138824336029104

Names of 138824336029104

• Cardinal: 138824336029104 can be written as One hundred thirty-eight trillion, eight hundred twenty-four billion, three hundred thirty-six million, twenty-nine thousand, one hundred four.

Scientific notation

• Scientific notation: 1.38824336029104 × 10¹⁴

Factors of 138824336029104

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1244

Divisors of 138824336029104

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 41 44 48 54 66 72 82 88 99 108 121 123 132 144 164 176 198 216 242 246 264 297 328 363 369 396 432 451 484 492 528 594 656 726 738 792 902 968 984 1089 1107 1187 1188 1331 1353 1452 1476 1584 1681 1804 1936 1968 2178 2214 2374 2376 2662 2706 2904 2952 3267 3362 3561 3608 3993 4059 4356 4428 4748 4752 4961 5043 5324 5412 5808 5904 6534 6724 7122 7216 7986 8118 8712 8856 9496 9922 10086 10648 10683 10824 11979 12177 13057 13068 13448 14244 14641 14883 15129 15972 16236 17424 17712 18491 18992 19844 20172 21296 21366 21648 23958 24354 26114 26136 26896 28488 29282 29766 30258 31944 32049 32472 35937 36982 39171 39688 40344 42732 43923 44649 45387 47916 48667 48708 52228 52272 54571 55473 56976 58564 59532 60516 63888 64098 64944 71874 73964 78342 79376 80688 85464 87846 89298 90774 95832 97334 97416 104456 109142 110946 117128 117513 119064 121032 128196 131769 133947 143627 143748 146001 147928 156684 161051 163713 166419 170928 175692 178596 181548 191664 194668 194832 203401 208912 218284 221892 234256 235026 238128 242064 256392 263538 267894 287254 287496 292002 295856 313368 322102 327426 332838 351384 352539 357192 363096 389336 395307 406802 430881 436568 438003 443784 470052 483153 491139 499257 512784 527076 535337 535788 574508 574992 584004 600281 610203 626736 644204 654852 665676 702768 705078 714384 726192 778672 790614 813604 861762 873136 876006 887568 940104 966306 982278 998514 1054152 1070674 1071576 1149016 1168008 1200562 1220406 1288408 1292643 1309704 1314009 1331352 1410156 1449459 1473417 1579897 1581228 1606011 1627208 1723524 1752012 1800843 1830609 1880208 1932612 1964556 1995347 1997028 2108304 2141348 2143152 2237411 2298032 2336016 2401124 2440812 2576816 2585286 2619408 2628018 2662704 2820312 2898918 2946834 3159794 3162456 3212022 3254416 3447048 3504024 3601686 3661218 3865224 3877929 3929112 3990694 3994056 4282696 4348377 4474822 4739691 4802248 4818033 4881624 5170572 5256036 5402529 5491827 5640624 5797836 5888707 5893668 5986041 6319588 6324912 6424044 6603091 6712233 6894096 7008048 7203372 7322436 7730448 7755858 7858224 7981388 7988112 8565392 8696754 8949644 9479382 9604496 9636066 9763248 10341144 10512072 10805058 10983654 11595672 11777414 11787336 11972082 12639176 12848088 13206182 13424466 14219073 14406744 14454099 14644872 15511716 15962776 16207587 17378867 17393508 17666121 17899288 17958123 18958764 19272132 19809273 20136699 20682288 21024144 21610116 21948817 21967308 23191344 23554828 23574672 23944164 24611521 25278352 25696176 26412364 26848932 28438146 28813488 28908198 29289744 31023432 31925552 32415174 34757734 34787016 35332242 35798576 35916246 37917528 38544264 39618546 40273398 42657219 43220232 43897634 43934616 47109656 47888328 49223042 52136601 52824728 52998363 53697864 53874369 56876292 57816396 59427819 60410097 62046864 64775777 64830348 65846451 69515468 69574032 70664484 71832492 73834563 75835056 77088528 79237092 80546796 85314438 86440464 87795268 87869232 94219312 95776656 98446084 104273202 105649456 105996726 107395728 107748738 113752584 115632792 118855638 120820194 129551554 129660696 131692902 139030936 141328968 143664984 147669126 156409803 158474184 158995089 161093592 170628876 175590536 178283457 191167537 194327331 196892168 197539353 208546404 211993452 215497476 221503689 227505168 231265584 237711276 241436987 241640388 259103108 259321392 263385804 270726731 278061872 282657936 287329968 295338252 312819606 316948368 317990178 