468330048
468,330,048 is an even composite number composed of five prime numbers multiplied together.
468330048 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-two divisors.
Prime factorization of 468330048:
26 × 32 × 232 × 29 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 23 × 23 × 29 × 53)See below for interesting mathematical facts about the number 468330048 from the Numbermatics database.
Names of 468330048
- Cardinal: 468330048 can be written as Four hundred sixty-eight million, three hundred thirty thousand and forty-eight.
Scientific notation
- Scientific notation: 4.68330048 × 108
Factors of 468330048
Divisors of 468330048
- Number of divisors d(n): 252
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 29 32 36 46 48 53 58 64 69 72 87 92 96 106 116 138 144 159 174 184 192 207 212 232 261 276 288 318 348 368 414 424 464 477 522 529 552 576 636 667 696 736 828 848 928 954 1044 1058 1104 1219 1272 1334 1392 1472 1537 1587 1656 1696 1856 1908 2001 2088 2116 2208 2438 2544 2668 2784 3074 3174 3312 3392 3657 3816 4002 4176 4232 4416 4611 4761 4876 5088 5336 5568 6003 6148 6348 6624 7314 7632 8004 8352 8464 9222 9522 9752 10176 10672 10971 12006 12296 12696 13248 13833 14628 15264 15341 16008 16704 16928 18444 19044 19504 21344 21942 24012 24592 25392 27666 28037 29256 30528 30682 32016 33856 35351 36888 38088 39008 42688 43884 46023 48024 49184 50784 55332 56074 58512 61364 64032 70702 73776 76176 78016 84111 87768 92046 96048 98368 101568 106053 110664 112148 117024 122728 128064 138069 141404 147552 152352 168222 175536 184092 192096 212106 221328 224296 234048 245456 252333 276138 282808 295104 304704 318159 336444 351072 368184 384192 424212 442656 448592 490912 504666 552276 565616 636318 672888 702144 736368 813073 848424 885312 897184 981824 1009332 1104552 1131232 1272636 1345776 1472736 1626146 1696848 1794368 2018664 2209104 2262464 2439219 2545272 2691552 2945472 3252292 3393696 4037328 4418208 4878438 5090544 5383104 6504584 6787392 7317657 8074656 8836416 9756876 10181088 13009168 14635314 16149312 19513752 20362176 26018336 29270628 39027504 52036672 58541256 78055008 117082512 156110016 234165024 468330048
- Sum of all divisors σ(n): 1479064860
- Sum of proper divisors (its aliquot sum) s(n): 1010734812
- 468330048 is an abundant number, because the sum of its proper divisors (1010734812) is greater than itself. Its abundance is 542404764
Bases of 468330048
- Binary: 110111110101000100110010000002
- Hexadecimal: 0x1BEA2640
- Base-36: 7QTXS0
Squares and roots of 468330048
- 468330048 squared (4683300482) is 219333033859682304
- 468330048 cubed (4683300483) is 102720250275490638697070592
-
The
square root of 468330048 is 21640.9345454395 -
The
cube root of 468330048 is 776.5760769985
Scales and comparisons
How big is 468330048?- 468,330,048 seconds is equal to 14 years, 46 weeks, 2 days, 11 hours, 40 minutes, 48 seconds.
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To count from 1 to 468,330,048 would take you about twenty-two 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 468330048 cubic inches would be around 64.7 feet tall.
Recreational maths with 468330048
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