148164960768

Names of 148164960768

• Cardinal: 148164960768 can be written as One hundred forty-eight billion, one hundred sixty-four million, nine hundred sixty thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.48164960768 × 10¹¹

Factors of 148164960768

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 176

Divisors of 148164960768

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 121 128 132 137 138 176 184 192 242 253 256 264 274 276 352 363 368 384 411 484 506 512 528 529 548 552 704 726 736 759 768 822 968 1012 1056 1058 1096 1104 1331 1408 1452 1472 1507 1518 1536 1587 1644 1936 2024 2112 2116 2192 2208 2662 2783 2816 2904 2944 3014 3036 3151 3174 3288 3872 3993 4048 4224 4232 4384 4416 4521 5324 5566 5632 5808 5819 5888 6028 6072 6302 6348 6576 7744 7986 8096 8349 8448 8464 8768 8832 9042 9453 10648 11132 11616 11638 11776 12056 12144 12604 12696 13152 15488 15972 16192 16577 16698 16896 16928 17457 17536 17664 18084 18906 21296 22264 23232 23276 24112 24288 25208 25392 26304 30613 30976 31944 32384 33154 33396 33856 34661 34914 35072 35328 36168 37812 42592 44528 46464 46552 48224 48576 49731 50416 50784 52608 61226 61952 63888 64009 64768 66308 66792 67712 69322 69828 70144 72336 72473 75624 85184 89056 91839 92928 93104 96448 97152 99462 100832 101568 103983 105216 122452 127776 128018 129536 132616 133584 135424 138644 139656 144672 144946 151248 170368 178112 182347 183678 185856 186208 192027 192896 194304 198924 201664 203136 207966 210432 217419 244904 255552 256036 265232 267168 270848 277288 279312 289344 289892 302496 340736 356224 364694 367356 372416 381271 384054 385792 388608 397848 403328 406272 415932 434838 489808 511104 512072 530464 534336 547041 554576 558624 578688 579784 604992 681472 704099 712448 729388 734712 744832 762542 768108 771584 795696 797203 806656 812544 831864 869676 979616 1022208 1024144 1060928 1068672 1094082 1109152 1117248 1143813 1157376 1159568 1209984 1408198 1424896 1458776 1469424 1489664 1525084 1536216 1591392 1594406 1613312 1663728 1739352 1959232 2044416 2048288 2112297 2121856 2137344 2188164 2218304 2234496 2287626 2314752 2319136 2391609 2419968 2816396 2917552 2938848 2979328 3050168 3072432 3182784 3188812 3327456 3478704 3918464 4096576 4193981 4224594 4243712 4274688 4376328 4436608 4468992 4575252 4638272 4783218 4839936 5632792 5835104 5877696 6100336 6144864 6365568 6377624 6654912 6957408 7836928 8193152 8387962 8449188 8487424 8752656 8769233 8873216 8937984 9150504 9276544 9566436 11265584 11670208 11755392 12200672 12289728 12581943 12731136 12755248 13309824 13914816 15673856 16386304 16775924 16898376 17505312 17538466 17746432 18301008 18553088 19132872 22531168 23340416 23510784 24401344 24579456 25163886 25462272 25510496 26307699 26619648 27829632 32772608 33551848 33796752 35010624 35076932 36602016 37106176 38265744 45062336 46680832 47021568 48802688 49158912 50327772 51020992 52615398 53239296 55659264 67103696 67593504 70021248 70153864 73204032 76531488 90124672 93361664 96461563 97605376 98317824 100655544 102041984 105230796 111318528 134207392 135187008 140042496 140307728 146408064 153062976 180249344 192923126 195210752 201311088 204083968 210461592 268414784 270374016 280084992 280615456 289384689 292816128 306125952 360498688 385846252 402622176 408167936 420923184 536829568 540748032 561230912 578769378 585632256 612251904 771692504 805244352 841846368 1073659136 1081496064 1122461824 1157538756 1224503808 1543385008 1610488704 1683692736 2147318272 2244923648 2315077512 3086770016 3220977408 3367385472 4489847296 4630155024 6173540032 6441954816 6734770944 9260310048 12347080064 13469541888 18520620096 24694160128 37041240192 49388320256 74082480384 148164960768
• Sum of all divisors σ(n): 457173364032
• Sum of proper divisors (its aliquot sum) s(n): 309008403264
• 148164960768 is an abundant number, because the sum of its proper divisors (309008403264) is greater than itself. Its abundance is 160843442496

Bases of 148164960768

• Binary: 10001001111111010100011110001000000000₂
• Hexadecimal: 0x227F51E200
• Base-36: 1W2DLBEO

Squares and roots of 148164960768

• 148164960768 squared (148164960768²) is 21952855599382979149824
• 148164960768 cubed (148164960768³) is 3252643988628148230740634954104832
• The square root of 148164960768 is 384922.0190739937
• The cube root of 148164960768 is 5291.5369951009

Scales and comparisons

• 148,164,960,768 seconds is equal to 4,711 years, 9 weeks, 5 days, 5 hours, 32 minutes, 48 seconds.
• To count from 1 to 148,164,960,768 would take you about nine thousand, four hundred twenty-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 148164960768 cubic inches would be around 441 feet tall.

Recreational maths with 148164960768

• 148164960768 backwards is 867069461841
• The number of decimal digits it has is: 12
• The sum of 148164960768's digits is 60
• More coming soon!