Search a number
-
+
511125152140 = 225178591750069
BaseRepresentation
bin1110111000000010110…
…11101110000110001100
31210212022012010222221101
413130001123232012030
531333241014332030
61030450241512444
751633105052261
oct7340133560614
91725265128841
10511125152140
11187848906a09
1283086942724
1339277c84435
141aa4a991268
15d4676947ca
hex77016ee18c

511125152140 has 48 divisors (see below), whose sum is σ = 1137825511200. Its totient is φ = 192199468032.

The previous prime is 511125152107. The next prime is 511125152141. The reversal of 511125152140 is 41251521115.

It is a super-2 number, since 2×5111251521402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 511125152099 and 511125152108.

It is not an unprimeable number, because it can be changed into a prime (511125152141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582975 + ... + 1167094.

It is an arithmetic number, because the mean of its divisors is an integer number (23704698150).

Almost surely, 2511125152140 is an apocalyptic number.

It is an amenable number.

511125152140 is an abundant number, since it is smaller than the sum of its proper divisors (626700359060).

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

511125152140 is a wasteful number, since it uses less digits than its factorization.

511125152140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750954 (or 1750952 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 28.

Adding to 511125152140 its reverse (41251521115), we get a palindrome (552376673255).

The spelling of 511125152140 in words is "five hundred eleven billion, one hundred twenty-five million, one hundred fifty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 859 1718 3436 4295 8590 14603 17180 29206 58412 73015 146030 292060 1750069 3500138 7000276 8750345 17500690 29751173 35001380 59502346 119004692 148755865 297511730 595023460 1503309271 3006618542 6013237084 7516546355 15033092710 25556257607 30066185420 51112515214 102225030428 127781288035 255562576070 511125152140