138355153920

Names of 138355153920

• Cardinal: 138355153920 can be written as One hundred thirty-eight billion, three hundred fifty-five million, one hundred fifty-three thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 1.3835515392 × 10¹¹

Factors of 138355153920

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 2398

Divisors of 138355153920

• Number of divisors d(n): 440
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 149 160 162 180 192 216 240 256 270 288 298 320 324 360 384 405 432 447 480 512 540 576 596 640 648 720 745 768 810 864 894 960 1024 1080 1152 1192 1280 1296 1341 1440 1490 1536 1620 1728 1788 1920 2160 2235 2239 2304 2384 2560 2592 2682 2880 2980 3072 3240 3456 3576 3840 4023 4320 4470 4478 4608 4768 5120 5184 5364 5760 5960 6480 6705 6717 6912 7152 7680 8046 8640 8940 8956 9216 9536 10368 10728 11195 11520 11920 12069 12960 13410 13434 13824 14304 15360 16092 17280 17880 17912 19072 20115 20151 20736 21456 22390 23040 23840 24138 25920 26820 26868 27648 28608 32184 33585 34560 35760 35824 38144 40230 40302 41472 42912 44780 46080 47680 48276 51840 53640 53736 57216 60345 60453 64368 67170 69120 71520 71648 76288 80460 80604 82944 85824 89560 95360 96552 100755 103680 107280 107472 114432 120690 120906 128736 134340 138240 143040 143296 152576 160920 161208 171648 179120 181359 190720 193104 201510 207360 214560 214944 228864 241380 241812 257472 268680 286080 286592 302265 321840 322416 333611 343296 358240 362718 381440 386208 403020 414720 429120 429888 457728 482760 483624 514944 537360 572160 573184 604530 643680 644832 667222 686592 716480 725436 762880 772416 806040 858240 859776 906795 965520 967248 1000833 1029888 1074720 1144320 1146368 1209060 1287360 1289664 1334444 1373184 1432960 1450872 1544832 1612080 1668055 1716480 1719552 1813590 1931040 1934496 2001666 2059776 2149440 2288640 2292736 2418120 2574720 2579328 2668888 2865920 2901744 3002499 3089664 3224160 3336110 3432960 3439104 3627180 3862080 3868992 4003332 4119552 4298880 4836240 5004165 5149440 5158656 5337776 5731840 5803488 6004998 6179328 6448320 6672220 6865920 6878208 7254360 7724160 7737984 8006664 8597760 9007497 9672480 10008330 10298880 10317312 10675552 11463680 11606976 12009996 12358656 12896640 13344440 14508720 15012495 15448320 15475968 16013328 17195520 18014994 19344960 20016660 20597760 20634624 21351104 23213952 24019992 25793280 26688880 27022491 29017440 30024990 30896640 30951936 32026656 34391040 36029988 38689920 40033320 42702208 45037485 46427904 48039984 51586560 53377760 54044982 58034880 60049980 61793280 61903872 64053312 72059976 77379840 80066640 85404416 90074970 92855808 96079968 103173120 106755520 108089964 116069760 120099960 128106624 135112455 144119952 154759680 160133280 170808832 180149940 185711616 192159936 213511040 216179928 232139520 240199920 256213248 270224910 288239904 309519360 320266560 341617664 360299880 384319872 427022080 432359856 464279040 480399840 512426496 540449820 576479808 640533120 720599760 768639744 854044160 864719712 928558080 960799680 1024852992 1080899640 1152959616 1281066240 1441199520 1537279488 1708088320 1729439424 1921599360 2161799280 2305919232 2562132480 2882399040 3074558976 3458878848 3843198720 4323598560 4611838464 5124264960 5764798080 6917757696 7686397440 8647197120 9223676928 11529596160 13835515392 15372794880 17294394240 23059192320 27671030784 34588788480 46118384640 69177576960 138355153920
• Sum of all divisors σ(n): 499336992000
• Sum of proper divisors (its aliquot sum) s(n): 360981838080
• 138355153920 is an abundant number, because the sum of its proper divisors (360981838080) is greater than itself. Its abundance is 222626684160

Bases of 138355153920

• Binary: 10000000110110100111000001110000000000₂
• Hexadecimal: 0x20369C1C00
• Base-36: 1RK53400

Squares and roots of 138355153920

• 138355153920 squared (138355153920²) is 19142148616226891366400
• 138355153920 cubed (138355153920³) is 2648414918157586564641391116288000
• The square root of 138355153920 is 371961.2263664051
• The cube root of 138355153920 is 5172.0785728881

Scales and comparisons

• 138,355,153,920 seconds is equal to 4,399 years, 13 weeks, 5 days, 19 hours, 12 minutes.
• To count from 1 to 138,355,153,920 would take you about eight thousand, seven hundred ninety-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 138355153920 cubic inches would be around 431 feet tall.

Recreational maths with 138355153920

• 138355153920 backwards is 029351553831
• 138355153920 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138355153920's digits is 45
• More coming soon!