138314125667970

Names of 138314125667970

• Cardinal: 138314125667970 can be written as One hundred thirty-eight trillion, three hundred fourteen billion, one hundred twenty-five million, six hundred sixty-seven thousand, nine hundred seventy.

Scientific notation

• Scientific notation: 1.3831412566797 × 10¹⁴

Factors of 138314125667970

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 107863

Divisors of 138314125667970

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 5 6 7 9 10 14 15 18 19 21 27 30 35 38 42 45 49 54 57 63 70 81 90 95 98 105 114 126 133 135 147 162 171 189 190 210 243 245 266 270 285 294 315 342 343 378 399 405 441 486 490 513 567 570 630 665 686 729 735 798 810 855 882 931 945 1026 1029 1134 1197 1215 1323 1330 1458 1470 1539 1701 1710 1715 1862 1890 1995 2058 2187 2205 2394 2430 2565 2646 2793 2835 3078 3087 3402 3430 3591 3645 3969 3990 4374 4410 4617 4655 5103 5130 5145 5586 5670 5985 6174 6517 6561 6615 7182 7290 7695 7938 8379 8505 9234 9261 9310 10206 10290 10773 10935 11907 11970 13034 13122 13230 13851 13965 15309 15390 15435 16758 17010 17955 18522 19551 19683 19845 21546 21870 23085 23814 25137 25515 27702 27783 27930 30618 30870 32319 32585 32805 35721 35910 39102 39366 39690 41553 41895 45927 46170 46305 50274 51030 53865 55566 58653 59535 64638 65170 65610 69255 71442 75411 76545 83106 83349 83790 91854 92610 96957 97755 98415 107163 107730 107827 117306 119070 124659 125685 137781 138510 138915 150822 153090 161595 166698 175959 178605 193914 195510 196830 207765 214326 215654 226233 229635 249318 250047 251370 275562 277830 290871 293265 321489 323190 323481 351918 357210 373977 377055 415530 416745 452466 459270 484785 500094 527877 535815 539135 581742 586530 623295 642978 646962 678699 688905 747954 750141 754110 754789 833490 872613 879795 964467 969570 970443 1055754 1071630 1078270 1131165 1246590 1250235 1357398 1377810 1454355 1500282 1509578 1583631 1607445 1617405 1745226 1759590 1869885 1928934 1940886 2036097 2048713 2250423 2262330 2264367 2500470 2617839 2639385 2908710 2911329 3167262 3214890 3234810 3393495 3739770 3750705 3773945 4072194 4097426 4363065 4500846 4528734 4750893 4822335 4852215 5235678 5278770 5283523 5822658 6108291 6146139 6751269 6786990 6793101 7501410 7547890 7918155 8726130 8733987 9501786 9644670 9704430 10180485 10243565 10567046 11252115 11321835 12216582 12292278 13089195 13502538 13586202 14252679 14340991 14556645 15836310 15850569 17467974 18324873 18438417 20360970 20379303 20487130 22504230 22643670 23754465 26178390 26201961 26417615 28505358 28681982 29113290 30541455 30730695 31701138 33756345 33965505 36649746 36876834 36984661 40758606 42758037 43022973 43669935 47508930 47551707 52403922 52835230 55315251 61082910 61137909 61461390 67512690 67931010 71263395 71704955 73969322 78605883 79252845 85516074 86045946 87339870 91624365 92192085 95103414 100386937 101896515 110630502 110953983 122275818 128274111 129068919 131009805 142526790 142655121 143409910 157211766 158505690 165945753 183248730 183413727 184384170 184923305 200773874 203793030 213790185 215114865 221907966 235817649 237758535 256548222 258137838 262019610 276576255 285310242 301160811 305689545 331891506 332861949 366827454 369846610 387206757 393029415 427580370 427965363 430229730 471635298 475517070 497837259 501934685 550241181 553152510 554769915 602321622 611379090 641370555 645344595 665723898 702708559 707452947 713275605 774413514 786058830 829728765 855930726 903482433 917068635 995674518 998585847 1003869370 1100482362 1109539830 1161620271 1179088245 1282741110 1283896089 1290689190 1405417118 