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147420505024741 = 13101113993607189
BaseRepresentation
bin100001100001010000000010…
…110101011010100011100101
3201022222021002110121001221001
4201201100002311122203211
5123310314143241242431
61241312013422353301
743023531354216454
oct4141200265324345
9638867073531831
10147420505024741
1142a77759929523
121464b0b8a2b831
1364349038761a0
142859294ab0b9b
151209b2b85be61
hex861402d5a8e5

147420505024741 has 16 divisors (see below), whose sum is σ = 161751301674480. Its totient is φ = 133540806067200.

The previous prime is 147420505024739. The next prime is 147420505024823.

147420505024741 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 15271455752641 + 132149049272100 = 3907871^2 + 11495610^2 .

It is a cyclic number.

It is not a de Polignac number, because 147420505024741 - 21 = 147420505024739 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 147420505024691 and 147420505024700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147421505024741) 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, 496655226 + ... + 496951963.

It is an arithmetic number, because the mean of its divisors is an integer number (10109456354655).

Almost surely, 2147420505024741 is an apocalyptic number.

It is an amenable number.

147420505024741 is a deficient number, since it is larger than the sum of its proper divisors (14330796649739).

147420505024741 is a wasteful number, since it uses less digits than its factorization.

147420505024741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993607416.

The product of its (nonzero) digits is 1254400, while the sum is 46.

It can be divided in two parts, 14742050 and 5024741, that added together give a palindrome (19766791).

The spelling of 147420505024741 in words is "one hundred forty-seven trillion, four hundred twenty billion, five hundred five million, twenty-four thousand, seven hundred forty-one".

Divisors: 1 13 101 113 1313 1469 11413 148369 993607189 12916893457 100354326089 112277612357 1304606239157 1459608960641 11340038848057 147420505024741