138229676516736

Names of 138229676516736

• Cardinal: 138229676516736 can be written as One hundred thirty-eight trillion, two hundred twenty-nine billion, six hundred seventy-six million, five hundred sixteen thousand, seven hundred thirty-six.

Scientific notation

• Scientific notation: 1.38229676516736 × 10¹⁴

Factors of 138229676516736

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 16201

Divisors of 138229676516736

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 81 84 96 98 108 112 126 128 144 147 162 168 189 192 196 216 224 252 288 294 324 336 343 378 384 392 432 441 448 504 567 576 588 648 672 686 756 784 864 882 896 1008 1029 1134 1152 1176 1296 1323 1344 1372 1512 1568 1728 1764 2016 2058 2268 2352 2401 2592 2646 2688 2744 3024 3087 3136 3456 3528 3969 4032 4116 4536 4704 4802 5184 5292 5488 6048 6174 6272 7056 7203 7938 8064 8232 9072 9261 9408 9604 10368 10584 10976 12096 12348 14112 14406 15876 16189 16464 16807 18144 18522 18816 19208 21168 21609 21952 24192 24696 27783 28224 28812 31752 32378 32928 33614 36288 37044 38416 42336 43218 43904 48567 49392 50421 55566 56448 57624 63504 64756 64827 65856 67228 72576 74088 76832 84672 86436 97134 98784 100842 111132 113323 115248 117649 127008 129512 129654 131712 134456 145701 148176 151263 153664 169344 172872 194268 194481 197568 201684 222264 226646 230496 235298 254016 259024 259308 268912 291402 296352 302526 307328 339969 345744 352947 388536 388962 395136 403368 437103 444528 453292 453789 460992 470596 508032 518048 518616 537824 582804 592704 605052 679938 691488 705894 777072 777924 793261 806736 823543 874206 889056 906584 907578 921984 941192 1019907 1036096 1037232 1058841 1075648 1165608 1185408 1210104 1311309 1359876 1361367 1382976 1411788 1554144 1555848 1586522 1613472 1647086 1748412 1778112 1813168 1815156 1882384 2039814 2072192 2074464 2117682 2151296 2331216 2379783 2420208 2470629 2622618 2719752 2722734 2765952 2823576 3059721 3108288 3111696 3173044 3176523 3226944 3294172 3496824 3556224 3626336 3630312 3764768 4079628 4148928 4235364 4662432 4759566 4840416 4941258 5245236 5439504 5445468 5552827 5647152 6119442 6216576 6223392 6346088 6353046 6453888 6588344 6993648 7139349 7252672 7260624 7411887 7529536 8159256 8297856 8470728 9179163 9324864 9519132 9529569 9680832 9882516 10490472 10879008 10890936 11105654 11294304 12238884 12446784 12692176 12706092 13176688 13987296 14278698 14505344 14521248 14823774 15059072 16318512 16658481 16941456 18358326 18649728 19038264 19059138 19361664 19765032 20980944 21418047 21758016 21781872 22211308 22235661 22588608 24477768 24893568 25384352 25412184 26353376 27974592 28557396 29042496 29647548 32637024 33316962 33882912 36716652 38076528 38118276 38869789 39530064 41961888 42836094 43516032 43563744 44422616 44471322 45177216 48955536 49975443 50768704 50824368 52706752 55949184 57114792 58084992 59295096 64254141 65274048 66633924 66706983 67765824 73433304 76153056 76236552 77739578 79060128 83923776 85672188 87127488 88845232 88942644 97911072 99950886 101537408 101648736 105413504 114229584 116609367 118590192 128508282 130548096 133267848 133413966 135531648 146866608 149926329 152306112 152473104 155479156 158120256 167847552 171344376 174254976 177690464 177885288 195822144 199901772 203297472 228459168 233218734 237180384 257016564 266535696 266827932 272088523 293733216 299852658 304612224 304946208 310958312 316240512 342688752 349828101 355380928 355770576 391644288 399803544 406594944 449778987 456918336 466437468 474360768 514033128 533071392 533655864 544177046 587466432 599705316 