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41152501224135 = 335743547620343
BaseRepresentation
bin10010101101101100100000…
…01101111001001011000111
312101201010210120022022011000
421112312100031321023013
520343220310303133020
6223305110441144343
711445112225601460
oct1126662015711307
9171633716268130
1041152501224135
11121267501088a4
12474776948b0b3
1319c6883380122
14a23b12561d67
154b570e931090
hex256d903792c7

41152501224135 has 32 divisors (see below), whose sum is σ = 83611431060480. Its totient is φ = 18812571987744.

The previous prime is 41152501224103. The next prime is 41152501224139. The reversal of 41152501224135 is 53142210525114.

41152501224135 is a `hidden beast` number, since 4 + 1 + 1 + 525 + 0 + 122 + 4 + 1 + 3 + 5 = 666.

41152501224135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 41152501224135 - 25 = 41152501224103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 41152501224135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41152501224139) 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 31 ways as a sum of consecutive naturals, for example, 21773809227 + ... + 21773811116.

It is an arithmetic number, because the mean of its divisors is an integer number (2612857220640).

Almost surely, 241152501224135 is an apocalyptic number.

41152501224135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

41152501224135 is an abundant number, since it is smaller than the sum of its proper divisors (42458929836345).

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

41152501224135 is a wasteful number, since it uses less digits than its factorization.

41152501224135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43547620364 (or 43547620358 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 41152501224135 its reverse (53142210525114), we get a palindrome (94294711749249).

The spelling of 41152501224135 in words is "forty-one trillion, one hundred fifty-two billion, five hundred one million, two hundred twenty-four thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 43547620343 130642861029 217738101715 304833342401 391928583087 653214305145 914500027203 1175785749261 1524166712005 1959642915435 2743500081609 4572500136015 5878928746305 8230500244827 13717500408045 41152501224135