138387236400

Names of 138387236400

• Cardinal: 138387236400 can be written as One hundred thirty-eight billion, three hundred eighty-seven million, two hundred thirty-six thousand, four hundred.

Scientific notation

• Scientific notation: 1.383872364 × 10¹¹

Factors of 138387236400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 48

Divisors of 138387236400

• Number of divisors d(n): 840
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 31 35 36 40 42 45 48 50 54 56 60 62 63 70 72 75 80 81 84 90 93 100 105 108 112 120 124 126 135 140 144 150 155 162 168 175 180 186 189 200 210 216 217 225 240 243 248 252 270 279 280 300 310 315 324 336 350 360 372 378 400 405 420 432 434 450 465 486 496 504 525 540 558 560 567 600 620 630 648 651 675 700 720 729 744 756 775 810 837 840 868 900 930 945 972 1008 1050 1080 1085 1116 1134 1200 1215 1240 1260 1296 1302 1350 1395 1400 1458 1488 1512 1550 1575 1620 1674 1680 1701 1736 1800 1860 1890 1944 1953 2025 2100 2160 2170 2187 2232 2268 2325 2430 2480 2511 2520 2604 2700 2790 2800 2835 2916 3024 3100 3150 3240 3255 3348 3402 3472 3600 3645 3720 3780 3888 3906 4050 4185 4200 4340 4374 4464 4536 4650 4725 4860 5022 5040 5103 5208 5400 5425 5580 5670 5832 5859 6075 6200 6300 6480 6510 6561 6696 6804 6975 7290 7440 7533 7560 7812 8100 8370 8400 8505 8680 8748 9072 9300 9450 9720 9765 10044 10206 10416 10800 10850 10935 11160 11340 11664 11718 12150 12400 12555 12600 13020 13122 13392 13608 13950 14175 14580 15066 15120 15309 15624 16200 16275 16740 17010 17360 17496 17577 18225 18600 18900 19440 19530 19683 20088 20412 20925 21700 21870 22320 22599 22680 23436 24300 25110 25200 25515 26040 26244 27216 27900 28350 29160 29295 30132 30618 31248 32400 32550 32805 33480 34020 34992 35154 36450 37200 37665 37800 39060 39366 40176 40824 41850 42525 43400 43740 45198 45360 45927 46872 48600 48825 50220 51030 52080 52488 52731 54675 55800 56700 58320 58590 59049 60264 61236 62775 65100 65610 66960 67797 68040 70308 72900 75330 75600 76545 78120 78732 81648 83700 85050 86800 87480 87885 90396 91854 93744 97200 97650 98415 100440 102060 104976 105462 109350 111600 112995 113400 117180 118098 120528 122472 125550 127575 130200 131220 135594 136080 137781 140616 145800 146475 150660 153090 156240 157464 158193 164025 167400 170100 174960 175770 177147 180792 183708 188325 195300 196830 200880 203391 204120 210924 218700 225990 226800 229635 234360 236196 244944 251100 255150 260400 262440 263655 271188 275562 281232 291600 292950 295245 301320 306180 314928 316386 328050 334800 338985 340200 351540 354294 361584 367416 376650 382725 390600 393660 406782 408240 413343 421848 437400 439425 451980 459270 468720 472392 474579 492075 502200 510300 524880 527310 531441 542376 551124 564975 585900 590490 602640 610173 612360 632772 656100 677970 680400 688905 703080 708588 734832 753300 765450 781200 787320 790965 813564 826686 843696 874800 878850 885735 903960 918540 944784 949158 984150 1004400 1016955 1020600 1054620 1062882 1084752 1102248 1129950 1148175 1171800 1180980 1220346 1224720 1240029 1265544 1312200 1318275 1355940 1377810 1406160 1417176 1423737 1476225 1506600 1530900 1574640 1581930 1594323 1627128 1653372 1694925 1757700 1771470 1807920 1830519 1837080 1898316 1968300 2033910 2041200 2066715 2109240 2125764 2204496 2259900 2296350 2343600 2361960 2372895 2440692 2480058 2531088 2624400 2636550 2657205 2711880 2755620 2834352 2847474 2952450 3013200 3050865 3061800 3163860 3188646 3254256 3306744 3389850 3444525 3515400 3542940 3661038 3674160 3720087 3796632 3936600 3954825 4067820 4133430 4218480 4251528 4271211 4428675 4519800 4592700 4723920 4745790 4881384 4960116 5084775 5273100 5314410 5423760 5491557 5511240 5694948 5904900 