48135913390080

Names of 48135913390080

• Cardinal: 48135913390080 can be written as Forty-eight trillion, one hundred thirty-five billion, nine hundred thirteen million, three hundred ninety thousand and eighty.

Scientific notation

• Scientific notation: 4.813591339008 × 10¹³

Factors of 48135913390080

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 28
• Sum of prime factors: 148

Divisors of 48135913390080

• Number of divisors d(n): 1440
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 32 36 40 45 48 54 60 62 64 72 80 81 90 93 96 107 108 120 124 128 135 144 155 160 162 180 186 192 214 216 240 243 248 256 270 279 288 310 320 321 324 360 372 384 405 428 432 465 480 486 496 512 535 540 558 576 620 640 642 648 720 729 744 768 810 837 856 864 930 960 963 972 992 1024 1070 1080 1116 1152 1215 1240 1280 1284 1296 1395 1440 1458 1488 1536 1605 1620 1674 1712 1728 1860 1920 1926 1944 1984 2048 2140 2160 2187 2232 2304 2430 2480 2511 2560 2568 2592 2790 2880 2889 2916 2976 3072 3210 3240 3317 3348 3424 3456 3645 3720 3840 3852 3888 3968 4096 4185 4280 4320 4374 4464 4608 4815 4860 4960 5022 5120 5136 5184 5580 5760 5778 5832 5952 6144 6420 6480 6561 6634 6696 6848 6912 7290 7440 7533 7680 7704 7776 7936 8192 8370 8560 8640 8667 8748 8928 9216 9630 9720 9920 9951 10044 10240 10272 10368 10935 11160 11520 11556 11664 11904 12288 12555 12840 12960 13122 13268 13392 13696 13824 14445 14580 14880 15066 15360 15408 15552 15872 16384 16585 16740 17120 17280 17334 17496 17856 18432 19260 19440 19683 19840 19902 20088 20480 20544 20736 21870 22320 22599 23040 23112 23328 23808 24576 25110 25680 25920 26001 26244 26536 26784 27392 27648 28890 29160 29760 29853 30132 30720 30816 31104 31744 32805 33170 33480 34240 34560 34668 34992 35712 36864 37665 38520 38880 39366 39680 39804 40176 40960 41088 41472 43335 43740 44640 45198 46080 46224 46656 47616 49152 49755 50220 51360 51840 52002 52488 53072 53568 54784 55296 57780 58320 59049 59520 59706 60264 61440 61632 62208 63488 65610 66340 66960 67797 68480 69120 69336 69984 71424 73728 75330 77040 77760 78003 78732 79360 79608 80352 81920 82176 82944 86670 87480 89280 89559 90396 92160 92448 93312 95232 98415 99510 100440 102720 103680 104004 104976 106144 107136 109568 110592 112995 115560 116640 118098 119040 119412 120528 122880 123264 124416 126976 130005 131220 132680 133920 135594 136960 138240 138672 139968 142848 147456 149265 150660 154080 155520 156006 157464 158720 159216 160704 164352 165888 173340 174960 177147 178560 179118 180792 184320 184896 186624 190464 196830 199020 200880 203391 205440 207360 208008 209952 212288 214272 219136 221184 225990 231120 233280 234009 236196 238080 238824 241056 245760 246528 248832 253952 260010 262440 265360 267840 268677 271188 273920 276480 277344 279936 285696 295245 298530 301320 308160 311040 312012 314928 317440 318432 321408 328704 331776 338985 346680 349920 354294 357120 358236 361584 368640 369792 373248 380928 390015 393660 398040 401760 406782 410880 414720 416016 419904 424576 428544 438272 442368 447795 451980 462240 466560 468018 472392 476160 477648 482112 493056 497664 507904 520020 524880 530720 535680 537354 542376 547840 552960 554688 559872 571392 590490 597060 602640 610173 616320 622080 624024 629856 634880 636864 642816 657408 663552 677970 693360 699840 702027 708588 714240 716472 723168 737280 739584 746496 761856 780030 787320 796080 803520 806031 813564 821760 829440 832032 839808 849152 857088 876544 885735 895590 903960 924480 933120 936036 944784 952320 955296 964224 986112 995328 1016955 1040040 1049760 1061440 1071360 1074708 1084752 1095680 1105920 1109376 1119744 1142784 1170045 1180980 1194120 1205280 1220346 1232640 1244160 1248048 1259712 1269760 1273728 1285632 1314816 1327104 1343385 1355940 1386720 1399680 1404054 1417176 1428480 1432944 1446336 1479168 1492992 1523712 1560060 1574640 1592160 1607040 