328972140800
328,972,140,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 328972140800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 432 divisors.
328972140800 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 328972140800:
28 × 52 × 17 × 19 × 233 × 683
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 19 × 233 × 683)See below for interesting mathematical facts about the number 328972140800 from the Numbermatics database.
Names of 328972140800
- Cardinal: 328972140800 can be written as Three hundred twenty-eight billion, nine hundred seventy-two million, one hundred forty thousand, eight hundred.
Scientific notation
- Scientific notation: 3.289721408 × 1011
Factors of 328972140800
Divisors of 328972140800
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 4 5 8 10 16 17 19 20 25 32 34 38 40 50 64 68 76 80 85 95 100 128 136 152 160 170 190 200 233 256 272 304 320 323 340 380 400 425 466 475 544 608 640 646 680 683 760 800 850 932 950 1088 1165 1216 1280 1292 1360 1366 1520 1600 1615 1700 1864 1900 2176 2330 2432 2584 2720 2732 3040 3200 3230 3400 3415 3728 3800 3961 4352 4427 4660 4864 5168 5440 5464 5825 6080 6400 6460 6800 6830 7456 7600 7922 8075 8854 9320 10336 10880 10928 11611 11650 12160 12920 12977 13600 13660 14912 15200 15844 16150 17075 17708 18640 19805 20672 21760 21856 22135 23222 23300 24320 25840 25954 27200 27320 29824 30400 31688 32300 34150 35416 37280 39610 41344 43712 44270 46444 46600 51680 51908 54400 54640 58055 59648 60800 63376 64600 64885 68300 70832 74560 75259 79220 82688 87424 88540 92888 93200 99025 103360 103816 108800 109280 110675 116110 121600 126752 129200 129770 136600 141664 149120 150518 158440 159139 174848 177080 185776 186400 198050 206720 207632 218560 220609 221350 232220 253504 258400 259540 273200 283328 290275 298240 301036 316880 318278 324425 354160 371552 372800 376295 396100 413440 415264 437120 441218 442700 464440 507008 516800 519080 546400 566656 580550 602072 633760 636556 648850 708320 743104 745600 752590 792200 795695 830528 874240 882436 885400 928880 1014016 1033600 1038160 1092800 1103045 1133312 1161100 1204144 1267520 1273112 1297700 1416640 1486208 1491200 1505180 1584400 1591390 1661056 1764872 1770800 1857760 1881475 2067200 2076320 2185600 2206090 2322200 2408288 2535040 2546224 2595400 2705363 2833280 2972416 3010360 3023641 3168800 3182780 3322112 3529744 3541600 3715520 3762950 3978475 4152640 4371200 4412180 4644400 4816576 5070080 5092448 5190800 5410726 5515225 5666560 6020720 6047282 6337600 6365560 7059488 7083200 7431040 7525900 7956950 8305280 8824360 9288800 9633152 10184896 10381600 10821452 11030450 12041440 12094564 12675200 12731120 13526815 14118976 14166400 14862080 15051800 15118205 15913900 16610560 17648720 18577600 19266304 20369792 20763200 21642904 22060900 24082880 24189128 25350400 25462240 27053630 28237952 28332800 30103600 30236410 31827800 35297440 37155200 40739584 41526400 43285808 44121800 48165760 48378256 50924480 51401897 54107260 56475904 60207200 60472820 63655600 67634075 70594880 74310400 75591025 83052800 86571616 88243600 96331520 96756512 101848960 102803794 108214520 120414400 120945640 127311200 135268150 141189760 151182050 173143232 176487200 193513024 203697920 205607588 216429040 240828800 241891280 254622400 257009485 270536300 282379520 302364100 346286464 352974400 387026048 411215176 432858080 481657600 483782560 509244800 514018970 541072600 604728200 692572928 705948800 774052096 822430352 865716160 967565120 1018489600 1028037940 1082145200 1209456400 1285047425 1411897600 1644860704 1731432320 1935130240 2056075880 2164290400 2418912800 2570094850 3289721408 3462864640 3870260480 4112151760 4328580800 4837825600 5140189700 6579442816 8224303520 8657161600 9675651200 10280379400 13158885632 16448607040 17314323200 19351302400 20560758800 32897214080 41121517600 65794428160 82243035200 164486070400 328972140800
- Sum of all divisors σ(n): 912760954560
- Sum of proper divisors (its aliquot sum) s(n): 583788813760
- 328972140800 is an abundant number, because the sum of its proper divisors (583788813760) is greater than itself. Its abundance is 254816672960
Bases of 328972140800
- Binary: 1001100100110000100010010000001000000002
- Hexadecimal: 0x4C98448100
- Base-36: 474LIOE8
Squares and roots of 328972140800
- 328972140800 squared (3289721408002) is 108222669422535024640000
- 328972140800 cubed (3289721408003) is 35602243243022046818801549312000000
-
The
square root of 328972140800 is 573560.9303291151 -
The
cube root of 328972140800 is 6903.2410790511
Scales and comparisons
How big is 328972140800?- 328,972,140,800 seconds is equal to 10,460 years, 15 weeks, 2 days, 22 hours, 13 minutes, 20 seconds.
-
To count from 1 to 328,972,140,800 would take you about twenty thousand, nine hundred twenty 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 328972140800 cubic inches would be around 575.3 feet tall.
Recreational maths with 328972140800
- 328972140800 backwards is 008041279823
- The number of decimal digits it has is: 12
- The sum of 328972140800's digits is 44
- More coming soon!
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