401137920
401,137,920 is an even composite number composed of five prime numbers multiplied together.
401137920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 401137920:
28 × 34 × 5 × 53 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 53 × 73)See below for interesting mathematical facts about the number 401137920 from the Numbermatics database.
Names of 401137920
- Cardinal: 401137920 can be written as Four hundred one million, one hundred thirty-seven thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.0113792 × 108
Factors of 401137920
Divisors of 401137920
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 53 54 60 64 72 73 80 81 90 96 106 108 120 128 135 144 146 159 160 162 180 192 212 216 219 240 256 265 270 288 292 318 320 324 360 365 384 405 424 432 438 477 480 530 540 576 584 636 640 648 657 720 730 768 795 810 848 864 876 954 960 1060 1080 1095 1152 1168 1272 1280 1296 1314 1431 1440 1460 1590 1620 1696 1728 1752 1908 1920 1971 2120 2160 2190 2304 2336 2385 2544 2592 2628 2862 2880 2920 3180 3240 3285 3392 3456 3504 3816 3840 3869 3942 4240 4293 4320 4380 4672 4770 5088 5184 5256 5724 5760 5840 5913 6360 6480 6570 6784 6912 7008 7155 7632 7738 7884 8480 8586 8640 8760 9344 9540 9855 10176 10368 10512 11448 11520 11607 11680 11826 12720 12960 13140 13568 14016 14310 15264 15476 15768 16960 17172 17280 17520 18688 19080 19345 19710 20352 20736 21024 21465 22896 23214 23360 23652 25440 25920 26280 28032 28620 29565 30528 30952 31536 33920 34344 34560 34821 35040 38160 38690 39420 40704 42048 42930 45792 46428 46720 47304 50880 51840 52560 56064 57240 58035 59130 61056 61904 63072 67840 68688 69642 70080 76320 77380 78840 84096 85860 91584 92856 93440 94608 101760 103680 104463 105120 114480 116070 118260 122112 123808 126144 137376 139284 140160 152640 154760 157680 168192 171720 174105 183168 185712 189216 203520 208926 210240 228960 232140 236520 247616 252288 274752 278568 280320 305280 309520 313389 315360 343440 348210 366336 371424 378432 417852 420480 457920 464280 473040 495232 504576 522315 549504 557136 610560 619040 626778 630720 686880 696420 742848 756864 835704 840960 915840 928560 946080 990464 1044630 1099008 1114272 1238080 1253556 1261440 1373760 1392840 1485696 1513728 1566945 1671408 1831680 1857120 1892160 2089260 2228544 2476160 2507112 2522880 2747520 2785680 2971392 3133890 3342816 3714240 3784320 4178520 4457088 4952320 5014224 5495040 5571360 6267780 6685632 7428480 7568640 8357040 8914176 10028448 11142720 12535560 13371264 14856960 16714080 20056896 22285440 25071120 26742528 33428160 40113792 44570880 50142240 66856320 80227584 100284480 133712640 200568960 401137920
- Sum of all divisors σ(n): 1482460056
- Sum of proper divisors (its aliquot sum) s(n): 1081322136
- 401137920 is an abundant number, because the sum of its proper divisors (1081322136) is greater than itself. Its abundance is 680184216
Bases of 401137920
- Binary: 101111110100011100001000000002
- Hexadecimal: 0x17E8E100
- Base-36: 6MTS00
Squares and roots of 401137920
- 401137920 squared (4011379202) is 160911630861926400
- 401137920 cubed (4011379203) is 64547756907760963289088000
-
The
square root of 401137920 is 20028.4277965097 -
The
cube root of 401137920 is 737.5043270837
Scales and comparisons
How big is 401137920?- 401,137,920 seconds is equal to 12 years, 39 weeks, 1 day, 19 hours, 12 minutes.
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To count from 1 to 401,137,920 would take you about nineteen 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 401137920 cubic inches would be around 61.5 feet tall.
Recreational maths with 401137920
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