100138407138

Names of 100138407138

• Cardinal: 100138407138 can be written as One hundred billion, one hundred thirty-eight million, four hundred seven thousand, one hundred thirty-eight.

Scientific notation

• Scientific notation: 1.00138407138 × 10¹¹

Factors of 100138407138

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 215

Divisors of 100138407138

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 6 7 9 11 14 18 21 22 27 29 31 33 42 43 49 54 58 62 63 66 77 86 87 89 93 98 99 126 129 147 154 174 178 186 189 198 203 217 231 258 261 267 279 294 297 301 319 341 378 387 406 434 441 462 473 522 534 539 558 594 602 609 623 638 651 682 693 774 783 801 837 882 899 903 946 957 979 1023 1078 1161 1218 1246 1247 1302 1323 1333 1386 1419 1421 1519 1566 1602 1617 1674 1798 1806 1827 1869 1914 1953 1958 2046 2079 2107 2233 2322 2387 2403 2494 2581 2646 2666 2697 2709 2759 2838 2842 2871 2937 3038 3069 3234 3311 3654 3738 3741 3827 3906 3999 4158 4214 4257 4263 4361 4466 4557 4774 4806 4851 5162 5394 5418 5481 5518 5607 5742 5859 5874 6138 6293 6321 6622 6699 6853 7161 7482 7654 7743 7998 8091 8127 8277 8514 8526 8613 8722 8729 8811 9114 9207 9331 9702 9889 9933 10962 11214 11223 11481 11718 11997 12586 12642 12771 12789 13083 13398 13671 13706 13717 14322 14553 14663 15486 15631 16182 16254 16554 16709 16821 17226 17458 17622 18067 18414 18662 18879 18963 19313 19778 19866 20097 20559 21483 22446 22962 23177 23229 23994 24273 24831 25542 25578 26166 26187 26433 26789 27342 27434 27993 28391 29106 29326 29667 29799 30349 31262 33418 33642 33669 34443 35991 36134 37758 37926 38367 38626 38657 39249 40194 41013 41118 41151 42097 42966 43989 44051 46354 46458 46893 47971 48546 49662 50127 52374 52866 53578 54201 55986 56637 56782 56889 57939 59334 59598 60291 60698 61103 61677 64449 65317 67338 68886 69223 69531 69687 71982 74493 76734 77314 78498 78561 80011 80367 82026 82302 83979 84194 85173 87978 88102 89001 89397 91047 93786 95942 96019 100254 102641 103329 108402 110983 113274 113778 115878 115971 117747 118637 120582 122206 123354 123453 126291 126469 128898 130634 131967 132153 135191 138446 139062 139374 140679 143913 148986 150381 157122 160022 160734 162603 167958 169911 170346 173817 178002 178794 182094 183309 185031 187523 192038 195951 198737 205282 206658 207669 208593 212443 221966 231942 235494 235683 237274 240033 241101 246906 251937 252582 252938 255519 263934 264306 267003 270382 270599 273141 281358 287826 288057 294679 300762 307923 325206 332949 339822 347634 347913 355911 366618 370062 370359 375046 378873 379407 391902 395901 396459 397474 405573 415338 417186 422037 424886 425227 431739 451143 471366 480066 482202 484561 487809 503874 511038 521451 534006 541198 546282 549927 560077 562569 576114 587853 589358 596211 615846 623007 625779 637329 665898 672133 695826 711822 718487 720099 723303 740718 757746 758814 766557 776881 791802 792918 811146 811797 819423 830459 844074 850454 863478 864171 880121 884037 902286 923769 969122 975618 998847 1042902 1043739 1067733 1099854 1120154 1125138 1136619 1138221 1175706 1189377 1192422 1216719 1220813 1246014 1251558 1274658 1275681 1295217 1305007 1344266 1391159 1436974 1440198 1446606 1453683 1487101 1533114 1553762 1623594 1638846 1649781 1660918 1680231 1687707 1728342 1760242 1763559 1768074 1788633 1847538 1869021 1894193 1911987 1997694 2016399 2062753 2087478 2135466 2155461 2160297 2273238 2276442 2330643 2378754 2433438 2435391 2441626 