138634509312

Names of 138634509312

• Cardinal: 138634509312 can be written as One hundred thirty-eight billion, six hundred thirty-four million, five hundred nine thousand, three hundred twelve.

Scientific notation

• Scientific notation: 1.38634509312 × 10¹¹

Factors of 138634509312

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 2556

Divisors of 138634509312

• Number of divisors d(n): 528
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 32 34 36 39 48 51 52 54 64 68 72 78 81 96 102 104 108 117 128 136 144 153 156 162 192 204 208 216 221 234 243 256 272 288 306 312 324 351 384 408 416 432 442 459 468 486 512 544 576 612 624 648 663 702 768 816 832 864 884 918 936 972 1024 1053 1088 1152 1224 1248 1296 1326 1377 1404 1536 1632 1664 1728 1768 1836 1872 1944 1989 2106 2176 2304 2448 2496 2521 2592 2652 2754 2808 3072 3159 3264 3328 3456 3536 3672 3744 3888 3978 4131 4212 4352 4608 4896 4992 5042 5184 5304 5508 5616 5967 6318 6528 6656 6912 7072 7344 7488 7563 7776 7956 8262 8424 8704 9216 9792 9984 10084 10368 10608 11016 11232 11934 12636 13056 13312 13824 14144 14688 14976 15126 15552 15912 16524 16848 17408 17901 19584 19968 20168 20736 21216 22032 22464 22689 23868 25272 26112 27648 28288 29376 29952 30252 31104 31824 32773 33048 33696 35802 39168 39936 40336 41472 42432 42857 44064 44928 45378 47736 50544 52224 53703 56576 58752 59904 60504 62208 63648 65546 66096 67392 68067 71604 78336 80672 82944 84864 85714 88128 89856 90756 95472 98319 101088 107406 113152 117504 119808 121008 124416 127296 128571 131092 132192 134784 136134 143208 156672 161344 169728 171428 176256 179712 181512 190944 196638 202176 204201 214812 226304 235008 242016 248832 254592 257142 262184 264384 269568 272268 286416 294957 322688 339456 342856 352512 359424 363024 381888 385713 393276 404352 408402 429624 470016 484032 509184 514284 524368 528768 539136 544536 557141 572832 589914 612603 645376 678912 685712 705024 726048 763776 771426 786552 808704 816804 859248 884871 968064 1018368 1028568 1048736 1057536 1078272 1089072 1114282 1145664 1157139 1179828 1225206 1290752 1371424 1410048 1452096 1527552 1542852 1573104 1617408 1633608 1671423 1718496 1769742 1936128 2036736 2057136 2097472 2115072 2178144 2228564 2291328 2314278 2359656 2450412 2581504 2654613 2742848 2904192 3055104 3085704 3146208 3234816 3267216 3342846 3436992 3471417 3539484 3872256 4114272 4194944 4230144 4356288 4457128 4582656 4628556 4719312 4900824 5014269 5309226 5485696 5808384 6110208 6171408 6292416 6534432 6685692 6873984 6942834 7078968 7744512 7963839 8228544 8389888 8712576 8914256 9165312 9257112 9438624 9801648 10028538 10414251 10618452 10971392 11616768 12342816 12584832 13068864 13371384 13747968 13885668 14157936 15042807 15927678 16457088 16779776 17425152 17828512 18330624 18514224 18877248 19603296 20057076 20828502 21236904 21942784 23233536 24685632 25169664 26137728 26742768 27495936 27771336 28315872 30085614 31855356 32914176 33559552 34850304 35657024 37028448 37754496 39206592 40114152 41657004 42473808 43885568 45128421 49371264 50339328 52275456 53485536 54991872 55542672 56631744 60171228 63710712 65828352 69700608 71314048 74056896 75508992 78413184 80228304 83314008 84947616 90256842 98742528 100678656 104550912 106971072 111085344 113263488 120342456 127421424 131656704 135385263 142628096 148113792 151017984 156826368 160456608 166628016 169895232 180513684 197485056 209101824 213942144 222170688 226526976 240684912 254842848 270770526 285256192 296227584 302035968 313652736 320913216 333256032 339790464 361027368 394970112 427884288 444341376 453053952 481369824 509685696 541541052 570512384 592455168 627305472 641826432 666512064 679580928 722054736 855768576 888682752 906107904 962739648 1019371392 1083082104 1184910336 1283652864 1333024128 1359161856 1444109472 1711537152 1777365504 1925479296 2038742784 2166164208 2567305728 2666048256 2718323712 2888218944 3554731008 3850958592 4077485568 4332328416 5134611456 5332096512 5776437888 7701917184 8154971136 8664656832 10664193024 11552875776 15403834368 17329313664 23105751552 34658627328 46211503104 69317254656 138634509312
• Sum of all divisors σ(n): 473548918752
• Sum of proper divisors (its aliquot sum) s(n): 334914409440
• 138634509312 is an abundant number, because the sum of its proper divisors (334914409440) is greater than itself. Its abundance is 196279900128

Bases of 138634509312

• Binary: 10000001000111010000101011110000000000₂
• Hexadecimal: 0x204742BC00
• Base-36: 1ROREO00

Squares and roots of 138634509312

• 138634509312 squared (138634509312²) is 19219527172179014713344
• 138634509312 cubed (138634509312³) is 2664489718723688642608073778659328
• The square root of 138634509312 is 372336.5538219421
• The cube root of 138634509312 is 5175.5572450975

Scales and comparisons

• 138,634,509,312 seconds is equal to 4,408 years, 7 weeks, 5 days, 1 hour, 55 minutes, 12 seconds.
• To count from 1 to 138,634,509,312 would take you about eight thousand, eight hundred sixteen 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 138634509312 cubic inches would be around 431.3 feet tall.

Recreational maths with 138634509312

• 138634509312 backwards is 213905436831
• The number of decimal digits it has is: 12
• The sum of 138634509312's digits is 45
• More coming soon!