609892416 621916624 685377504 699656202 710761856 711541152 799607088 816265569 899557974 913836672 932874936 948721536 1028066256 1049484303 1066142784 1067311728 1088354092 1174932864 1199410632 1219784832 1243833248 1370755008 1399312404 1423082304 1599214176 1632531138 1799115948 1865749872 1904619661 2056132512 2098968606 2132285568 2134623456 2176708184 2398821264 2448796707 2487666496 2741510016 2798624808 2846164608 3148452909 3198428352 3265062276 3598231896 3731499744 3809239322 4112265024 4197937212 4269246912 4353416368 4797642528 4897593414 4975332992 5597249616 5713858983 6296905818 6396856704 6530124552 7196463792 7346390121 7462999488 7618478644 8224530048 8395874424 8538493824 8706832736 9595285056 9795186828 11194499232 11427717966 12593811636 13060249104 13332337627 14392927584 14692780242 14925998976 15236957288 16791748848 17141576949 17413665472 19190570112 19590373656 22039170363 22388998464 22855435932 25187623272 26120498208 26664675254 28785855168 29385560484 30473914576 33583497696 34283153898 34827330944 39180747312 39997012881 44078340726 44777996928 45710871864 50375246544 51424730847 52240996416 53329350508 57571710336 58771120968 60947829152 67166995392 68566307796 78361494624 79994025762 88156681452 91421743728 100750493088 102849461694 104481992832 106658701016 117542241936 119991038643 121895658304 134333990784 137132615592 154274192541 156722989248 159988051524 176313362904 182843487456 201500986176 205698923388 213317402032 235084483872 239982077286 243791316608 274265231184 308548385082 313445978496 319976103048 352626725808 359973115929 365686974912 403001972352 411397846776 426634804064 470168967744 479964154572 548530462368 617096770164 639952206096 705253451616 719946231858 731373949824 822795693552 853269608128 940337935488 959928309144 1079919347787 1097060924736 1234193540328 1279904412192 1410506903232 1439892463716 1645591387104 1706539216256 1919856618288 2159838695574 2194121849472 2468387080656 2559808824384 2821013806464 2879784927432 3291182774208 3839713236576 4319677391148 4936774161312 5119617648768 5759569854864 6582365548416 7679426473152 8639354782296 9873548322624 11519139709728 15358852946304 17278709564592 19747096645248 23038279419456 34557419129184 46076558838912 69114838258368 138229676516736
• Sum of all divisors σ(n): 479960385960000
• Sum of proper divisors (its aliquot sum) s(n): 341730709443264
• 138229676516736 is an abundant number, because the sum of its proper divisors (341730709443264) is greater than itself. Its abundance is 203501032926528

Bases of 138229676516736

• Binary: 11111011011100000011010110001000010010110000000₂
• Hexadecimal: 0x7DB81AC42580
• Base-36: 1CZXU4EW00

Squares and roots of 138229676516736

• 138229676516736 squared (138229676516736²) is 19107443469921475982088093696
• 138229676516736 cubed (138229676516736³) is 2641215729909065279319162808135995680096256
• The square root of 138229676516736 is 11757111.7421217019
• The cube root of 138229676516736 is 51705.1454181649

Scales and comparisons

• 138,229,676,516,736 seconds is equal to 4,395,276 years, 7 weeks, 2 days, 5 hours, 45 minutes, 36 seconds.
• To count from 1 to 138,229,676,516,736 would take you about ten million, nine hundred eighty-eight thousand, one hundred ninety 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 138229676516736 cubic inches would be around 4308.8 feet tall.

Recreational maths with 138229676516736

• 138229676516736 backwards is 637615676922831
• 138229676516736 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138229676516736's digits is 72
• More coming soon!