Search a number
-
+
140021321024 = 2613732305409
BaseRepresentation
bin1000001001100111101…
…0111100110101000000
3111101102022211002200202
42002121322330311000
54243230424233044
6144154102504332
713054600406504
oct2023172746500
9441368732622
10140021321024
1154423426a22
1223178a350a8
13102861187a0
146ac43bc304
153997a33c4e
hex2099ebcd40

140021321024 has 56 divisors (see below), whose sum is σ = 303327404520. Its totient is φ = 63739920384.

The previous prime is 140021321023. The next prime is 140021321057. The reversal of 140021321024 is 420123120041.

140021321024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13541511424 + 126479809600 = 116368^2 + 355640^2 .

It is a junction number, because it is equal to n+sod(n) for n = 140021320987 and 140021321005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140021321023) 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 7 ways as a sum of consecutive naturals, for example, 1091969 + ... + 1213440.

It is an arithmetic number, because the mean of its divisors is an integer number (5416560795).

Almost surely, 2140021321024 is an apocalyptic number.

It is an amenable number.

140021321024 is an abundant number, since it is smaller than the sum of its proper divisors (163306083496).

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

140021321024 is a wasteful number, since it uses less digits than its factorization.

140021321024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305507 (or 2305497 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 140021321024 its reverse (420123120041), we get a palindrome (560144441065).

The spelling of 140021321024 in words is "one hundred forty billion, twenty-one million, three hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 73 104 146 208 292 416 584 832 949 1168 1898 2336 3796 4672 7592 15184 30368 60736 2305409 4610818 9221636 18443272 29970317 36886544 59940634 73773088 119881268 147546176 168294857 239762536 336589714 479525072 673179428 959050144 1346358856 1918100288 2187833141 2692717712 4375666282 5385435424 8751332564 10770870848 17502665128 35005330256 70010660512 140021321024