900990090
900,990,090 is an even composite number composed of eight prime numbers multiplied together.
What does the number 900990090 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 384 divisors.
900990090 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 900990090:
2 × 32 × 5 × 7 × 11 × 13 × 73 × 137
(2 × 3 × 3 × 5 × 7 × 11 × 13 × 73 × 137)See below for interesting mathematical facts about the number 900990090 from the Numbermatics database.
Names of 900990090
- Cardinal: 900990090 can be written as Nine hundred million, nine hundred ninety thousand and ninety.
Scientific notation
- Scientific notation: 9.0099009 × 108
Factors of 900990090
Divisors of 900990090
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 5 6 7 9 10 11 13 14 15 18 21 22 26 30 33 35 39 42 45 55 63 65 66 70 73 77 78 90 91 99 105 110 117 126 130 137 143 146 154 165 182 195 198 210 219 231 234 273 274 286 315 330 365 385 390 411 429 438 455 462 495 511 546 585 630 657 685 693 715 730 770 803 819 822 858 910 949 959 990 1001 1022 1095 1155 1170 1233 1287 1314 1365 1370 1386 1430 1507 1533 1606 1638 1781 1898 1918 2002 2055 2145 2190 2310 2409 2466 2555 2574 2730 2847 2877 3003 3014 3066 3285 3465 3562 4015 4095 4110 4290 4521 4599 4745 4795 4818 5005 5110 5343 5621 5694 5754 6006 6165 6435 6570 6643 6930 7227 7535 7665 8030 8190 8541 8631 8905 9009 9042 9198 9490 9590 10001 10010 10439 10549 10686 11242 12045 12330 12467 12870 13286 13563 14235 14385 14454 15015 15070 15330 16029 16863 17082 17262 17810 18018 19591 19929 20002 20878 21098 22605 22995 24090 24934 26715 27126 28105 28470 28770 30003 30030 31317 31647 32058 33215 33726 36135 37401 39182 39858 42705 43155 45045 45210 45990 50005 50589 52195 52745 53430 56210 58773 59787 60006 62335 62634 63294 66430 67815 70007 72270 73073 74802 80145 84315 85410 86310 90009 90090 93951 94941 97955 99645 100010 101178 104390 105490 110011 112203 117546 119574 124670 130013 135630 137137 140014 146146 150015 156585 158235 160290 168630 176319 180018 187005 187902 189882 195910 199290 210021 219219 220022 224406 252945 260026 274274 293865 298935 300030 313170 316470 330033 350035 352638 365365 374010 390039 411411 420042 438438 450045 469755 474705 505890 550055 561015 587730 597870 630063 650065 657657 660066 685685 700070 730730 770077 780078 822822 881595 900090 910091 939510 949410 990099 1050105 1096095 1100110 1122030 1170117 1234233 1260126 1300130 1315314 1371370 1430143 1540154 1650165 1763190 1820182 1950195 1980198 2057055 2100210 2192190 2310231 2340234 2468466 2730273 2860286 3150315 3288285 3300330 3850385 3900390 4114110 4290429 4550455 4620462 4950495 5460546 5850585 6171165 6300630 6576570 6930693 7150715 7700770 8190819 8580858 9100910 9900990 10011001 11551155 11701170 12342330 12871287 13651365 13861386 14301430 16381638 20022002 21452145 23102310 25742574 27302730 30033003 34653465 40954095 42904290 50055005 60066006 64356435 69306930 81908190 90099009 100110010 128712870 150165015 180198018 300330030 450495045 900990090
- Sum of all divisors σ(n): 3211633152
- Sum of proper divisors (its aliquot sum) s(n): 2310643062
- 900990090 is an abundant number, because the sum of its proper divisors (2310643062) is greater than itself. Its abundance is 1409652972
Bases of 900990090
- Binary: 1101011011010000000100100010102
- Hexadecimal: 0x35B4048A
- Base-36: EWFCEI
Squares and roots of 900990090
- 900990090 squared (9009900902) is 811783142278208100
- 900990090 cubed (9009900903) is 731408566421725521057729000
-
The
square root of 900990090 is 30016.4969641695 -
The
cube root of 900990090 is 965.8432998139
Scales and comparisons
How big is 900990090?- 900,990,090 seconds is equal to 28 years, 33 weeks, 5 days, 3 hours, 1 minute, 30 seconds.
-
To count from 1 to 900,990,090 would take you about forty-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 900990090 cubic inches would be around 80.5 feet tall.
Recreational maths with 900990090
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