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140153645641 = 2324123972
BaseRepresentation
bin1000001010000111001…
…1101110101001001001
3111101202112210212221111
42002201303232221021
54244013313130031
6144215151010321
713061065221532
oct2024163565111
9441675725844
10140153645641
1154491096409
12231b52099a1
13102a7669389
146ad7bc5689
1539a44711b1
hex20a1ceea49

140153645641 has 27 divisors (see below), whose sum is σ = 150552071733. Its totient is φ = 130460806080.

The previous prime is 140153645617. The next prime is 140153645659. The reversal of 140153645641 is 146546351041.

The square root of 140153645641 is 374371.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 20301975225 + 119851670416 = 142485^2 + 346196^2 .

It is not a de Polignac number, because 140153645641 - 221 = 140151548489 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 140153645594 and 140153645603.

It is not an unprimeable number, because it can be changed into a prime (140153645441) 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 26 ways as a sum of consecutive naturals, for example, 353031655 + ... + 353032051.

Almost surely, 2140153645641 is an apocalyptic number.

140153645641 is the 374371-st square number.

140153645641 is the 187186-th centered octagonal number.

It is an amenable number.

140153645641 is a deficient number, since it is larger than the sum of its proper divisors (10398426092).

140153645641 is an frugal number, since it uses more digits than its factorization.

140153645641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

Adding to 140153645641 its reverse (146546351041), we get a palindrome (286699996682).

The spelling of 140153645641 in words is "one hundred forty billion, one hundred fifty-three million, six hundred forty-five thousand, six hundred forty-one".

Divisors: 1 23 41 397 529 943 1681 9131 16277 21689 38663 157609 210013 374371 667357 889249 3625007 6461969 8610533 15349211 83375161 148625287 264940729 353031853 3418381601 6093636767 140153645641