40128117120

Names of 40128117120

• Cardinal: 40128117120 can be written as Forty billion, one hundred twenty-eight million, one hundred seventeen thousand, one hundred twenty.

Scientific notation

• Scientific notation: 4.012811712 × 10¹⁰

Factors of 40128117120

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 181

Divisors of 40128117120

• Number of divisors d(n): 1024
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 32 35 36 39 40 42 45 48 52 54 56 60 63 64 65 70 72 78 80 84 90 91 96 104 105 108 112 117 120 126 128 130 135 140 144 151 156 160 168 169 180 182 189 192 195 208 210 216 224 234 240 252 260 270 273 280 288 302 312 315 320 336 338 351 360 364 378 384 390 416 420 432 448 453 455 468 480 504 507 520 540 546 560 576 585 604 624 630 640 672 676 702 720 728 755 756 780 819 832 840 845 864 896 906 910 936 945 960 1008 1014 1040 1057 1080 1092 1120 1152 1170 1183 1208 1248 1260 1344 1352 1359 1365 1404 1440 1456 1510 1512 1521 1560 1638 1664 1680 1690 1728 1755 1812 1820 1872 1890 1920 1963 2016 2028 2080 2114 2160 2184 2197 2240 2265 2340 2366 2416 2457 2496 2520 2535 2688 2704 2718 2730 2808 2880 2912 3020 3024 3042 3120 3171 3276 3360 3380 3456 3510 3549 3624 3640 3744 3780 3926 4032 4056 4077 4095 4160 4228 4320 4368 4394 4480 4530 4563 4680 4732 4832 4914 4992 5040 5070 5285 5408 5436 5460 5616 5760 5824 5889 5915 6040 6048 6084 6240 6342 6552 6591 6720 6760 6795 7020 7098 7248 7280 7488 7560 7605 7852 8064 8112 8154 8190 8320 8456 8640 8736 8788 9060 9126 9360 9464 9513 9664 9815 9828 10080 10140 10570 10647 10816 10872 10920 10985 11232 11648 11778 11830 12080 12096 12168 12285 12480 12684 13104 13182 13440 13520 13590 13741 14040 14196 14496 14560 14976 15120 15210 15379 15704 15855 16224 16308 16380 16912 17280 17472 17576 17667 17745 18120 18252 18720 18928 19026 19328 19630 19656 19773 20160 20280 20385 21140 21294 21632 21744 21840 21970 22464 22815 23556 23660 24160 24192 24336 24570 24960 25368 25519 26208 26364 27040 27180 27482 28080 28392 28539 28992 29120 29445 30240 30420 30758 31408 31710 31941 32448 32616 32760 32955 33824 34944 35152 35334 35490 36240 36504 37440 37856 38052 39260 39312 39546 40320 40560 40770 41223 42280 42588 43488 43680 43940 44928 45630 46137 47112 47320 47565 48320 48672 49140 50736 51038 52416 52728 53001 53235 54080 54360 54964 56160 56784 57078 57984 58240 58890 59319 60480 60840 61516 62816 63420 63882 64896 65232 65520 65910 67648 68705 70304 70668 70980 72480 73008 74880 75712 76104 76557 76895 78520 78624 79092 81120 81540 82446 84560 85176 86976 87360 87880 88335 91260 92274 94224 94640 95130 96640 97344 98280 98865 101472 102076 104832 105456 106002 106470 108160 108720 109928 112320 113568 114156 117780 118638 120960 121680 123032 123669 125632 126840 127595 127764 130464 131040 131820 135296 137410 138411 140608 141336 141960 142695 144960 146016 151424 152208 153114 153790 157040 157248 158184 159705 162240 163080 164892 169120 170352 173952 174720 175760 176670 178633 182520 184548 188448 189280 190260 194688 196560 197730 202944 204152 206115 210912 212004 212940 217440 219856 224640 227136 228312 229671 230685 235560 237276 243360 246064 247338 251264 253680 255190 255528 260928 262080 263640 265005 274820 276822 281216 282672 283920 285390 289920 292032 296595 304416 306228 307580 314080 314496 316368 319410 324480 326160 329784 331747 338240 340704 351520 353340 357266 365040 369096 371007 376896 378560 380520 382785 393120 395460 405888 408304 412230 415233 421824 424008 425880 434880 439712 454272 456624 459342 461370 471120 474552 486720 492128 494676 507360 510380 511056 521856 524160 527280 530010 535899 549640 553644 565344 567840 570780 584064 593190 608832 612456 615160 618345 628160 632736 638820 652320 659568 663494 676480 681408 689013 692055 703040 706680 714532 730080 738192 742014 753792 757120 761040 765570 786240 790920 816608 824460 830466 843648 848016 851760 869760 879424 893165 913248 918684 922740 942240 949104 973440 984256 989352 995241 1014720 1020760 1022112 1054560 1060020 1071798 1099280 1107288 1130688 1135680 1141560 1148355 1186380 1217664 1224912 1230320 1236690 1256320 1265472 1277640 1304640 1319136 1326988 1362816 1378026 1384110 1406080 1413360 1429064 