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11144310345 = 335721684703
BaseRepresentation
bin10100110000100000…
…01010111001001001
31001202122222121211000
422120100022321021
5140310420412340
65041501125213
7543111034500
oct123020127111
931678877730
1011144310345
1147a9744343
1221b0259809
131087ab389c
1477a117837
15453597d30
hex29840ae49

11144310345 has 48 divisors (see below), whose sum is σ = 23046750720. Its totient is φ = 5094538848.

The previous prime is 11144310341. The next prime is 11144310361. The reversal of 11144310345 is 54301344111.

11144310345 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 4 + 310 + 345 = 666.

It is not a de Polignac number, because 11144310345 - 22 = 11144310341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11144310341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 835737 + ... + 848966.

It is an arithmetic number, because the mean of its divisors is an integer number (480140640).

Almost surely, 211144310345 is an apocalyptic number.

11144310345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11144310345 is an abundant number, since it is smaller than the sum of its proper divisors (11902440375).

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

11144310345 is a wasteful number, since it uses less digits than its factorization.

11144310345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684731 (or 1684718 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 11144310345 its reverse (54301344111), we get a palindrome (65445654456).

It can be divided in two parts, 11144 and 310345, that added together give a square (321489 = 5672).

The spelling of 11144310345 in words is "eleven billion, one hundred forty-four million, three hundred ten thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 189 245 315 441 735 945 1323 2205 6615 1684703 5054109 8423515 11792921 15162327 25270545 35378763 45486981 58964605 75811635 82550447 106136289 176893815 227434905 247651341 318408867 412752235 530681445 742954023 1238256705 1592044335 2228862069 3714770115 11144310345