2491377 2551362 2590434 2592513 2610014 2640363 2652111 2771307 2782318 2907366 2974202 2976589 2996541 3203199 3299562 3360462 3375414 3414663 3440473 3527118 3577266 3650157 3662439 3738042 3788386 3823974 3827043 3915021 3920539 4032798 4125506 4173477 4310922 4320594 4361049 4461303 4661286 4870782 4982754 5040693 5063121 5185026 5280726 5304222 5365899 5438167 5542614 5682579 5735961 5813213 5953178 5993082 6049197 6160847 6188259 6406398 6466383 6829326 6880946 6991929 7300314 7306173 7324878 7474131 7654086 7830042 7841078 7921089 7956333 8346954 8545691 8722098 8922606 8929767 9135049 10081386 10126242 10321419 10731798 10876334 10987317 11365158 11471922 11481129 11626426 11745063 11761617 12098394 12321694 12376518 12520431 12932766 13083147 13383909 13983858 14612346 14948262 15122079 15842178 15912666 16314501 17047737 17091382 17439639 17859534 18147591 18270098 18482541 18564777 19399149 20642838 20836123 20975787 21974634 22422393 22962258 23490126 23523234 23763267 24083311 25040862 25637073 26166294 26767818 26789301 27405147 30244158 30964257 32629002 32961951 34095474 34879278 35235189 35284851 36295182 36965082 37129554 37561293 37845203 38798298 40151727 41672246 41951574 43125929 44844786 47526534 48166622 48943503 51143211 51274146 52318917 53578602 54810294 55447623 55694331 59819837 61928514 62508369 63945343 65923902 70470378 70569702 72249933 75122586 75690406 76911219 80303454 80367903 82215441 86251858 92892771 97887006 102286422 104637834 105854553 110895246 111388662 113535609 119639674 125016738 127890686 129377787 144499866 146830509 153822438 156956751 160735806 164430882 166342869 168583177 179459511 185785542 187525107 191836029 211709106 216749799 227071218 230733657 246646323 258755574 264916421 293661018 313913502 332685738 337166354 340606827 358919022 375050214 383672058 388133361 433499598 461467314 493292646 505749531 529832842 538378533 562575321 575508087 650249397 681213654 776266722 794749263 1011499062 1021820481 1076757066 1125150642 1151016174 1164400083 1300498794 1517248593 1589498526 1615135599 1726524261 1854414947 2043640962 2328800166 2384247789 3034497186 3230271198 3453048522 3708829894 4551745779 4768495578 5563244841 7152743367 9103491558 11126489682 14305486734 16689734523 33379469046 50069203569 100138407138
• Sum of all divisors σ(n): 312035328000
• Sum of proper divisors (its aliquot sum) s(n): 211896920862
• 100138407138 is an abundant number, because the sum of its proper divisors (211896920862) is greater than itself. Its abundance is 111758513724

Bases of 100138407138

• Binary: 1011101010000101101101101010011100010₂
• Hexadecimal: 0x1750B6D4E2
• Base-36: 1A03TLGI

Squares and roots of 100138407138

• 100138407138 squared (100138407138²) is 10027700584135849351044
• 100138407138 cubed (100138407138³) is 1004157963752156106216277157352072
• The square root of 100138407138 is 316446.5312465915
• The cube root of 100138407138 is 4643.7292764953

Scales and comparisons

• 100,138,407,138 seconds is equal to 3,184 years, 4 weeks, 5 days, 8 hours, 12 minutes, 18 seconds.
• To count from 1 to 100,138,407,138 would take you about six thousand, three hundred sixty-eight 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 100138407138 cubic inches would be around 387 feet tall.

Recreational maths with 100138407138

• 100138407138 backwards is 831704831001
• The number of decimal digits it has is: 12
• The sum of 100138407138's digits is 36
• More coming soon!