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6141435440 = 245743255043
BaseRepresentation
bin1011011100000111…
…01101111000110000
3120212000012020121212
411232003231320300
5100034201413230
62453224135252
7305122224410
oct55603557060
916760166555
106141435440
112671753388
121234907528
1376b48958a
14423908640
1525e274895
hex16e0ede30

6141435440 has 80 divisors (see below), whose sum is σ = 16698240768. Its totient is φ = 2056658688.

The previous prime is 6141435439. The next prime is 6141435449. The reversal of 6141435440 is 445341416.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 6141435397 and 6141435406.

It is not an unprimeable number, because it can be changed into a prime (6141435449) 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 15 ways as a sum of consecutive naturals, for example, 103442 + ... + 151601.

Almost surely, 26141435440 is an apocalyptic number.

It is an amenable number.

6141435440 is an abundant number, since it is smaller than the sum of its proper divisors (10556805328).

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

6141435440 is a wasteful number, since it uses less digits than its factorization.

6141435440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255106 (or 255100 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 6141435440 is about 78367.3110422962. The cubic root of 6141435440 is about 1831.2879185616.

Adding to 6141435440 its reverse (445341416), we get a palindrome (6586776856).

The spelling of 6141435440 in words is "six billion, one hundred forty-one million, four hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 56 70 80 86 112 140 172 215 280 301 344 430 560 602 688 860 1204 1505 1720 2408 3010 3440 4816 6020 12040 24080 255043 510086 1020172 1275215 1785301 2040344 2550430 3570602 4080688 5100860 7141204 8926505 10201720 10966849 14282408 17853010 20403440 21933698 28564816 35706020 43867396 54834245 71412040 76767943 87734792 109668490 142824080 153535886 175469584 219336980 307071772 383839715 438673960 614143544 767679430 877347920 1228287088 1535358860 3070717720 6141435440