4148390400

Names of 4148390400

• Cardinal: 4148390400 can be written as Four billion, one hundred forty-eight million, three hundred ninety thousand, four hundred.

Scientific notation

• Scientific notation: 4.1483904 × 10⁹

Factors of 4148390400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 112

Divisors of 4148390400

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 23 24 25 28 30 32 33 35 40 42 44 46 48 50 55 56 60 61 64 66 69 70 75 77 80 84 88 92 96 100 105 110 112 115 120 122 128 132 138 140 150 154 160 161 165 168 175 176 183 184 192 200 210 220 224 230 231 240 244 253 256 264 275 276 280 300 305 308 320 322 330 336 345 350 352 366 368 384 385 400 420 427 440 448 460 462 480 483 488 506 512 525 528 550 552 560 575 600 610 616 640 644 660 671 672 690 700 704 732 736 759 768 770 800 805 825 840 854 880 896 915 920 924 960 966 976 1012 1050 1056 1100 1104 1120 1150 1155 1200 1220 1232 1265 1280 1281 1288 1320 1342 1344 1380 1400 1403 1408 1464 1472 1518 1525 1536 1540 1600 1610 1650 1680 1708 1725 1760 1771 1792 1830 1840 1848 1920 1925 1932 1952 2013 2024 2100 2112 2135 2200 2208 2240 2300 2310 2400 2415 2440 2464 2530 2560 2562 2576 2640 2684 2688 2760 2800 2806 2816 2928 2944 3036 3050 3080 3200 3220 3300 3355 3360 3416 3450 3520 3542 3584 3660 3680 3696 3795 3840 3850 3864 3904 4025 4026 4048 4200 4209 4224 4270 4400 4416 4480 4575 4600 4620 4697 4800 4830 4880 4928 5060 5124 5152 5280 5313 5368 5376 5520 5600 5612 5632 5775 5856 5888 6072 6100 6160 6325 6400 6405 6440 6600 6710 6720 6832 6900 7015 7040 7084 7320 7360 7392 7590 7680 7700 7728 7808 8050 8052 8096 8400 8418 8448 8540 8800 8832 8855 8960 9150 9200 9240 9394 9600 9660 9760 9821 9856 10065 10120 10248 10304 10560 10626 10675 10736 10752 11040 11200 11224 11550 11712 11776 12075 12144 12200 12320 12650 12800 12810 12880 13200 13420 13440 13664 13800 14030 14080 14091 14168 14640 14720 14784 15180 15400 15433 15456 15616 16100 16104 16192 16775 16800 16836 16896 17080 17600 17664 17710 17920 18300 18400 18480 18788 18975 19200 19320 19520 19642 19712 20130 20240 20496 20608 21045 21120 21252 21350 21472 22080 22400 22448 23100 23424 23485 24150 24288 24400 24640 25300 25620 25760 26400 26565 26840 26880 27328 27600 28060 28160 28182 28336 29280 29440 29463 29568 30360 30800 30866 30912 31232 32025 32200 32208 32384 33550 33600 33672 34160 35075 35200 35328 35420 36600 36800 36960 37576 37950 38400 38640 39040 39284 39424 40260 40480 40992 41216 42090 42240 42504 42700 42944 44160 44275 44800 44896 46200 46299 46848 46970 48300 48576 48800 49105 49280 50325 50600 51240 51520 52800 53130 53680 53760 54656 55200 56120 56364 56672 58560 58880 58926 59136 60720 61600 61732 61824 64050 64400 64416 64768 67100 67200 67344 68320 70150 70400 70455 70840 73200 73600 73920 75152 75900 77165 77280 78080 78568 80520 80960 81984 82432 84180 84480 85008 85400 85888 88320 88550 89600 89792 92400 92598 93696 93940 96600 97152 97600 98210 98560 100650 101200 102480 103040 105225 105600 106260 107360 108031 109312 110400 112240 112728 113344 117120 117425 117852 118272 121440 123200 123464 123648 128100 128800 128832 129536 132825 134200 134400 134688 136640 140300 140800 140910 141680 146400 147200 147315 147840 150304 151800 154330 154560 156160 157136 161040 161920 163968 168360 170016 170800 171776 176640 177100 179584 184800 185196 187880 193200 194304 195200 196420 197120 201300 202400 204960 206080 210450 211200 212520 214720 216062 218624 220800 224480 225456 226688 231495 234240 234850 235704 242880 245525 246400 246928 247296 256200 257600 257664 265650 268400 268800 269376 273280 280600 281820 283360 292800 294400 294630 295680 300608 303600 308660 309120 314272 322080 323840 324093 327936 336720 340032 341600 