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144021034311140 = 22572243437603689
BaseRepresentation
bin100000101111110010000010…
…100101110001110111100100
3200212221021110111200221221002
4200233302002211301313210
5122334120034240424030
61230150203315212432
742223114330012400
oct4057620245616744
9625837414627832
10144021034311140
1141986a83280128
12141a02a8ba7118
13624918227528c
14277c926032100
15119b4b6e20245
hex82fc82971de4

144021034311140 has 72 divisors (see below), whose sum is σ = 351824840410680. Its totient is φ = 49378355701248.

The previous prime is 144021034311127. The next prime is 144021034311149. The reversal of 144021034311140 is 41113430120441.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 566804202496 + 143454230108644 = 752864^2 + 11977238^2 .

It is not an unprimeable number, because it can be changed into a prime (144021034311149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238266416 + ... + 238870104.

It is an arithmetic number, because the mean of its divisors is an integer number (4886456116815).

Almost surely, 2144021034311140 is an apocalyptic number.

144021034311140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144021034311140 is an abundant number, since it is smaller than the sum of its proper divisors (207803806099540).

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

144021034311140 is a wasteful number, since it uses less digits than its factorization.

144021034311140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847149 (or 847140 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 144021034311140 its reverse (41113430120441), we get a palindrome (185134464431581).

The spelling of 144021034311140 in words is "one hundred forty-four trillion, twenty-one billion, thirty-four million, three hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 243437 486874 603689 973748 1207378 1217185 1704059 2414756 2434370 3018445 3408118 4225823 4868740 6036890 6816236 8451646 8520295 11928413 12073780 16903292 17040590 21129115 23856826 29580761 34081180 42258230 47713652 59161522 59642065 84516460 118323044 119284130 147903805 238568260 295807610 591615220 146960239093 293920478186 587840956372 734801195465 1028721673651 1469602390930 2057443347302 2939204781860 4114886694604 5143608368255 7201051715557 10287216736510 14402103431114 20574433473020 28804206862228 36005258577785 72010517155570 144021034311140