1414905894 1426551210 1493511777 1505804055 1650723543 1659457530 1664309745 1806964866 1834137270 1936033785 1997171694 2108125677 2122358841 2139826815 2323240542 2358176490 2489186295 2567792178 2710447299 2751205905 2987023554 2995757541 3011608110 3301447086 3328619490 3484860813 3513542795 3537264735 3851688267 3872067570 4216251354 4244717682 4279653630 4480535331 4517412165 4952170629 4978372590 4992929235 5420894598 5502411810 5808101355 5991515082 6324377031 6419480445 6969721626 7027085590 7074529470 7467558885 7703376534 8131341897 8253617715 8961070662 8987272623 9034824330 9904341258 9985858470 10454582439 10540628385 10611794205 11555064801 11616202710 12648754062 12838960890 13441605993 13552236495 14856511887 14935117770 14978787705 16262683794 16507235430 17424304065 17974545246 18973131093 19258441335 20909164878 21081256770 21223588410 22402676655 23110129602 24394025691 24760853145 26883211986 26961817869 27104472990 29713023774 29957575410 31363747317 31621885155 34665194403 34848608130 37946262186 38516882670 40324817979 40656709485 44805353310 44936363115 48788051382 49521706290 52272912195 53923635738 56919393279 57775324005 62727494634 63243770310 67208029965 69330388806 73182077073 74282559435 80649635958 80885453607 81313418970 89872726230 94091241951 94865655465 103995583209 104545824390 113838786558 115550648010 121970128455 134416059930 134809089345 146364154146 148565118870 156818736585 161770907214 170758179837 173325972015 188182483902 189731310930 201624089895 207991166418 219546231219 242656360821 243940256910 269618178690 282273725853 284596966395 313637473170 341516359674 346651944030 365910385365 403248179790 404427268035 439092462438 470456209755 485312721642 512274539511 519977916045 564547451706 569193932790 658638693657 727969082463 731820770730 808854536070 853790899185 940912419510 1024549079022 1039955832090 1097731156095 1213281804105 1317277387314 1411368629265 1455938164926 1536823618533 1707581798370 1975916080971 2195462312190 2426563608210 2561372697555 2822737258530 3073647237066 3293193468285 3639845412315 3951832161942 4610470855599 5122745395110 6586386936570 7279690824630 7684118092665 9220941711198 9879580404855 13831412566797 15368236185330 19759160809710 23052354277995 27662825133594 46104708555990 69157062833985 138314125667970
• Sum of all divisors σ(n): 458425997568000
• Sum of proper divisors (its aliquot sum) s(n): 320111871900030
• 138314125667970 is an abundant number, because the sum of its proper divisors (320111871900030) is greater than itself. Its abundance is 181797746232060

Bases of 138314125667970

• Binary: 11111011100101111000100010100111110111010000010₂
• Hexadecimal: 0x7DCBC453EE82
• Base-36: 1D10MR9A4I

Squares and roots of 138314125667970

• 138314125667970 squared (138314125667970²) is 19130797359294997598683920900
• 138314125667970 cubed (138314125667970³) is 2646059510081996921827347216845611143573000
• The square root of 138314125667970 is 11760702.6009490607
• The cube root of 138314125667970 is 51715.6727445005

Scales and comparisons

• 138,314,125,667,970 seconds is equal to 4,397,961 years, 18 weeks, 5 days, 23 hours, 19 minutes, 30 seconds.
• To count from 1 to 138,314,125,667,970 would take you about ten million, nine hundred ninety-four thousand, nine hundred three 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 138314125667970 cubic inches would be around 4309.6 feet tall.

Recreational maths with 138314125667970

• 138314125667970 backwards is 079766521413831
• 138314125667970 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138314125667970's digits is 63
• More coming soon!