34284912768
34,284,912,768 is an even composite number composed of four prime numbers multiplied together.
34284912768 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 34284912768:
27 × 35 × 313 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 31 × 31 × 31 × 37)See below for interesting mathematical facts about the number 34284912768 from the Numbermatics database.
Names of 34284912768
- Cardinal: 34284912768 can be written as Thirty-four billion, two hundred eighty-four million, nine hundred twelve thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 3.4284912768 × 1010
Factors of 34284912768
Divisors of 34284912768
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 37 48 54 62 64 72 74 81 93 96 108 111 124 128 144 148 162 186 192 216 222 243 248 279 288 296 324 333 372 384 432 444 486 496 558 576 592 648 666 744 837 864 888 961 972 992 999 1116 1147 1152 1184 1296 1332 1488 1674 1728 1776 1922 1944 1984 1998 2232 2294 2368 2511 2592 2664 2883 2976 2997 3348 3441 3456 3552 3844 3888 3968 3996 4464 4588 4736 5022 5184 5328 5766 5952 5994 6696 6882 7104 7533 7688 7776 7992 8649 8928 8991 9176 10044 10323 10368 10656 11532 11904 11988 13392 13764 14208 15066 15376 15552 15984 17298 17856 17982 18352 20088 20646 21312 23064 23976 25947 26784 27528 29791 30132 30752 30969 31104 31968 34596 35557 35712 35964 36704 40176 41292 42624 46128 47952 51894 53568 55056 59582 60264 61504 61938 63936 69192 71114 71928 73408 77841 80352 82584 89373 92256 92907 95904 103788 106671 107136 110112 119164 120528 123008 123876 127872 138384 142228 143856 146816 155682 160704 165168 178746 184512 185814 191808 207576 213342 220224 233523 238328 241056 247752 268119 276768 278721 284456 287712 311364 320013 321408 330336 357492 369024 371628 383616 415152 426684 440448 467046 476656 482112 495504 536238 553536 557442 568912 575424 622728 640026 660672 714984 743256 804357 830304 853368 934092 953312 960039 964224 991008 1072476 1102267 1107072 1114884 1137824 1150848 1245456 1280052 1321344 1429968 1486512 1608714 1660608 1706736 1868184 1906624 1920078 1982016 2144952 2204534 2229768 2275648 2413071 2490912 2560104 2859936 2880117 2973024 3217428 3306801 3321216 3413472 3736368 3813248 3840156 3964032 4289904 4409068 4459536 4551296 4826142 4981824 5120208 5719872 5760234 5946048 6434856 6613602 6826944 7239213 7472736 7680312 8579808 8640351 8818136 8919072 9652284 9920403 9963648 10240416 11439744 11520468 11892096 12869712 13227204 13653888 14478426 14945472 15360624 17159616 17280702 17636272 17838144 19304568 19840806 20480832 23040936 25739424 26454408 28956852 29761209 29890944 30721248 34319232 34561404 35272544 35676288 38609136 39681612 40961664 46081872 51478848 52908816 57913704 59522418 61442496 69122808 70545088 77218272 79363224 89283627 92163744 102957696 105817632 115827408 119044836 122884992 138245616 141090176 154436544 158726448 178567254 184327488 211635264 231654816 238089672 267850881 276491232 308873088 317452896 357134508 368654976 423270528 463309632 476179344 535701762 552982464 634905792 714269016 926619264 952358688 1071403524 1105964928 1269811584 1428538032 1904717376 2142807048 2857076064 3809434752 4285614096 5714152128 8571228192 11428304256 17142456384 34284912768
- Sum of all divisors σ(n): 108580093440
- Sum of proper divisors (its aliquot sum) s(n): 74295180672
- 34284912768 is an abundant number, because the sum of its proper divisors (74295180672) is greater than itself. Its abundance is 40010267904
Bases of 34284912768
- Binary: 111111110111000101001000000100000002
- Hexadecimal: 0x7FB8A4080
- Base-36: FR0CO00
Squares and roots of 34284912768
- 34284912768 squared (342849127682) is 1175455243509369421824
- 34284912768 cubed (342849127683) is 40300380486406928817922435448832
-
The
square root of 34284912768 is 185161.8555966645 -
The
cube root of 34284912768 is 3248.6357277621
Scales and comparisons
How big is 34284912768?- 34,284,912,768 seconds is equal to 1,090 years, 8 weeks, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 34,284,912,768 would take you about two thousand, one hundred eighty 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 34284912768 cubic inches would be around 270.7 feet tall.
Recreational maths with 34284912768
- 34284912768 backwards is 86721948243
- 34284912768 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 34284912768's digits is 54
- More coming soon!
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