138270935040

Names of 138270935040

• Cardinal: 138270935040 can be written as One hundred thirty-eight billion, two hundred seventy million, nine hundred thirty-five thousand and forty.

Scientific notation

• Scientific notation: 1.3827093504 × 10¹¹

Factors of 138270935040

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 288

Divisors of 138270935040

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 61 64 70 80 83 84 96 105 112 120 122 127 128 140 160 166 168 183 192 210 224 240 244 249 254 256 280 305 320 332 336 366 381 384 415 420 427 448 480 488 498 508 512 560 581 610 635 640 664 672 732 762 768 830 840 854 889 896 915 960 976 996 1016 1024 1120 1162 1220 1245 1270 1280 1281 1328 1344 1464 1524 1536 1660 1680 1708 1743 1778 1792 1830 1905 1920 1952 1992 2032 2048 2135 2240 2324 2440 2490 2540 2560 2562 2656 2667 2688 2905 2928 3048 3072 3320 3360 3416 3486 3556 3584 3660 3810 3840 3904 3984 4064 4270 4445 4480 4648 4880 4980 5063 5080 5120 5124 5312 5334 5376 5810 5856 6096 6144 6405 6640 6720 6832 6972 7112 7168 7320 7620 7680 7747 7808 7968 8128 8540 8715 8890 8960 9296 9760 9960 10126 10160 10240 10248 10541 10624 10668 10752 11620 11712 12192 12810 13280 13335 13440 13664 13944 14224 14336 14640 15189 15240 15360 15494 15616 15936 16256 17080 17430 17780 17920 18592 19520 19920 20252 20320 20496 21082 21248 21336 21504 23240 23241 23424 24384 25315 25620 26560 26670 26880 27328 27888 28448 29280 30378 30480 30720 30988 31232 31623 31872 32512 34160 34860 35441 35560 35840 37184 38735 39040 39840 40504 40640 40992 42164 42496 42672 43008 46480 46482 46848 48768 50630 51240 52705 53120 53340 53760 54229 54656 55776 56896 58560 60756 60960 61976 62464 63246 63744 65024 68320 69720 70882 71120 71680 73787 74368 75945 77470 78080 79680 81008 81280 81984 84328 84992 85344 92960 92964 93696 97536 101260 102480 105410 106240 106323 106680 107520 108458 109312 111552 113792 116205 117120 121512 121920 123952 124928 126492 127488 130048 136640 139440 141764 142240 147574 148736 151890 154940 156160 158115 159360 162016 162560 162687 163968 168656 169984 170688 177205 185920 185928 187392 195072 202520 204960 210820 212480 212646 213360 215040 216916 218624 221361 223104 227584 232410 234240 243024 243840 247904 252984 254976 260096 271145 273280 278880 283528 284480 295148 297472 303780 309880 312320 316230 318720 324032 325120 325374 327936 337312 341376 354410 368935 371840 371856 374784 390144 405040 409920 421640 424960 425292 426720 433832 437248 442722 446208 455168 464820 468480 486048 487680 495808 505968 509952 531615 542290 546560 557760 567056 568960 590296 594944 607560 619760 624640 632460 637440 643001 648064 650240 650748 655872 674624 682752 708820 737870 743680 743712 780288 810080 813435 819840 843280 849920 850584 853440 867664 874496 885444 892416 910336 929640 936960 972096 975360 991616 1011936 1063230 1084580 1093120 1106805 1115520 1134112 1137920 1180592 1189888 1215120 1239520 1264920 1274880 1286002 1296128 1300480 1301496 1311744 1349248 1365504 1417640 1475740 1487360 1487424 1620160 1626870 1639680 1686560 1701168 1706880 1735328 1770888 1784832 1820672 1859280 1873920 1929003 1944192 1950720 1983232 2023872 2126460 2169160 2186240 2213610 2231040 2268224 2275840 2361184 2430240 2479040 2529840 2549760 2572004 2592256 2602992 2623488 2698496 2731008 2835280 2951480 2974720 2974848 3215005 3240320 3253740 3279360 3373120 3402336 3413760 3470656 3541776 3569664 3718560 