830100480
830,100,480 is an even composite number composed of five prime numbers multiplied together.
830100480 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred fifty-two divisors.
Prime factorization of 830100480:
210 × 3 × 5 × 11 × 173
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 17 × 17 × 17)See below for interesting mathematical facts about the number 830100480 from the Numbermatics database.
Names of 830100480
- Cardinal: 830100480 can be written as Eight hundred thirty million, one hundred thousand, four hundred eighty.
Scientific notation
- Scientific notation: 8.3010048 × 108
Factors of 830100480
Divisors of 830100480
- Number of divisors d(n): 352
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 30 32 33 34 40 44 48 51 55 60 64 66 68 80 85 88 96 102 110 120 128 132 136 160 165 170 176 187 192 204 220 240 255 256 264 272 289 320 330 340 352 374 384 408 440 480 510 512 528 544 561 578 640 660 680 704 748 768 816 867 880 935 960 1020 1024 1056 1088 1122 1156 1280 1320 1360 1408 1445 1496 1536 1632 1734 1760 1870 1920 2040 2112 2176 2244 2312 2560 2640 2720 2805 2816 2890 2992 3072 3179 3264 3468 3520 3740 3840 4080 4224 4335 4352 4488 4624 4913 5120 5280 5440 5610 5632 5780 5984 6358 6528 6936 7040 7480 7680 8160 8448 8670 8704 8976 9248 9537 9826 10560 10880 11220 11264 11560 11968 12716 13056 13872 14080 14739 14960 15360 15895 16320 16896 17340 17408 17952 18496 19074 19652 21120 21760 22440 23120 23936 24565 25432 26112 27744 28160 29478 29920 31790 32640 33792 34680 35904 36992 38148 39304 42240 43520 44880 46240 47685 47872 49130 50864 52224 54043 55488 56320 58956 59840 63580 65280 69360 71808 73695 73984 76296 78608 84480 87040 89760 92480 95370 95744 98260 101728 108086 110976 117912 119680 127160 130560 138720 143616 147390 147968 152592 157216 162129 168960 179520 184960 190740 191488 196520 203456 216172 221952 235824 239360 254320 261120 270215 277440 287232 294780 295936 305184 314432 324258 359040 369920 381480 393040 406912 432344 443904 471648 478720 508640 540430 554880 574464 589560 610368 628864 648516 718080 739840 762960 786080 810645 813824 864688 887808 943296 957440 1017280 1080860 1109760 1179120 1220736 1257728 1297032 1436160 1479680 1525920 1572160 1621290 1627648 1729376 1886592 2034560 2161720 2219520 2358240 2441472 2515456 2594064 2872320 3051840 3144320 3242580 3255296 3458752 3773184 4069120 4323440 4439040 4716480 4882944 5030912 5188128 6103680 6288640 6485160 6917504 7546368 8138240 8646880 9432960 9765888 10376256 12207360 12577280 12970320 13835008 15092736 16276480 17293760 18865920 20752512 24414720 25154560 25940640 27670016 34587520 37731840 41505024 48829440 51881280 55340032 69175040 75463680 83010048 103762560 138350080 166020096 207525120 276700160 415050240 830100480
- Sum of all divisors σ(n): 3077377920
- Sum of proper divisors (its aliquot sum) s(n): 2247277440
- 830100480 is an abundant number, because the sum of its proper divisors (2247277440) is greater than itself. Its abundance is 1417176960
Bases of 830100480
- Binary: 1100010111101001010100000000002
- Hexadecimal: 0x317A5400
- Base-36: DQ7XMO
Squares and roots of 830100480
- 830100480 squared (8301004802) is 689066806896230400
- 830100480 cubed (8301004803) is 571994687156628165230592000
-
The
square root of 830100480 is 28811.4643848591 -
The
cube root of 830100480 is 939.8175592815
Scales and comparisons
How big is 830100480?- 830,100,480 seconds is equal to 26 years, 20 weeks, 3 days, 15 hours, 28 minutes.
-
To count from 1 to 830,100,480 would take you about thirty-nine 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 830100480 cubic inches would be around 78.3 feet tall.
Recreational maths with 830100480
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