322187184 341257752 351181072 356566914 382335074 388654662 393784336 395078706 417092808 423986904 430994952 443007378 469229409 475422552 482873974 483280776 518206216 526771608 541453462 573502611 582981993 590676504 592618059 625639212 635980356 664511067 682515504 712533547 713133828 724310961 764670148 777309324 790157412 812180193 834185616 847973808 861989904 886014756 938458818 950845104 965747948 966561552 1036412432 1053543216 1082906924 1147005222 1165963986 1181353008 1185236118 1251278424 1271960712 1329022134 1425067094 1426267656 1448621922 1529340296 1554618648 1580314824 1624360386 1720507833 1748945979 1772029512 1876917636 1931495896 2137600641 2165813848 2172932883 2294010444 2331927972 2370472236 2436540579 2502556848 2543921424 2655806857 2658044268 2850134188 2852535312 2897243844 3058680592 3109237296 3160629648 3248720772 3441015666 3497891958 3544059024 3753835272 3862991792 4275201282 4331627696 4345865766 4588020888 4663855944 4740944472 4873081158 5161523499 5311613714 5316088536 5700268376 5794487688 6412801923 6497441544 6518798649 6882031332 6995783916 7309621737 7507670544 7837869017 7967420571 8550402564 8691731532 9176041776 9327711888 9481888944 9746162316 10323046998 10623227428 10632177072 11400536752 11588975376 12825603846 12994883088 13037597298 13764062664 13991567832 14619243474 15675738034 15934841142 17100805128 17383463064 19238405769 19492324632 20646093996 21246454856 23513607051 23902261713 25651207692 26075194596 27528125328 27983135664 29213875427 29238486948 31351476068 31869682284 34201610256 34766926128 38476811538 38984649264 41292187992 42492909712 47027214102 47804523426 51302415384 52150389192 58427750854 58476973896 62702952136 63739364568 70540821153 71706785139 76953623076 82584375984 87641626281 94054428204 95609046852 102604830768 104300778384 116855501708 116953947792 125405904272 127478729136 141081642306 143413570278 153907246152 175283252562 188108856408 191218093704 211622463459 233711003416 262924878843 282163284612 286827140556 307814492304 321352629697 350566505124 376217712816 382436187408 423244926918 467422006832 525849757686 564326569224 573654281112 642705259394 701133010248 788774636529 846489853836 964057889091 1051699515372 1128653138448 1147308562224 1285410518788 1402266020496 1577549273058 1692979707672 1928115778182 2103399030744 2570821037576 2892173667273 3155098546116 3385959415344 3856231556364 4206798061488 5141642075152 5784347334546 6310197092232 7712463112728 8676521001819 11568694669092 12620394184464 15424926225456 17353042003638 23137389338184 34706084007276 46274778676368 69412168014552 138824336029104
• Sum of all divisors σ(n): 449654836498560
• Sum of proper divisors (its aliquot sum) s(n): 310830500469456
• 138824336029104 is an abundant number, because the sum of its proper divisors (310830500469456) is greater than itself. Its abundance is 172006164440352

Bases of 138824336029104

• Binary: 11111100100001010001111001111000011010110110000₂
• Hexadecimal: 0x7E428F3C35B0
• Base-36: 1D7J0PC0C0

Squares and roots of 138824336029104

• 138824336029104 squared (138824336029104²) is 19272196273921582950735042816
• 138824336029104 cubed (138824336029104³) is 2675449851549735869560926781060962862116864
• The square root of 138824336029104 is 11782373.9555789009
• The cube root of 138824336029104 is 51779.1839594583

Scales and comparisons

• 138,824,336,029,104 seconds is equal to 4,414,184 years, 24 weeks, 4 days, 11 hours, 38 minutes, 24 seconds.
• To count from 1 to 138,824,336,029,104 would take you about eleven million, thirty-five thousand, four hundred sixty-one 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 138824336029104 cubic inches would be around 4314.9 feet tall.

Recreational maths with 138824336029104

• 138824336029104 backwards is 401920633428831
• 138824336029104 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138824336029104's digits is 54
• More coming soon!