40956128640

Names of 40956128640

• Cardinal: 40956128640 can be written as Forty billion, nine hundred fifty-six million, one hundred twenty-eight thousand, six hundred forty.

Scientific notation

• Scientific notation: 4.095612864 × 10¹⁰

Factors of 40956128640

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 199

Divisors of 40956128640

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 31 32 35 36 40 42 45 48 49 56 60 62 63 64 70 72 80 84 90 93 96 98 105 112 120 124 126 128 140 144 147 151 155 160 168 180 186 192 196 210 217 224 240 245 248 252 279 280 288 294 302 310 315 320 336 360 372 384 392 420 434 441 448 453 465 480 490 496 504 558 560 576 588 604 620 630 640 651 672 720 735 744 755 784 840 868 882 896 906 930 960 961 980 992 1008 1057 1085 1116 1120 1152 1176 1208 1240 1260 1302 1344 1359 1395 1440 1470 1488 1510 1519 1568 1680 1736 1764 1812 1860 1920 1922 1953 1960 1984 2016 2114 2170 2205 2232 2240 2265 2352 2416 2480 2520 2604 2688 2718 2790 2880 2883 2940 2976 3020 3038 3136 3171 3255 3360 3472 3528 3624 3720 3844 3906 3920 3968 4032 4228 4340 4410 4464 4480 4530 4557 4681 4704 4805 4832 4960 5040 5208 5285 5436 5580 5760 5766 5880 5952 6040 6076 6272 6342 6510 6720 6727 6795 6944 7056 7248 7399 7440 7595 7688 7812 7840 8064 8456 8649 8680 8820 8928 9060 9114 9362 9408 9513 9610 9664 9765 9920 10080 10416 10570 10872 11160 11532 11760 11904 12080 12152 12684 13020 13440 13454 13590 13671 13888 14043 14112 14415 14496 14798 14880 15190 15376 15624 15680 15855 16912 17298 17360 17640 17856 18120 18228 18724 18816 19026 19220 19328 19530 19840 20160 20181 20832 21140 21744 22197 22320 22785 23064 23405 23520 24160 24304 25368 26040 26908 27180 27342 27776 28086 28224 28830 28992 29596 29760 30380 30752 31248 31360 31710 32767 33635 33824 34596 34720 35280 35712 36240 36456 36995 37448 38052 38440 39060 40320 40362 41664 42129 42280 43245 43488 44394 44640 45570 46128 46810 47040 47089 47565 48320 48608 50736 52080 53816 54360 54684 56172 56448 57660 57984 59192 59520 60543 60760 61504 62496 63420 65534 66591 67270 67648 68355 69192 69440 70215 70560 72480 72912 73990 74896 76104 76880 78120 80724 83328 84258 84560 86490 86976 88788 89280 91140 92256 93620 94080 94178 95130 96640 97216 98301 100905 101472 104160 107632 108720 109368 110985 112344 115320 118384 121086 121520 123008 124992 126840 131068 133182 134540 135296 136710 138384 138880 140430 141120 141267 144960 145111 145824 147980 149792 152208 153760 156240 161448 163835 168516 169120 172980 173952 177576 178560 182280 184512 187240 188356 190260 194432 196602 201810 202944 208320 210645 215264 217440 218736 221970 224688 229369 230640 235445 236768 242172 243040 249984 253680 262136 266364 269080 273420 276768 280860 282240 282534 289920 290222 291648 294903 295960 299584 302715 304416 307520 312480 322896 327670 332955 337032 338240 345960 355152 364560 369024 374480 376712 380520 393204 403620 405888 416640 421290 423801 430528 434880 435333 437472 443940 449376 458738 461280 470890 473536 484344 486080 491505 507360 524272 532728 538160 546840 553536 561720 565068 580444 583296 589806 591920 599168 605430 608832 615040 624960 645792 655340 665910 674064 676480 688107 691920 706335 710304 725555 729120 748960 753424 761040 786408 807240 842580 847602 861056 869760 870666 874944 887880 898752 917476 922560 941780 947072 968688 972160 983010 1014720 1015777 1048544 1065456 1076320 1093680 1107072 1123440 1130136 1146845 1160888 1179612 1183840 1210860 1217664 1249920 1291584 1305999 1310680 1331820 1348128 1376214 1383840 1412670 1420608 1451110 1458240 1474515 1497920 1506848 1522080 1572816 1614480 1685160 1695204 1741332 1749888 