 19848920 19897332 20052690 20134205 20445880 20659080 20810985 20917708 21468174 21682990 21771492 22253595 22411830 23010520 23394805 23585783 24102260 24161046 24690120 24827140 24871665 25307373 25400074 25432680 25956280 26019588 26068497 26147135 26639340 26736920 27214365 27747980 28073766 28187887 28424760 28624232 28922712 29135379 29671460 29773380 29792568 29882440 30668820 31376562 32214728 32524485 33027960 33162220 33297576 33743164 34515780 34757996 35605752 35780290 36153390 36285820 37170840 37240710 37431688 38100111 38847172 38934420 39794664 40105380 40268410 41621970 41835416 42178955 42936348 43365980 43447495 43542984 44507190 44823660 46789610 47171566 48204520 48322092 48558965 49654280 49743330 50614746 50800148 52039176 52136994 52294270 53278680 53670435 54428730 55495960 56147532 56375774 58270758 59342920 59546760 60402615 60826493 61337640 62753124 63500185 65048970 66324440 67486328 67982551 69031560 69515992 70184415 70757349 71560580 72306780 72571640 74481420 76200222 77694344 77868840 78441405 80210760 80536820 83243940 84357910 84563661 85872696 86731960 86894990 88900259 89014380 89647320 93579220 94343132 96644184 97117930 99486660 101229492 101600296 104273988 104588540 107340870 108857460 112295064 112751548 116541516 117928915 120805230 121652986 125506248 126536865 127000370 130097940 130342485 135965102 140368830 140939435 141514698 143121160 144613560 145676895 148962840 152400444 156882810 161073640 165100481 166487880 168715820 169127322 173789980 177800518 178028760 182479479 187158440 188686264 190500555 194235860 198973320 202458984 203947653 208547976 209177080 214681740 217714920 225503096 233083032 235857830 241610460 243305972 253073730 254000740 260195880 260684970 266700777 271930204 280737660 281878870 283029396 291353790 304132465 304800888 313765620 330200962 337431640 338254644 339912755 347579960 353786745 355601036 364958958 381001110 388471720 407895306 422818305 429363480 444501295 471715660 483220920 486611944 495301443 506147460 508001480 521369940 533401554 543860408 561475320 563757740 566058792 582707580 608264930 627531240 660401924 676509288 679825510 707573490 711202072 729917916 762002220 815790612 825502405 845636610 889002590 912397395 943431320 990602886 1012294920 1019738265 1042739880 1066803108 1127515480 1155703367 1165415160 1216529860 1320803848 1333503885 1359651020 1415146980 1459835832 1524004440 1631581224 1651004810 1691273220 1778005180 1824794790 1981205772 2039476530 2133606216 2311406734 2433059720 2476507215 2667007770 2719302040 2830293960 3302009620 3382546440 3467110101 3556010360 3649589580 3962411544 4078953060 4622813468 4953014430 5334015540 5778516835 6604019240 6934220202 7299179160 8157906120 9245626936 9906028860 10668031080 11557033670 13868440404 17335550505 19812057720 23114067340 27736880808 34671101010 46228134680 69342202020 138684404040
• Sum of all divisors σ(n): 599426956800
• Sum of proper divisors (its aliquot sum) s(n): 460742552760
• 138684404040 is an abundant number, because the sum of its proper divisors (460742552760) is greater than itself. Its abundance is 322058148720

Bases of 138684404040

• Binary: 10000001001010001111000001000101001000₂
• Hexadecimal: 0x204A3C1148
• Base-36: 1RPL430O

Squares and roots of 138684404040

• 138684404040 squared (138684404040²) is 19233363923929968321600
• 138684404040 cubed (138684404040³) is 2667367613474663551377175059264000
• The square root of 138684404040 is 372403.5499830795
• The cube root of 138684404040 is 5176.1780670679

Scales and comparisons

• 138,684,404,040 seconds is equal to 4,409 years, 38 weeks, 1 day, 13 hours, 34 minutes.
• To count from 1 to 138,684,404,040 would take you about eight thousand, eight hundred nineteen 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 138684404040 cubic inches would be around 431.3 feet tall.

Recreational maths with 138684404040

• 138684404040 backwards is 040404486831
• 138684404040 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138684404040's digits is 42
• More coming soon!