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140060311056 = 24331634914051
BaseRepresentation
bin1000001001110000111…
…1101011111000010000
3111101112001011222222000
42002130033223320100
54243320414423211
6144202014314000
713055553000201
oct2023417537020
9441461158860
10140060311056
1154443437796
1223189ab8900
131029121a703
146ac964b5a8
15399b186656
hex209c3ebe10

140060311056 has 160 divisors (see below), whose sum is σ = 405415242240. Its totient is φ = 46294416000.

The previous prime is 140060310979. The next prime is 140060311057. The reversal of 140060311056 is 650113060041.

140060311056 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 603 + 1 + 1 + 0 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (140060311057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34572231 + ... + 34576281.

It is an arithmetic number, because the mean of its divisors is an integer number (2533845264).

Almost surely, 2140060311056 is an apocalyptic number.

140060311056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140060311056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202707621120).

140060311056 is an abundant number, since it is smaller than the sum of its proper divisors (265354931184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

140060311056 is a wasteful number, since it uses less digits than its factorization.

140060311056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4722 (or 4710 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 140060311056 its reverse (650113060041), we get a palindrome (790173371097).

The spelling of 140060311056 in words is "one hundred forty billion, sixty million, three hundred eleven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 163 216 326 432 489 491 652 978 982 1304 1467 1473 1956 1964 2608 2934 2946 3912 3928 4051 4401 4419 5868 5892 7824 7856 8102 8802 8838 11736 11784 12153 13257 16204 17604 17676 23472 23568 24306 26514 32408 35208 35352 36459 48612 53028 64816 70416 70704 72918 80033 97224 106056 109377 145836 160066 194448 212112 218754 240099 291672 320132 437508 480198 583344 640264 660313 720297 875016 960396 1280528 1320626 1440594 1750032 1920792 1980939 1989041 2160891 2641252 2881188 3841584 3961878 3978082 4321782 5282504 5762376 5942817 5967123 7923756 7956164 8643564 10565008 11524752 11885634 11934246 15847512 15912328 17287128 17828451 17901369 23771268 23868492 31695024 31824656 34574256 35656902 35802738 47542536 47736984 53704107 71313804 71605476 95085072 95473968 107408214 142627608 143210952 214816428 285255216 286421904 324213683 429632856 648427366 859265712 972641049 1296854732 1945282098 2593709464 2917923147 3890564196 5187418928 5835846294 7781128392 8753769441 11671692588 15562256784 17507538882 23343385176 35015077764 46686770352 70030155528 140060311056