1612062 1627128 1643520 1658880 1664064 1679616 1698304 1714176 1753088 1771470 1791180 1807920 1830519 1848960 1866240 1872072 1889568 1904640 1910592 1928448 1972224 1990656 2033910 2080080 2099520 2106081 2122880 2142720 2149416 2169504 2191360 2211840 2218752 2239488 2285568 2340090 2361960 2388240 2410560 2418093 2440692 2465280 2488320 2496096 2519424 2539520 2547456 2571264 2629632 2686770 2711880 2773440 2799360 2808108 2834352 2856960 2865888 2892672 2958336 2985984 3050865 3120120 3149280 3184320 3214080 3224124 3254256 3287040 3317760 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8626507776 9285477120 9372257280 9401545584 9585008640 9704821248 9904508928 9997074432 10446161760 10783134720 11005009920 11142572544 11246708736 11502010368 11751931980 12131026560 12380636160 12496343040 12535394112 12939761664 13206011904 13928215680 14058385920 14377512960 14511882240 14856763392 14995611648 15669242640 16174702080 16507514880 16661790720 16713858816 17253015552 18570954240 18744514560 18803091168 19170017280 19409642496 19809017856 20892323520 21566269440 22010019840 22285145088 22493417472 23503863960 24262053120 24761272320 24992686080 25070788224 25879523328 27856431360 28116771840 28755025920 29713526784 29991223296 31338485280 32349404160 33015029760 33427717632 34506031104 37141908480 37489029120 37606182336 38819284992 39618035712 41784647040 43132538880 44570290176 44986834944 47007727920 48524106240 49522544640 49985372160 50141576448 51759046656 55712862720 56233543680 57510051840 59427053568 62676970560 64698808320 66030059520 66855435264 74283816960 74978058240 75212364672 77638569984 83569294080 86265077760 89140580352 89973669888 94015455840 97048212480 99045089280 100283152896 103518093312 111425725440 112467087360 118854107136 125353941120 129397616640 133710870528 148567633920 149956116480 150424729344 155277139968 167138588160 172530155520 178281160704 188030911680 194096424960 198090178560 200566305792 222851450880 224934174720 250707882240 258795233280 267421741056 297135267840 300849458688 310554279936 334277176320 356562321408 376061823360 388192849920 401132611584 445702901760 449868349440 501415764480 517590466560 534843482112 594270535680 601698917376 668554352640 752123646720 776385699840 802265223168 891405803520 1002831528960 1069686964224 1203397834752 1337108705280 1504247293440 1552771399680 1604530446336 1782811607040 2005663057920 2406795669504 2674217410560 3008494586880 3209060892672 4011326115840 4813591339008 5348434821120 6016989173760 8022652231680 9627182678016 12033978347520 16045304463360 24067956695040 48135913390080
• Sum of all divisors σ(n): 180545184368640
• Sum of proper divisors (its aliquot sum) s(n): 132409270978560
• 48135913390080 is an abundant number, because the sum of its proper divisors (132409270978560) is greater than itself. Its abundance is 84273357588480

Bases of 48135913390080

• Binary: 1010111100011110000100000001001100000000000000₂
• Hexadecimal: 0x2BC78404C000
• Base-36: H29C00000

Squares and roots of 48135913390080

• 48135913390080 squared (48135913390080²) is 2317066157897283038242406400
• 48135913390080 cubed (48135913390080³) is 111534095895629046137784314938641088512000
• The square root of 48135913390080 is 6938005.0007246321
• The cube root of 48135913390080 is 36376.6810627659

Scales and comparisons

• 48,135,913,390,080 seconds is equal to 1,530,573 years, 7 weeks, 6 days, 4 hours, 48 minutes.
• To count from 1 to 48,135,913,390,080 would take you about three million, eight hundred twenty-six thousand, four hundred thirty-two 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 48135913390080 cubic inches would be around 3031.4 feet tall.

Recreational maths with 48135913390080

• 48135913390080 backwards is 08009331953184
• 48135913390080 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 48135913390080's digits is 54
• More coming soon!