997045920
997,045,920 is an even composite number composed of six prime numbers multiplied together.
997045920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 997045920:
25 × 32 × 5 × 132 × 17 × 241
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 13 × 17 × 241)See below for interesting mathematical facts about the number 997045920 from the Numbermatics database.
Names of 997045920
- Cardinal: 997045920 can be written as Nine hundred ninety-seven million, forty-five thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 9.9704592 × 108
Factors of 997045920
Divisors of 997045920
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 26 30 32 34 36 39 40 45 48 51 52 60 65 68 72 78 80 85 90 96 102 104 117 120 130 136 144 153 156 160 169 170 180 195 204 208 221 234 240 241 255 260 272 288 306 312 338 340 360 390 408 416 442 468 480 482 507 510 520 544 585 612 624 663 676 680 720 723 765 780 816 845 884 936 964 1014 1020 1040 1105 1170 1205 1224 1248 1326 1352 1360 1440 1446 1521 1530 1560 1632 1690 1768 1872 1928 1989 2028 2040 2080 2169 2210 2340 2410 2448 2535 2652 2704 2720 2873 2892 3042 3060 3120 3133 3315 3380 3536 3615 3744 3856 3978 4056 4080 4097 4338 4420 4680 4820 4896 5070 5304 5408 5746 5784 6084 6120 6240 6266 6630 6760 7072 7230 7605 7712 7956 8112 8160 8194 8619 8676 8840 9360 9399 9640 9945 10140 10608 10845 11492 11568 12168 12240 12291 12532 13260 13520 14365 14460 15210 15665 15912 16224 16388 17238 17352 17680 18720 18798 19280 19890 20280 20485 21216 21690 22984 23136 24336 24480 24582 25064 25857 26520 27040 28197 28730 28920 30420 31330 31824 32776 34476 34704 35360 36873 37596 38560 39780 40560 40729 40970 43095 43380 45968 46995 48672 49164 50128 51714 53040 53261 56394 57460 57840 60840 61455 62660 63648 65552 68952 69408 73746 75192 79560 81120 81458 81940 86190 86760 91936 93990 98328 100256 103428 106080 106522 112788 114920 115680 121680 122187 122910 125320 129285 131104 137904 140985 147492 150384 159120 159783 162916 163880 172380 173520 184365 187980 196656 203645 206856 213044 225576 229840 243360 244374 245820 250640 258570 266305 275808 281970 294984 300768 318240 319566 325832 327760 344760 347040 366561 368730 375960 393312 407290 413712 426088 451152 459680 479349 488748 491640 501280 517140 532610 563940 589968 610935 639132 651664 655520 689520 692393 733122 737460 751920 798915 814580 827424 852176 902304 958698 977496 983280 1034280 1065220 1127880 1179936 1221870 1278264 1303328 1379040 1384786 1466244 1474920 1503840 1597830 1629160 1704352 1832805 1917396 1954992 1966560 2068560 2077179 2130440 2255760 2396745 2443740 2556528 2769572 2932488 2949840 3195660 3258320 3461965 3665610 3834792 3909984 4137120 4154358 4260880 4511520 4793490 4887480 5113056 5539144 5864976 5899680 6231537 6391320 6516640 6923930 7331220 7669584 8308716 8521760 9586980 9774960 10385895 11078288 11729952 12463074 12782640 13847860 14662440 15339168 16617432 19173960 19549920 20771790 22156576 24926148 25565280 27695720 29324880 31157685 33234864 38347920 41543580 49852296 55391440 58649760 62315370 66469728 76695840 83087160 99704592 110782880 124630740 166174320 199409184 249261480 332348640 498522960 997045920
- Sum of all divisors σ(n): 3917185272
- Sum of proper divisors (its aliquot sum) s(n): 2920139352
- 997045920 is an abundant number, because the sum of its proper divisors (2920139352) is greater than itself. Its abundance is 1923093432
Bases of 997045920
- Binary: 1110110110110110110110101000002
- Hexadecimal: 0x3B6DB6A0
- Base-36: GHM5K0
Squares and roots of 997045920
- 997045920 squared (9970459202) is 994100566588646400
- 997045920 cubed (9970459203) is 991163913986898211442688000
-
The
square root of 997045920 is 31576.0339498171 -
The
cube root of 997045920 is 999.0143354511
Scales and comparisons
How big is 997045920?- 997,045,920 seconds is equal to 31 years, 36 weeks, 3 days, 21 hours, 12 minutes.
-
To count from 1 to 997,045,920 would take you about forty-seven 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 997045920 cubic inches would be around 83.3 feet tall.
Recreational maths with 997045920
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