40014016416

Names of 40014016416

• Cardinal: 40014016416 can be written as Forty billion, fourteen million, sixteen thousand, four hundred sixteen.

Scientific notation

• Scientific notation: 4.0014016416 × 10¹⁰

Factors of 40014016416

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 3227

Divisors of 40014016416

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 32 33 36 38 44 48 54 57 66 71 72 76 88 96 99 108 114 132 142 144 152 171 176 198 209 213 216 228 264 284 288 297 304 342 352 396 418 426 432 456 513 528 568 594 608 627 639 684 781 792 836 852 864 912 1026 1056 1136 1188 1254 1278 1349 1368 1562 1584 1672 1704 1824 1881 1917 2052 2272 2343 2376 2508 2556 2698 2736 3121 3124 3168 3344 3408 3762 3834 4047 4104 4686 4752 5016 5112 5396 5472 5643 6242 6248 6688 6816 7029 7524 7668 8094 8208 9363 9372 9504 10032 10224 10792 11286 12141 12484 12496 14058 14839 15048 15336 16188 16416 18726 18744 20064 20448 21087 21584 22572 24282 24968 24992 28089 28116 29678 30096 30672 32376 34331 36423 37452 37488 42174 43168 44517 45144 48564 49936 56178 56232 59299 59356 60192 61344 64752 68662 72846 74904 74976 84267 84348 89034 90288 97128 99872 102993 112356 112464 118598 118712 129504 133551 137324 145692 149808 168534 168696 177897 178068 180576 194256 205986 221591 224712 224928 237196 237424 267102 274648 291384 299616 308979 337068 337392 355794 356136 388512 400653 411972 443182 449424 474392 474848 533691 534204 549296 582768 617958 652289 664773 674136 674784 711588 712272 801306 823944 886364 898848 926937 948784 1067382 1068408 1098592 1165536 1235916 1304578 1329546 1348272 1423176 1424544 1601073 1602612 1647888 1772728 1853874 1897568 1956867 1994319 2134764 2136816 2437501 2471832 2609156 2659092 2696544 2846352 3202146 3205224 3295776 3545456 3707748 3913734 3988638 4210229 4269528 4273632 4875002 4943664 5218312 5318184 5692704 5870601 5982957 6404292 6410448 7090912 7312503 7415496 7827468 7977276 8420458 8539056 9750004 9887328 10436624 10636368 11741202 11965914 12630687 12808584 12820896 14625006 14830992 15654936 15954552 16840916 17078112 17611803 19500008 20873248 21272736 21937509 23482404 23931828 25261374 25617168 29250012 29661984 31309872 31909104 33681832 35223606 37892061 39000016 43875018 46312519 46964808 47863656 50522748 51234336 58500024 62619744 63818208 65812527 67363664 70447212 75784122 78000032 87750036 92625038 93929616 95727312 101045496 113676183 117000048 131625054 134727328 138937557 140894424 151568244 175500072 185250076 187859232 191454624 202090992 227352366 234000096 263250108 277875114 281788848 303136488 351000144 370500152 404181984 416812671 454704732 526500216 555750228 563577696 606272976 702000288 741000304 833625342 909409464 1053000432 1111500456 1212545952 1250438013 1482000608 1667250684 1818818928 2106000864 2223000912 2500876026 3334501368 3637637856 4446001824 5001752052 6669002736 10003504104 13338005472 20007008208 40014016416
• Sum of all divisors σ(n): 135949363200
• Sum of proper divisors (its aliquot sum) s(n): 95935346784
• 40014016416 is an abundant number, because the sum of its proper divisors (95935346784) is greater than itself. Its abundance is 55921330368

Bases of 40014016416

• Binary: 100101010001000001010110111110100000₂
• Hexadecimal: 0x951056FA0
• Base-36: IDRB8O0

Squares and roots of 40014016416

• 40014016416 squared (40014016416²) is 1601121509739917485056
• 40014016416 cubed (40014016416³) is 64067302374743762137516218679296
• The square root of 40014016416 is 200035.0379708515
• The cube root of 40014016416 is 3420.3513089409

Scales and comparisons

• 40,014,016,416 seconds is equal to 1,272 years, 16 weeks, 5 days, 4 hours, 33 minutes, 36 seconds.
• To count from 1 to 40,014,016,416 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 40014016416 cubic inches would be around 285 feet tall.

Recreational maths with 40014016416

• 40014016416 backwards is 61461041004
• 40014016416 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 40014016416's digits is 27
• More coming soon!