40388668416

Names of 40388668416

• Cardinal: 40388668416 can be written as Forty billion, three hundred eighty-eight million, six hundred sixty-eight thousand, four hundred sixteen.

Scientific notation

• Scientific notation: 4.0388668416 × 10¹⁰

Factors of 40388668416

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 227

Divisors of 40388668416

• Number of divisors d(n): 396
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 128 144 162 174 192 193 216 232 243 256 261 288 324 348 384 386 432 464 486 512 522 576 579 648 696 768 772 783 841 864 928 972 1024 1044 1152 1158 1296 1392 1536 1544 1566 1682 1728 1737 1856 1944 2088 2304 2316 2349 2523 2592 2784 3072 3088 3132 3364 3456 3474 3712 3888 4176 4608 4632 4698 5046 5184 5211 5568 5597 6176 6264 6728 6912 6948 7047 7424 7569 7776 8352 9216 9264 9396 10092 10368 10422 11136 11194 12352 12528 13456 13824 13896 14094 14848 15138 15552 15633 16704 16791 18528 18792 20184 20736 20844 22272 22388 22707 24704 25056 26912 27648 27792 28188 29696 30276 31104 31266 33408 33582 37056 37584 40368 41472 41688 44544 44776 45414 46899 49408 50112 50373 53824 55584 56376 60552 62208 62532 66816 67164 68121 74112 75168 80736 82944 83376 89088 89552 90828 93798 98816 100224 100746 107648 111168 112752 121104 124416 125064 133632 134328 136242 148224 150336 151119 161472 162313 166752 179104 181656 187596 197632 200448 201492 204363 215296 222336 225504 242208 248832 250128 267264 268656 272484 296448 300672 302238 322944 324626 333504 358208 363312 375192 400896 402984 408726 430592 444672 451008 453357 484416 486939 500256 537312 544968 592896 601344 604476 645888 649252 667008 716416 726624 750384 801792 805968 817452 861184 889344 902016 906714 968832 973878 1000512 1074624 1089936 1202688 1208952 1291776 1298504 1334016 1360071 1432832 1453248 1460817 1500768 1611936 1634904 1778688 1804032 1813428 1937664 1947756 2001024 2149248 2179872 2405376 2417904 2583552 2597008 2668032 2720142 2865664 2906496 2921634 3001536 3223872 3269808 3608064 3626856 3875328 3895512 4002048 4298496 4359744 4382451 4835808 5194016 5336064 5440284 5731328 5812992 5843268 6003072 6447744 6539616 7216128 7253712 7750656 7791024 8004096 8596992 8719488 8764902 9671616 10388032 10880568 11625984 11686536 12006144 12895488 13079232 13147353 14507424 15582048 16008192 17193984 17438976 17529804 19343232 20776064 21761136 23251968 23373072 24012288 25790976 26158464 26294706 29014848 31164096 34877952 35059608 38686464 39442059 41552128 43522272 46746144 48024576 51581952 52316928 52589412 58029696 62328192 69755904 70119216 77372928 78884118 83104256 87044544 93492288 104633856 105178824 116059392 124656384 140238432 154745856 157768236 166208512 174089088 186984576 209267712 210357648 232118784 249312768 280476864 315536472 348178176 373969152 420715296 464237568 498625536 560953728 631072944 696356352 747938304 841430592 1121907456 1262145888 1392712704 1495876608 1682861184 2243814912 2524291776 3365722368 4487629824 5048583552 6731444736 10097167104 13462889472 20194334208 40388668416
• Sum of all divisors σ(n): 125903879192
• Sum of proper divisors (its aliquot sum) s(n): 85515210776
• 40388668416 is an abundant number, because the sum of its proper divisors (85515210776) is greater than itself. Its abundance is 45126542360

Bases of 40388668416

• Binary: 100101100111010110100010110000000000₂
• Hexadecimal: 0x9675A2C00
• Base-36: IJYDC00

Squares and roots of 40388668416

• 40388668416 squared (40388668416²) is 1631244536417595949056
• 40388668416 cubed (40388668416³) is 65883794686781919294287612215296
• The square root of 40388668416 is 200969.3220767785
• The cube root of 40388668416 is 3430.9931028305

Scales and comparisons

• 40,388,668,416 seconds is equal to 1,284 years, 12 weeks, 1 day, 10 hours, 33 minutes, 36 seconds.
• To count from 1 to 40,388,668,416 would take you about two thousand, five hundred sixty-eight 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 40388668416 cubic inches would be around 285.9 feet tall.

Recreational maths with 40388668416

• 40388668416 backwards is 61486688304
• 40388668416 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 40388668416's digits is 54
• More coming soon!