3858006 3888384 3901440 3966464 4047744 4252920 4338320 4372480 4427220 4462080 4501007 4536448 4551680 4722368 4860480 4958080 5059680 5144008 5184512 5205984 5396992 5462016 5670560 5902960 5949440 5949696 6430010 6480640 6507480 6558720 6746240 6804672 6827520 6941312 7083552 7437120 7716012 7776768 7932928 8095488 8505840 8676640 8854440 8924160 9002014 9072896 9103360 9444736 9645015 9720960 9916160 10119360 10288016 10369024 10411968 10793984 11341120 11805920 11899392 12860020 12961280 13014960 13117440 13492480 13503021 13609344 13655040 13882624 14167104 14874240 15432024 15553536 15865856 16190976 17011680 17353280 17708880 17848320 18004028 18145792 18889472 19290030 19441920 19832320 20238720 20576032 20823936 21587968 22505035 22682240 23611840 23798784 25720040 25922560 26029920 26984960 27006042 27218688 27310080 27765248 28334208 29748480 30864048 31107072 32381952 34023360 34706560 35417760 36008056 36291584 37778944 38580060 38883840 39664640 40477440 41152064 41647872 45010070 45364480 47223680 47597568 51440080 51845120 52059840 53969920 54012084 54437376 55530496 56668416 59496960 61728096 64763904 67515105 68046720 69413120 70835520 72016112 72583168 75557888 77160120 77767680 79329280 80954880 82304128 83295744 90020140 90728960 94447360 102880160 104119680 107939840 108024168 108874752 111060992 113336832 118993920 123456192 135030210 136093440 138826240 141671040 144032224 151115776 154320240 155535360 161909760 164608256 166591488 180040280 181457920 188894720 205760320 208239360 216048336 217749504 226673664 237987840 246912384 270060420 272186880 277652480 283342080 288064448 308640480 323819520 329216512 333182976 360080560 362915840 377789440 411520640 416478720 432096672 453347328 493824768 540120840 544373760 555304960 566684160 576128896 617280960 658433024 720161120 755578880 823041280 832957440 864193344 987649536 1080241680 1088747520 1133368320 1152257792 1234561920 1316866048 1440322240 1646082560 1665914880 1728386688 1975299072 2160483360 2266736640 2304515584 2469123840 2880644480 3292165120 3456773376 3950598144 4320966720 4609031168 4938247680 5761288960 6584330240 6913546752 8641933440 9218062336 9876495360 11522577920 13827093504 17283866880 19752990720 23045155840 27654187008 34567733760 46090311680 69135467520 138270935040
• Sum of all divisors σ(n): 524126453760
• Sum of proper divisors (its aliquot sum) s(n): 385855518720
• 138270935040 is an abundant number, because the sum of its proper divisors (385855518720) is greater than itself. Its abundance is 247584583680

Bases of 138270935040

• Binary: 10000000110001100101110000100000000000₂
• Hexadecimal: 0x2031970800
• Base-36: 1RIQY0AO

Squares and roots of 138270935040

• 138270935040 squared (138270935040²) is 19118851476835899801600
• 138270935040 cubed (138270935040³) is 2643581470592984766206982488064000
• The square root of 138270935040 is 371847.9999139433
• The cube root of 138270935040 is 5171.0289189959

Scales and comparisons

• 138,270,935,040 seconds is equal to 4,396 years, 30 weeks, 4 days, 1 hour, 4 minutes.
• To count from 1 to 138,270,935,040 would take you about eight thousand, seven hundred ninety-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 138270935040 cubic inches would be around 430.9 feet tall.

Recreational maths with 138270935040

• 138270935040 backwards is 040539072831
• 138270935040 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138270935040's digits is 42
• More coming soon!