Search a number
-
+
41100234525 = 3252747555221
BaseRepresentation
bin100110010001110000…
…111100111100011101
310221002100100020112100
4212101300330330131
51133133130001100
630514200355313
72653334141430
oct462160747435
9127070306470
1041100234525
1116481013579
127b70475b39
133b4ccb5bcc
141dbc76b817
1511083b7400
hex991c3cf1d

41100234525 has 72 divisors (see below), whose sum is σ = 85921714944. Its totient is φ = 18388886400.

The previous prime is 41100234523. The next prime is 41100234533. The reversal of 41100234525 is 52543200114.

41100234525 is a `hidden beast` number, since 4 + 1 + 100 + 2 + 34 + 525 = 666.

It is not a de Polignac number, because 41100234525 - 21 = 41100234523 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41100234523) 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 71 ways as a sum of consecutive naturals, for example, 203586 + ... + 351635.

It is an arithmetic number, because the mean of its divisors is an integer number (1193357152).

Almost surely, 241100234525 is an apocalyptic number.

41100234525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41100234525 is an abundant number, since it is smaller than the sum of its proper divisors (44821480419).

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

41100234525 is a wasteful number, since it uses less digits than its factorization.

41100234525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555291 (or 555283 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 41100234525 its reverse (52543200114), we get a palindrome (93643434639).

It can be divided in two parts, 41100 and 234525, that added together give a square (275625 = 5252).

The spelling of 41100234525 in words is "forty-one billion, one hundred million, two hundred thirty-four thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 47 63 75 105 141 175 225 235 315 329 423 525 705 987 1175 1575 1645 2115 2961 3525 4935 8225 10575 14805 24675 74025 555221 1665663 2776105 3886547 4996989 8328315 11659641 13880525 19432735 24984945 26095387 34978923 41641575 58298205 78286161 97163675 124924725 130476935 174894615 182667709 234858483 291491025 391430805 548003127 652384675 874473075 913338545 1174292415 1644009381 1957154025 2740015635 4566692725 5871462075 8220046905 13700078175 41100234525