40398128640
40,398,128,640 is an even composite number composed of six prime numbers multiplied together.
40398128640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 40398128640:
29 × 32 × 5 × 31 × 163 × 347
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 31 × 163 × 347)See below for interesting mathematical facts about the number 40398128640 from the Numbermatics database.
Names of 40398128640
- Cardinal: 40398128640 can be written as Forty billion, three hundred ninety-eight million, one hundred twenty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.039812864 × 1010
Factors of 40398128640
Divisors of 40398128640
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 64 72 80 90 93 96 120 124 128 144 155 160 163 180 186 192 240 248 256 279 288 310 320 326 347 360 372 384 465 480 489 496 512 558 576 620 640 652 694 720 744 768 815 930 960 978 992 1041 1116 1152 1240 1280 1304 1388 1395 1440 1467 1488 1536 1630 1735 1860 1920 1956 1984 2082 2232 2304 2445 2480 2560 2608 2776 2790 2880 2934 2976 3123 3260 3470 3720 3840 3912 3968 4164 4464 4608 4890 4960 5053 5205 5216 5552 5580 5760 5868 5952 6246 6520 6940 7335 7440 7680 7824 7936 8328 8928 9780 9920 10106 10410 10432 10757 11104 11160 11520 11736 11904 12492 13040 13880 14670 14880 15159 15615 15648 15872 16656 17856 19560 19840 20212 20820 20864 21514 22208 22320 23040 23472 23808 24984 25265 26080 27760 29340 29760 30318 31230 31296 32271 33312 35712 39120 39680 40424 41640 41728 43028 44416 44640 45477 46944 47616 49968 50530 52160 53785 55520 56561 58680 59520 60636 62460 62592 64542 66624 71424 75795 78240 79360 80848 83280 83456 86056 88832 89280 90954 93888 96813 99936 101060 104320 107570 111040 113122 117360 119040 121272 124920 125184 129084 133248 142848 151590 156480 161355 161696 166560 169683 172112 177664 178560 181908 187776 193626 199872 202120 208640 215140 222080 226244 227385 234720 238080 242544 249840 250368 258168 266496 282805 303180 312960 322710 323392 333120 339366 344224 357120 363816 375552 387252 399744 404240 417280 430280 444160 452488 454770 469440 484065 485088 499680 509049 516336 532992 565610 606360 625920 645420 646784 666240 678732 688448 714240 727632 751104 774504 799488 808480 848415 860560 888320 904976 909540 938880 968130 970176 999360 1018098 1032672 1131220 1212720 1251840 1290840 1293568 1332480 1357464 1376896 1455264 1549008 1598976 1616960 1696830 1721120 1753391 1809952 1819080 1877760 1936260 1940352 1998720 2036196 2065344 2262440 2425440 2545245 2581680 2587136 2664960 2714928 2753792 2910528 3098016 3233920 3393660 3442240 3506782 3619904 3638160 3755520 3872520 3880704 3997440 4072392 4130688 4524880 4850880 5090490 5163360 5260173 5429856 5507584 5821056 6196032 6467840 6787320 6884480 7013564 7239808 7276320 7745040 7761408 7994880 8144784 8261376 8766955 9049760 9701760 10180980 10326720 10520346 10859712 11642112 12392064 12935680 13574640 13768960 14027128 14479616 14552640 15490080 15780519 16289568 16522752 17533910 18099520 19403520 20361960 20653440 21040692 21719424 23284224 24784128 26300865 27149280 27537920 28054256 28959232 29105280 30980160 31561038 32579136 35067820 36199040 38807040 40723920 41306880 42081384 43438848 49568256 52601730 54298560 56108512 58210560 61960320 63122076 65158272 70135640 72398080 78902595 81447840 82613760 84162768 86877696 105203460 108597120 112217024 116421120 123920640 126244152 130316544 140271280 144796160 157805190 162895680 168325536 210406920 217194240 224434048 247841280 252488304 260633088 280542560 315610380 325791360 336651072 420813840 434388480 448868096 504976608 561085120 631220760 651582720 673302144 841627680 897736192 1009953216 1122170240 1262441520 1303165440 1346604288 1683255360 2019906432 2244340480 2524883040 2693208576 3366510720 4039812864 4488680960 5049766080 6733021440 8079625728 10099532160 13466042880 20199064320 40398128640
- Sum of all divisors σ(n): 145728101376
- Sum of proper divisors (its aliquot sum) s(n): 105329972736
- 40398128640 is an abundant number, because the sum of its proper divisors (105329972736) is greater than itself. Its abundance is 64931844096
Bases of 40398128640
- Binary: 1001011001111110101010000110000000002
- Hexadecimal: 0x967EA8600
- Base-36: IK403K0
Squares and roots of 40398128640
- 40398128640 squared (403981286402) is 1632008797613988249600
- 40398128640 cubed (403981286403) is 65930101347621622370789228544000
-
The
square root of 40398128640 is 200992.8571865179 -
The
cube root of 40398128640 is 3431.2609620321
Scales and comparisons
How big is 40398128640?- 40,398,128,640 seconds is equal to 1,284 years, 27 weeks, 5 days, 22 hours, 24 minutes.
-
To count from 1 to 40,398,128,640 would take you about two thousand, five hundred sixty-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 40398128640 cubic inches would be around 285.9 feet tall.
Recreational maths with 40398128640
- 40398128640 backwards is 04682189304
- 40398128640 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 40398128640's digits is 45
- More coming soon!
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