980470400
980,470,400 is an even composite number composed of five prime numbers multiplied together.
980470400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 980470400:
27 × 52 × 72 × 132 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 13 × 13 × 37)See below for interesting mathematical facts about the number 980470400 from the Numbermatics database.
Names of 980470400
- Cardinal: 980470400 can be written as Nine hundred eighty million, four hundred seventy thousand, four hundred.
Scientific notation
- Scientific notation: 9.804704 × 108
Factors of 980470400
Divisors of 980470400
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 37 40 49 50 52 56 64 65 70 74 80 91 98 100 104 112 128 130 140 148 160 169 175 182 185 196 200 208 224 245 259 260 280 296 320 325 338 350 364 370 392 400 416 448 455 481 490 518 520 560 592 637 640 650 676 700 728 740 784 800 832 845 896 910 925 962 980 1036 1040 1120 1183 1184 1225 1274 1295 1300 1352 1400 1456 1480 1568 1600 1664 1690 1813 1820 1850 1924 1960 2072 2080 2240 2275 2366 2368 2405 2450 2548 2590 2600 2704 2800 2912 2960 3136 3185 3200 3367 3380 3626 3640 3700 3848 3920 4144 4160 4225 4480 4550 4732 4736 4810 4900 5096 5180 5200 5408 5600 5824 5915 5920 6253 6272 6370 6475 6734 6760 7252 7280 7400 7696 7840 8281 8288 8320 8450 9065 9100 9464 9620 9800 10192 10360 10400 10816 11200 11648 11830 11840 12025 12506 12740 12950 13468 13520 14504 14560 14800 15392 15680 15925 16562 16576 16835 16900 18130 18200 18928 19240 19600 20384 20720 20800 21632 22400 23569 23660 23680 24050 25012 25480 25900 26936 27040 29008 29120 29575 29600 30784 31265 31360 31850 33124 33152 33670 33800 36260 36400 37856 38480 39200 40768 41405 41440 41600 43771 45325 47138 47320 48100 50024 50960 51800 53872 54080 58016 58240 59150 59200 61568 62530 63700 66248 67340 67600 72520 72800 75712 76960 78400 81536 82810 82880 84175 87542 90650 94276 94640 96200 100048 101920 103600 107744 108160 116032 117845 118300 118400 125060 127400 132496 134680 135200 145040 145600 151424 153920 156325 156800 165620 165760 168350 175084 181300 188552 189280 192400 200096 203840 207025 207200 215488 218855 232064 235690 236600 250120 254800 264992 269360 270400 290080 291200 306397 307840 312650 331240 336700 350168 362600 377104 378560 384800 400192 407680 414050 414400 430976 437710 471380 473200 500240 509600 529984 538720 540800 580160 589225 612794 625300 662480 673400 700336 725200 754208 757120 769600 800384 828100 828800 875420 942760 946400 1000480 1019200 1059968 1077440 1094275 1160320 1178450 1225588 1250600 1324960 1346800 1400672 1450400 1508416 1531985 1539200 1656200 1750840 1885520 1892800 2000960 2038400 2154880 2188550 2356900 2451176 2501200 2649920 2693600 2801344 2900800 3016832 3063970 3312400 3501680 3771040 3785600 4001920 4377100 4713800 4902352 5002400 5299840 5387200 5602688 5801600 6127940 6624800 7003360 7542080 7659925 8754200 9427600 9804704 10004800 10774400 12255880 13249600 14006720 15084160 15319850 17508400 18855200 19609408 20009600 24511760 26499200 28013440 30639700 35016800 37710400 39218816 49023520 61279400 70033600 75420800 98047040 122558800 140067200 196094080 245117600 490235200 980470400
- Sum of all divisors σ(n): 3133368090
- Sum of proper divisors (its aliquot sum) s(n): 2152897690
- 980470400 is an abundant number, because the sum of its proper divisors (2152897690) is greater than itself. Its abundance is 1172427290
Bases of 980470400
- Binary: 1110100111000011001010100000002
- Hexadecimal: 0x3A70CA80
- Base-36: G7QVSW
Squares and roots of 980470400
- 980470400 squared (9804704002) is 961322205276160000
- 980470400 cubed (9804704003) is 942547967135998705664000000
-
The
square root of 980470400 is 31312.4639720351 -
The
cube root of 980470400 is 993.4472890999
Scales and comparisons
How big is 980470400?- 980,470,400 seconds is equal to 31 years, 9 weeks, 1 day, 53 minutes, 20 seconds.
-
To count from 1 to 980,470,400 would take you about forty-six 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 980470400 cubic inches would be around 82.8 feet tall.
Recreational maths with 980470400
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