1460160 1476384 1484028 1522080 1531140 1572480 1581840 1607697 1633216 1648920 1658735 1660932 1696032 1703520 1758848 1786330 1826496 1837368 1845480 1855035 1884480 1898208 1968512 1978704 1990482 2029440 2041520 2044224 2076165 2109120 2120040 2143596 2198560 2214576 2261376 2271360 2283120 2296710 2322229 2372760 2449824 2460640 2473380 2530944 2555280 2609280 2638272 2653976 2679495 2756052 2768220 2826720 2858128 2920320 2952768 2968056 2985723 3044160 3062280 3163680 3215394 3266432 3297840 3317470 3321864 3392064 3407040 3445065 3572660 3652992 3674736 3690960 3710070 3768960 3796416 3957408 3980964 4083040 4088448 4152330 4218240 4240080 4287192 4397120 4429152 4566240 4593420 4644458 4745520 4823091 4899648 4921280 4946760 4976205 5110560 5276544 5307952 5358990 5512104 5536440 5653440 5716256 5905536 5936112 5971446 6088320 6124560 6327360 6430788 6595680 6634940 6643728 6784128 6814080 6890130 6966687 7145320 7349472 7381920 7420140 7592832 7914816 7961928 8038485 8166080 8304660 8480160 8574384 8794240 8858304 8957169 9132480 9186840 9288916 9491040 9646182 9799296 9842560 9893520 9952410 10221120 10615904 10717980 11024208 11072880 11306880 11432512 11611145 11872224 11942892 12249120 12654720 12861576 13191360 13269880 13287456 13780260 13933374 14290640 14698944 14763840 14840280 14928615 15829632 15923856 16076970 16332160 16609320 16960320 17148768 17716608 17914338 18264960 18373680 18577832 18982080 19292364 19787040 19904820 20442240 20900061 21231808 21435960 22048416 22145760 22865024 23222290 23744448 23885784 24115455 24498240 25723152 26382720 26539760 26574912 27560520 27866748 28581280 29397888 29527680 29680560 29857230 31847712 32153940 33218640 33920640 34297536 34833435 35828676 36747360 37155664 37964160 38584728 39574080 39809640 41800122 42463616 42871920 44096832 44291520 44785845 46444580 47488896 47771568 48230910 48996480 51446304 53079520 53149824 55121040 55733496 57162560 59361120 59714460 62700183 63695424 64307880 66437280 68595072 69666870 71657352 73494720 74311328 77169456 79148160 79619280 83600244 85743840 88193664 88583040 89571690 92889160 95543136 96461820 102892608 104500305 106159040 110242080 111466992 114325120 118722240 119428920 125400366 127390848 128615760 132874560 139333740 143314704 146989440 148622656 154338912 159238560 167200488 171487680 179143380 185778320 191086272 192923640 205785216 209000610 212318080 220484160 222933984 237444480 238857840 250800732 257231520 265749120 278667480 286629408 297245312 308677824 313500915 318477120 334400976 342975360 358286760 371556640 382172544 385847280 418001220 440968320 445867968 477715680 501601464 514463040 557334960 573258816 617355648 627001830 636954240 668801952 716573520 743113280 771694560 836002440 891735936 955431360 1003202928 1028926080 1114669920 1146517632 1254003660 1337603904 1433147040 1486226560 1543389120 1672004880 1910862720 2006405856 2229339840 2508007320 2675207808 2866294080 3086778240 3344009760 4012811712 4458679680 5016014640 5732588160 6688019520 8025623424 10032029280 13376039040 20064058560 40128117120
• Sum of all divisors σ(n): 177117696000
• Sum of proper divisors (its aliquot sum) s(n): 136989578880
• 40128117120 is an abundant number, because the sum of its proper divisors (136989578880) is greater than itself. Its abundance is 96861461760

Bases of 40128117120

• Binary: 100101010111110100100111100110000000₂
• Hexadecimal: 0x957D27980
• Base-36: IFN8TC0

Squares and roots of 40128117120

• 40128117120 squared (40128117120²) is 1610265783596437094400
• 40128117120 cubed (40128117120³) is 64616933958486402538795696128000
• The square root of 40128117120 is 200320.0367412107
• The cube root of 40128117120 is 3423.5992885651

Scales and comparisons

• 40,128,117,120 seconds is equal to 1,275 years, 49 weeks, 2 days, 19 hours, 12 minutes.
• To count from 1 to 40,128,117,120 would take you about two thousand, five hundred fifty-one 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 40128117120 cubic inches would be around 285.3 feet tall.

Recreational maths with 40128117120

• 40128117120 backwards is 02171182104
• 40128117120 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 40128117120's digits is 27
• More coming soon!