401681606144
401,681,606,144 is an even composite number composed of six prime numbers multiplied together.
401681606144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 401681606144:
29 × 7 × 13 × 47 × 59 × 3109
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 47 × 59 × 3109)See below for interesting mathematical facts about the number 401681606144 from the Numbermatics database.
Names of 401681606144
- Cardinal: 401681606144 can be written as Four hundred one billion, six hundred eighty-one million, six hundred six thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.01681606144 × 1011
Factors of 401681606144
Divisors of 401681606144
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 47 52 56 59 64 91 94 104 112 118 128 182 188 208 224 236 256 329 364 376 413 416 448 472 512 611 658 728 752 767 826 832 896 944 1222 1316 1456 1504 1534 1652 1664 1792 1888 2444 2632 2773 2912 3008 3068 3109 3304 3328 3584 3776 4277 4888 5264 5369 5546 5824 6016 6136 6218 6608 6656 7552 8554 9776 10528 10738 11092 11648 12032 12272 12436 13216 15104 17108 19411 19552 21056 21476 21763 22184 23296 24064 24544 24872 26432 30208 34216 36049 38822 39104 40417 42112 42952 43526 44368 46592 49088 49744 52864 68432 72098 77644 78208 80834 84224 85904 87052 88736 98176 99488 105728 136864 144196 146123 155288 156416 161668 168448 171808 174104 177472 183431 196352 198976 211456 252343 273728 282919 288392 292246 310576 312832 323336 343616 348208 354944 366862 392704 397952 504686 547456 565838 576784 584492 621152 646672 687232 696416 709888 733724 795904 1009372 1022861 1094912 1131676 1153568 1168984 1242304 1284017 1293344 1374464 1392832 1419776 1467448 1591808 1899599 2018744 2045722 2189824 2263352 2307136 2337968 2384603 2484608 2568034 2586688 2748928 2785664 2934896 3799198 4037488 4091444 4526704 4614272 4675936 4769206 4969216 5136068 5173376 5571328 5869792 7598396 8074976 8182888 8621257 9053408 9228544 9351872 9538412 9938432 10272136 10346752 11142656 11739584 13297193 15196792 16149952 16365776 16692221 17242514 18106816 18457088 18703744 19076824 20544272 20693504 23479168 26594386 30393584 32299904 32731552 33384442 34485028 36213632 37407488 38153648 41088544 46958336 53188772 60348799 60787168 64599808 65463104 66768884 68970056 72427264 74814976 76307296 82177088 93916672 106377544 112076341 120697598 121574336 129199616 130926208 133537768 137940112 144854528 152614592 164354176 212755088 224152682 241395196 243148672 261852416 267075536 275880224 305229184 328708352 425510176 448305364 482790392 486297344 523704832 534151072 551760448 610458368 657416704 784534387 851020352 896610728 965580784 972594688 1068302144 1103520896 1220916736 1569068774 1702040704 1793221456 1931161568 2136604288 2207041792 3138137548 3404081408 3586442912 3862323136 4273208576 4414083584 6276275096 6808162816 7172885824 7724646272 8546417152 12552550192 14345771648 15449292544 25105100384 28691543296 30898585088 50210200768 57383086592 100420401536 200840803072 401681606144
- Sum of all divisors σ(n): 1026234316800
- Sum of proper divisors (its aliquot sum) s(n): 624552710656
- 401681606144 is an abundant number, because the sum of its proper divisors (624552710656) is greater than itself. Its abundance is 222871104512
Bases of 401681606144
- Binary: 1011101100001100001011011100110000000002
- Hexadecimal: 0x5D8616E600
- Base-36: 54J2UUWW
Squares and roots of 401681606144
- 401681606144 squared (4016816061442) is 161348112714423538548736
- 401681606144 cubed (4016816061443) is 64810569063432794559336175301033984
-
The
square root of 401681606144 is 633783.5641163315 -
The
cube root of 401681606144 is 7378.3737119545
Scales and comparisons
How big is 401681606144?- 401,681,606,144 seconds is equal to 12,772 years, 12 weeks, 15 hours, 55 minutes, 44 seconds.
-
To count from 1 to 401,681,606,144 would take you about twenty-five thousand, five hundred forty-four 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 401681606144 cubic inches would be around 614.9 feet tall.
Recreational maths with 401681606144
- 401681606144 backwards is 441606186104
- The number of decimal digits it has is: 12
- The sum of 401681606144's digits is 41
- More coming soon!
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