138609836400

Names of 138609836400

• Cardinal: 138609836400 can be written as One hundred thirty-eight billion, six hundred nine million, eight hundred thirty-six thousand, four hundred.

Scientific notation

• Scientific notation: 1.386098364 × 10¹¹

Factors of 138609836400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 1958

Divisors of 138609836400

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 61 70 75 80 84 100 105 112 120 122 140 150 157 168 175 183 200 210 240 244 280 300 305 314 336 350 366 400 420 427 471 488 525 560 600 610 628 700 732 785 840 854 915 942 976 1050 1099 1200 1220 1256 1281 1400 1464 1525 1570 1680 1708 1723 1830 1884 2100 2135 2198 2355 2440 2512 2562 2800 2928 3050 3140 3297 3416 3446 3660 3768 3925 4200 4270 4396 4575 4710 4880 5124 5169 5495 6100 6280 6405 6594 6832 6892 7320 7536 7850 8400 8540 8615 8792 9150 9420 9577 10248 10338 10675 10990 11775 12061 12200 12560 12810 13188 13784 14640 15700 16485 17080 17230 17584 18300 18840 19154 20496 20676 21350 21980 23550 24122 24400 25620 25845 26376 27475 27568 28731 31400 32025 32970 34160 34460 36183 36600 37680 38308 41352 42700 43075 43960 47100 47885 48244 51240 51690 52752 54950 57462 60305 62800 64050 65940 67039 68920 72366 73200 76616 82425 82704 85400 86150 87920 94200 95770 96488 102480 103380 105103 109900 114924 120610 128100 129225 131880 134078 137840 143655 144732 153232 164850 170800 172300 180915 188400 191540 192976 201117 206760 210206 219800 229848 239425 241220 256200 258450 263760 268156 270511 287310 289464 301525 315309 329700 335195 344600 361830 383080 402234 413520 420412 439600 459696 478850 482440 512400 516900 525515 536312 541022 574620 578928 603050 630618 659400 670390 689200 718275 723660 735721 766160 804468 811533 840824 904575 957700 964880 1005585 1033800 1051030 1072624 1082044 1149240 1206100 1261236 1318800 1340780 1352555 1436550 1447320 1471442 1576545 1608936 1623066 1675975 1681648 1809150 1893577 1915400 2011170 2067600 2102060 2164088 2207163 2298480 2412200 2522472 2627575 2681560 2705110 2873100 2894640 2942884 3153090 3217872 3246132 3351950 3618300 3678605 3787154 3830800 4022340 4057665 4204120 4328176 4414326 4824400 5027925 5044944 5255150 5363120 5410220 5680731 5746200 5885768 6306180 6492264 6703900 6762775 7236600 7357210 7574308 7882725 8044680 8115330 8408240 8828652 9467885 10055850 10510300 10820440 11035815 11361462 11492400 11771536 12612360 12984528 13407800 13525550 14473200 14714420 15148616 15765450 16089360 16230660 16501171 17657304 18393025 18935770 20111700 20288325 21020600 21640880 22071630 22722924 25224720 26815600 27051100 28403655 29428840 30297232 31530900 32461320 33002342 35314608 36786050 37871540 40223400 40576650 42041200 44143260 45445848 47339425 49503513 54102200 55179075 56807310 58857680 63061800 64922640 66004684 73572100 75743080 80446800 81153300 82505855 88286520 90891696 94678850 99007026 108204400 110358150 113614620 115508197 126123600 132009368 142018275 147144200 151486160 162306600 165011710 176573040 189357700 198014052 220716300 227229240 231016394 247517565 264018736 284036550 294288400 324613200 330023420 346524591 378715400 396028104 412529275 441432600 454458480 462032788 495035130 568073100 577540985 660046840 693049182 757430800 792056208 825058550 882865200 924065576 990070260 1136146200 1155081970 1237587825 1320093680 1386098364 1650117100 1732622955 1848131152 1980140520 2272292400 2310163940 2475175650 2772196728 2887704925 3300234200 3465245910 3960281040 4620327880 4950351300 5544393456 5775409850 6600468400 6930491820 8663114775 9240655760 9900702600 11550819700 13860983640 17326229550 19801405200 23101639400 27721967280 34652459100 46203278800 69304918200 138609836400
• Sum of all divisors σ(n): 519349124608
• Sum of proper divisors (its aliquot sum) s(n): 380739288208
• 138609836400 is an abundant number, because the sum of its proper divisors (380739288208) is greater than itself. Its abundance is 242129451808

Bases of 138609836400

• Binary: 10000001000101110010100100000101110000₂
• Hexadecimal: 0x2045CA4170
• Base-36: 1ROCPU9C

Squares and roots of 138609836400

• 138609836400 squared (138609836400²) is 19212686746834764960000
• 138609836400 cubed (138609836400³) is 2663067366783214988938052544000000
• The square root of 138609836400 is 372303.4198070173
• The cube root of 138609836400 is 5175.2501939763

Scales and comparisons

• 138,609,836,400 seconds is equal to 4,407 years, 18 weeks, 6 days, 12 hours, 20 minutes.
• To count from 1 to 138,609,836,400 would take you about eight thousand, eight hundred fourteen 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 138609836400 cubic inches would be around 431.3 feet tall.

Recreational maths with 138609836400

• 138609836400 backwards is 004638906831
• 138609836400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138609836400's digits is 48
• More coming soon!