1775760 1797504 1834952 1845120 1883560 1937376 1966020 2029440 2031554 2064321 2097088 2119005 2130912 2152640 2176665 2187360 2246880 2260272 2293690 2321776 2359224 2367680 2421720 2583168 2611998 2621360 2663640 2696256 2752428 2767680 2825340 2841216 2902220 2916480 2949030 2995840 3013696 3044160 3047331 3145632 3228960 3370320 3390408 3440535 3482664 3551520 3669904 3767120 3874752 3932040 4063108 4128642 4194176 4238010 4261824 4305280 4353330 4374720 4493760 4520544 4587380 4643552 4718448 4735360 4843440 5078885 5223996 5242720 5327280 5392512 5504856 5535360 5650680 5804440 5898060 6027392 6088320 6094662 6291264 6457920 6529995 6740640 6780816 6881070 6965328 7103040 7110439 7339808 7534240 7749504 7864080 8126216 8257284 8476020 8523648 8706660 8749440 8987520 9041088 9141993 9174760 9287104 9436896 9686880 10157770 10321605 10447992 10485440 10654560 11009712 11301360 11608880 11796120 12189324 12582528 12915840 13059990 13481280 13561632 13762140 13930656 14206080 14220878 14679616 15068480 15236655 15728160 16252432 16514568 16952040 17413320 18082176 18283986 18349520 18574208 18873792 19373760 20315540 20643210 20895984 20970880 21309120 21331317 22019424 22602720 23217760 23592240 24378648 26119980 26962560 27123264 27524280 27861312 28441756 29359232 30136960 30473310 31456320 32504864 33029136 33904080 34826640 35552195 36567972 36699040 37747584 38747520 40631080 41286420 41791968 42618240 42662634 44038848 45205440 45709965 46435520 47184480 48757296 52239960 54246528 55048560 55722624 56883512 60946620 62912640 63993951 65009728 66058272 67808160 69653280 71104390 73135944 73398080 81262160 82572840 83583936 85325268 88077696 90410880 91419930 92871040 94368960 97514592 104479920 106656585 110097120 113767024 121893240 127987902 130019456 132116544 135616320 139306560 142208780 146271888 146796160 162524320 165145680 167167872 170650536 182839860 188737920 195029184 208959840 213313170 220194240 227534048 243786480 255975804 264233088 271232640 278613120 284417560 292543776 319969755 325048640 330291360 341301072 365679720 390058368 417919680 426626340 440388480 455068096 487572960 511951608 568835120 585087552 639939510 650097280 660582720 682602144 731359440 835839360 853252680 910136192 975145920 1023903216 1137670240 1170175104 1279879020 1321165440 1365204288 1462718880 1706505360 1950291840 2047806432 2275340480 2559758040 2730408576 2925437760 3413010720 4095612864 4550680960 5119516080 5850875520 6826021440 8191225728 10239032160 13652042880 20478064320 40956128640
• Sum of all divisors σ(n): 171120671280
• Sum of proper divisors (its aliquot sum) s(n): 130164542640
• 40956128640 is an abundant number, because the sum of its proper divisors (130164542640) is greater than itself. Its abundance is 89208414000

Bases of 40956128640

• Binary: 100110001001001011001110110110000000₂
• Hexadecimal: 0x9892CED80
• Base-36: ITC7Z40

Squares and roots of 40956128640

• 40956128640 squared (40956128640²) is 1677404473176228249600
• 40956128640 cubed (40956128640³) is 68699993384717033580619628544000
• The square root of 40956128640 is 202376.2057159883
• The cube root of 40956128640 is 3446.9868991677

Scales and comparisons

• 40,956,128,640 seconds is equal to 1,302 years, 14 weeks, 3 days, 6 hours, 24 minutes.
• To count from 1 to 40,956,128,640 would take you about two thousand, six hundred four 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 40956128640 cubic inches would be around 287.2 feet tall.

Recreational maths with 40956128640

• 40956128640 backwards is 04682165904
• 40956128640 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 40956128640's digits is 45
• More coming soon!