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145610354337 = 3717419948101
BaseRepresentation
bin1000011110011100001…
…1011010111010100001
3111220211211120102001120
42013213003122322201
54341202222314322
6150520435122453
713343234406330
oct2074703327241
9456754512046
10145610354337
1156831281418
1224278743429
13109670033a6
1470947add17
153bc353da5c
hex21e70daea1

145610354337 has 32 divisors (see below), whose sum is σ = 240664483584. Its totient is φ = 76401408000.

The previous prime is 145610354299. The next prime is 145610354347. The reversal of 145610354337 is 733453016541.

145610354337 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 145610354337 - 27 = 145610354209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145610354347) 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 31 ways as a sum of consecutive naturals, for example, 4959414 + ... + 4988687.

It is an arithmetic number, because the mean of its divisors is an integer number (7520765112).

Almost surely, 2145610354337 is an apocalyptic number.

145610354337 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

145610354337 is a deficient number, since it is larger than the sum of its proper divisors (95054129247).

145610354337 is a wasteful number, since it uses less digits than its factorization.

145610354337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9948169.

The product of its (nonzero) digits is 453600, while the sum is 42.

The spelling of 145610354337 in words is "one hundred forty-five billion, six hundred ten million, three hundred fifty-four thousand, three hundred thirty-seven".

Divisors: 1 3 7 17 21 41 51 119 123 287 357 697 861 2091 4879 14637 9948101 29844303 69636707 169117717 208910121 407872141 507353151 1183824019 1223616423 2855104987 3551472057 6933826397 8565314961 20801479191 48536784779 145610354337