6101730 6123600 6200145 6327720 6377292 6613488 6779700 6889050 7030800 7085880 7118685 7322076 7440174 7593264 7873200 7909650 7971615 8135640 8266860 8503056 8542422 8857350 9039600 9152595 9185400 9491580 9762768 9920232 10169550 10333575 10546200 10628820 10983114 11022480 11160261 11389896 11809800 11864475 12203460 12400290 12655440 12754584 12813633 13286025 13559400 13778100 14171760 14237370 14644152 14880348 15254325 15819300 15943230 16271280 16474671 16533720 17084844 17714700 18305190 18370800 18600435 18983160 19840464 20339100 20667150 21092400 21257640 21356055 21966228 22320522 22779792 23619600 23728950 24406920 24800580 25509168 25627266 26572050 27118800 27457785 27556200 28474740 29288304 29760696 30508650 31000725 31638600 31886460 32949342 33067440 34169688 35429400 35593425 36610380 37200870 37966320 38440899 39858075 40678200 41334300 42515280 42712110 43932456 44641044 45762975 47457900 48813840 49424013 49601160 51254532 53144100 54915570 55112400 55801305 56949480 59521392 61017300 62001450 63277200 63772920 64068165 65898684 68339376 70858800 71186850 73220760 74401740 76881798 79716150 81356400 82373355 82668600 85424220 87864912 89282088 91525950 93002175 94915800 98848026 99202320 102509064 106288200 106780275 109831140 111602610 113898960 115322697 122034600 124002900 127545840 128136330 131797368 137288925 142373700 146441520 148803480 153763596 159432300 164746710 165337200 170848440 178564176 183051900 186004350 189831600 192204495 197696052 205018128 212576400 213560550 219662280 223205220 230645394 244069200 247120065 248005800 256272660 263594736 274577850 279006525 284747400 297606960 307527192 318864600 320340825 329493420 341696880 345968091 366103800 372008700 384408990 395392104 411866775 427121100 439324560 446410440 461290788 494240130 496011600 512545320 549155700 558013050 569494800 576613485 615054384 637729200 640681650 658986840 691936182 732207600 744017400 768817980 790784208 823733550 854242200 892820880 922581576 961022475 988480260 1025090640 1098311400 1116026100 1153226970 1235600325 1281363300 1317973680 1383872364 1488034800 1537635960 1647467100 1708484400 1729840455 1845163152 1922044950 1976960520 2196622800 2232052200 2306453940 2471200650 2562726600 2767744728 2883067425 3075271920 3294934200 3459680910 3844089900 3953921040 4464104400 4612907880 4942401300 5125453200 5535489456 5766134850 6589868400 6919361820 7688179800 8649202275 9225815760 9884802600 11532269700 13838723640 15376359600 17298404550 19769605200 23064539400 27677447280 34596809100 46129078800 69193618200 138387236400
• Sum of all divisors σ(n): 588343327744
• Sum of proper divisors (its aliquot sum) s(n): 449956091344
• 138387236400 is an abundant number, because the sum of its proper divisors (449956091344) is greater than itself. Its abundance is 311568854944

Bases of 138387236400

• Binary: 10000000111000100001011010011000110000₂
• Hexadecimal: 0x203885A630
• Base-36: 1RKO6R00

Squares and roots of 138387236400

• 138387236400 squared (138387236400²) is 19151027198429484960000
• 138387236400 cubed (138387236400³) is 2650257728211890843889764544000000
• The square root of 138387236400 is 372004.3499745669
• The cube root of 138387236400 is 5172.4783177441

Scales and comparisons

• 138,387,236,400 seconds is equal to 4,400 years, 14 weeks, 6 days, 3 hours.
• To count from 1 to 138,387,236,400 would take you about eight thousand, eight hundred 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 138387236400 cubic inches would be around 431 feet tall.

Recreational maths with 138387236400

• 138387236400 backwards is 004632783831
• 138387236400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138387236400's digits is 45
• More coming soon!