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506232137140 = 225311276429161
BaseRepresentation
bin1110101110111011100…
…10010110010110110100
31210101200012002002012121
413113131302112112310
531243230411342030
61024320531325324
751400622111362
oct7273562262664
91711605062177
10506232137140
11185767931364
1282140150844
13389783437a2
141a704bbc632
15d27cd2247a
hex75ddc965b4

506232137140 has 48 divisors (see below), whose sum is σ = 1106021597184. Its totient is φ = 194417798400.

The previous prime is 506232137107. The next prime is 506232137141. The reversal of 506232137140 is 41731232605.

It is a junction number, because it is equal to n+sod(n) for n = 506232137096 and 506232137105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506232137141) 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 15 ways as a sum of consecutive naturals, for example, 3135841 + ... + 3293320.

It is an arithmetic number, because the mean of its divisors is an integer number (23042116608).

Almost surely, 2506232137140 is an apocalyptic number.

It is an amenable number.

506232137140 is an abundant number, since it is smaller than the sum of its proper divisors (599789460044).

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

506232137140 is a wasteful number, since it uses less digits than its factorization.

506232137140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6429328 (or 6429326 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

Adding to 506232137140 its reverse (41731232605), we get a palindrome (547963369745).

The spelling of 506232137140 in words is "five hundred six billion, two hundred thirty-two million, one hundred thirty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 127 155 254 310 508 620 635 1270 2540 3937 7874 15748 19685 39370 78740 6429161 12858322 25716644 32145805 64291610 128583220 199303991 398607982 797215964 816503447 996519955 1633006894 1993039910 3266013788 3986079820 4082517235 8165034470 16330068940 25311606857 50623213714 101246427428 126558034285 253116068570 506232137140