40010006400

Names of 40010006400

• Cardinal: 40010006400 can be written as Forty billion, ten million, six thousand, four hundred.

Scientific notation

• Scientific notation: 4.00100064 × 10¹⁰

Factors of 40010006400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 301

Divisors of 40010006400

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 50 52 56 60 64 65 70 75 78 80 84 91 96 100 104 105 112 120 128 130 140 150 156 160 168 169 175 182 192 195 200 208 210 224 240 260 271 273 280 300 312 320 325 336 338 350 364 384 390 400 416 420 448 455 480 507 520 525 542 546 560 600 624 640 650 672 676 700 728 780 800 813 832 840 845 896 910 960 975 1014 1040 1050 1084 1092 1120 1183 1200 1248 1300 1344 1352 1355 1365 1400 1456 1560 1600 1626 1664 1680 1690 1820 1897 1920 1950 2028 2080 2100 2168 2184 2197 2240 2275 2366 2400 2496 2535 2600 2688 2704 2710 2730 2800 2912 3120 3200 3252 3360 3380 3523 3549 3640 3794 3900 4056 4065 4160 4200 4225 4336 4368 4394 4480 4550 4732 4800 4992 5070 5200 5408 5420 5460 5600 5691 5824 5915 6240 6504 6591 6720 6760 6775 6825 7046 7098 7280 7588 7800 8112 8130 8320 8400 8450 8672 8736 8788 9100 9464 9485 9600 10140 10400 10569 10816 10840 10920 10985 11200 11382 11648 11830 12480 12675 13008 13182 13440 13520 13550 13650 14092 14196 14560 15176 15379 15600 16224 16260 16800 16900 17344 17472 17576 17615 17745 18200 18928 18970 20280 20325 20800 21138 21632 21680 21840 21970 22400 22764 23660 24661 24960 25350 26016 26364 27040 27100 27300 28184 28392 28455 29120 29575 30352 30758 31200 32448 32520 32955 33600 33800 34688 34944 35152 35230 35490 36400 37856 37940 40560 40650 41600 42276 43360 43680 43940 45528 45799 46137 47320 47425 49322 50700 52032 52728 52845 54080 54200 54600 54925 56368 56784 56910 58240 59150 60704 61516 62400 64896 65040 65910 67200 67600 70304 70460 70980 72800 73983 75712 75880 76895 81120 81300 84552 86720 87360 87880 88075 88725 91056 91598 92274 94640 94850 98644 101400 104064 105456 105690 108160 108400 109200 109850 112736 113568 113820 118300 121408 123032 123305 124800 130080 131820 135200 137397 140608 140920 141960 142275 145600 147966 151424 151760 153790 162240 162600 164775 169104 173440 174720 175760 176150 177450 182112 183196 184548 189280 189700 197288 202800 210912 211380 216800 218400 219700 225472 227136 227640 228995 230685 236600 242816 246064 246610 260160 263640 264225 270400 274794 281216 281840 283920 284550 291200 295932 303520 307580 320593 324480 325200 329550 338208 351520 352300 354900 364224 366392 369096 369915 378560 379400 384475 394576 405600 421824 422760 433600 436800 439400 450944 454272 455280 457990 461370 473200 492128 493220 520320 527280 528450 540800 549588 563680 567840 569100 591864 595387 607040 615160 616525 641186 650400 659100 676416 686985 703040 704600 709800 728448 732784 738192 739830 757120 758800 768950 789152 811200 843648 845520 867200 873600 878800 910560 915980 922740 946400 961779 984256 986440 1054560 1056900 1099176 1127360 1135680 1138200 1144975 1153425 1183728 1190774 1214080 1230320 1233050 1282372 1300800 1318200 1352832 1373970 1406080 1409200 1419600 1465568 1476384 1479660 1517600 1537900 1578304 1602965 1622400 1691040 1757600 1786161 1821120 1831960 1845480 1849575 1892800 1923558 1968512 1972880 2109120 2113800 2198352 2254720 2271360 2276400 2289950 2306850 2367456 2381548 2460640 2466100 2564744 2601600 2636400 2747940 2818400 2839200 2931136 2952768 2959320 2976935 3035200 3075800 3156608 3205930 3382080 3434925 3515200 3572322 3642240 3663920 3690960 3699150 3785600 3847116 3945760 4167709 4218240 4227600 4396704 4552800 4579900 4613700 4734912 4763096 4808895 4921280 4932200 5129488 5272800 5495880 5636800 5678400 5862272 5905536 5918640 5953870 6070400 6151600 6411860 6764160 6869850 7030400 7144644 7327840 7381920 7398300 7694232 7891520 8014825 8335418 8455200 8793408 8930805 9105600 9159800 9227400 9469824 9526192 9617790 9842560 9864400 10258976 10545600 10991760 11273600 11356800 11837280 11907740 12303200 12503127 12823720 13739700 14289288 14655680 14763840 14796600 14884675 15388464 15783040 16029650 16670836 16910400 17586816 17861610 18211200 18319600 18454800 19052384 19235580 19728800 20517952 20838545 21091200 21983520 23674560 23815480 24044475 24606400 25006254 25647440 27479400 28578576 29311360 29527680 29593200 29769350 30776928 32059300 33341672 33820800 35723220 36639200 36909600 38104768 38471160 39457600 41035904 41677090 43967040 44654025 47349120 47630960 48088950 49212800 50012508 51294880 54958800 57157152 59186400 59538700 61553856 62515635 64118600 66683344 71446440 73278400 73819200 76209536 76942320 78915200 83354180 87934080 89308050 95261920 96177900 100025016 102589760 104192725 109917600 114314304 118372800 119077400 123107712 125031270 128237200 133366688 142892880 146556800 147638400 153884640 166708360 178616100 190523840 192355800 200050032 205179520 208385450 219835200 228628608 236745600 238154800 250062540 256474400 266733376 285785760 307769280 312578175 333416720 357232200 381047680 384711600 400100064 416770900 439670400 476309600 500125080 512948800 533466752 571571520 615538560 625156350 666833440 714464400 769423200 800200128 833541800 952619200 1000250160 1025897600 1143143040 1250312700 1333666880 1428928800 1538846400 1600400256 1667083600 1905238400 2000500320 2500625400 2667333760 2857857600 3077692800 3334167200 4001000640 5001250800 5715715200 6668334400 8002001280 10002501600 13336668800 20005003200 40010006400
• Sum of all divisors σ(n): 163756185600
• Sum of proper divisors (its aliquot sum) s(n): 123746179200
• 40010006400 is an abundant number, because the sum of its proper divisors (123746179200) is greater than itself. Its abundance is 83736172800

Bases of 40010006400

• Binary: 100101010000110010000011111110000000₂
• Hexadecimal: 0x950C83F80
• Base-36: IDOXAIO

Squares and roots of 40010006400

• 40010006400 squared (40010006400²) is 1600800612128040960000
• 40010006400 cubed (40010006400³) is 64048042736366836429062144000000
• The square root of 40010006400 is 200025.0144356951
• The cube root of 40010006400 is 3420.2370479651

Scales and comparisons

• 40,010,006,400 seconds is equal to 1,272 years, 10 weeks, 18 hours, 40 minutes.
• To count from 1 to 40,010,006,400 would take you about two thousand, five hundred forty-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 40010006400 cubic inches would be around 285 feet tall.

Recreational maths with 40010006400

• 40010006400 backwards is 00460001004
• 40010006400 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 40010006400's digits is 15
• More coming soon!