343552 352275 354200 359168 369600 370392 375760 385825 386400 388608 390400 392840 402600 404800 409920 412160 420900 422400 425040 429440 432124 441600 448960 450912 453376 462990 468480 469700 471408 485760 491050 492800 493856 512400 515200 515328 531300 536800 538752 540155 546560 561200 563640 566720 585600 589260 591360 601216 607200 617320 618240 628544 644160 647680 648186 655872 673440 680064 683200 704550 708400 718336 736575 739200 740784 751520 771650 772800 780800 785680 805200 809600 819840 841800 850080 858880 864248 883200 897920 901824 906752 925980 939400 942816 971520 982100 985600 987712 1024800 1030400 1030656 1062600 1073600 1077504 1080310 1093120 1122400 1127280 1133440 1157475 1171200 1178520 1202432 1214400 1234640 1236480 1257088 1288320 1296372 1346880 1360128 1366400 1409100 1416800 1473150 1478400 1481568 1503040 1543300 1545600 1571360 1610400 1619200 1620465 1639680 1683600 1700160 1717760 1728496 1795840 1803648 1851960 1878800 1885632 1943040 1964200 1975424 2049600 2060800 2125200 2147200 2155008 2160620 2244800 2254560 2266880 2314950 2342400 2357040 2404864 2428800 2469280 2514176 2576640 2592744 2693760 2700775 2720256 2732800 2818200 2833600 2946300 2956800 2963136 3006080 3086600 3091200 3142720 3220800 3238400 3240930 3279360 3367200 3400320 3456992 3591680 3607296 3703920 3757600 3771264 3928400 3950848 4099200 4250400 4294400 4321240 4489600 4509120 4533760 4629900 4714080 4857600 4938560 5028352 5153280 5185488 5387520 5401550 5465600 5636400 5667200 5892600 5926272 6012160 6173200 6182400 6285440 6441600 6481860 6734400 6800640 6913984 7214592 7407840 7515200 7542528 7856800 7901696 8102325 8198400 8500800 8588800 8642480 8979200 9018240 9259800 9428160 9715200 9877120 10370976 10775040 10803100 11272800 11334400 11785200 11852544 12024320 12346400 12570880 12883200 12963720 13468800 13601280 13827968 14815680 15030400 15085056 15713600 16204650 16396800 17001600 17284960 17958400 18036480 18519600 18856320 19754240 20741952 21606200 22545600 22668800 23570400 23705088 24692800 25141760 25766400 25927440 26937600 27655936 29631360 30060800 31427200 32409300 34003200 34569920 36072960 37039200 37712640 39508480 41483904 43212400 45091200 47140800 49385600 51854880 53875200 55311872 59262720 60121600 62854400 64818600 68006400 69139840 74078400 75425280 82967808 86424800 90182400 94281600 98771200 103709760 118525440 125708800 129637200 138279680 148156800 165935616 172849600 180364800 188563200 197542400 207419520 259274400 276559360 296313600 345699200 377126400 414839040 518548800 592627200 691398400 829678080 1037097600 1382796800 2074195200 4148390400
• Sum of all divisors σ(n): 18120554496
• Sum of proper divisors (its aliquot sum) s(n): 13972164096
• 4148390400 is an abundant number, because the sum of its proper divisors (13972164096) is greater than itself. Its abundance is 9823773696

Bases of 4148390400

• Binary: 11110111010000110110101000000000₂
• Hexadecimal: 0xF7436A00
• Base-36: 1WLUEIO

Squares and roots of 4148390400

• 4148390400 squared (4148390400²) is 17209142910812160000
• 4148390400 cubed (4148390400³) is 71390243243441220747264000000
• The square root of 4148390400 is 64407.9995031673
• The cube root of 4148390400 is 1606.7927871321

Scales and comparisons

• 4,148,390,400 seconds is equal to 131 years, 47 weeks, 18 hours, 40 minutes.
• To count from 1 to 4,148,390,400 would take you about two hundred sixty-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 4148390400 cubic inches would be around 133.9 feet tall.

Recreational maths with 4148390400

• 4148390400 backwards is 0040938414
• 4148390400 is a Harshad number.
• The number of decimal digits it has is: 10
• The sum of 4148390400's digits is 33
• More coming soon!