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154004140341 = 3253581355541
BaseRepresentation
bin1000111101101101011…
…1001011000100110101
3112201111210221220210200
42033123113023010311
510010400024442331
6154425403111113
714061236410542
oct2173327130465
9481453856720
10154004140341
115a349360047
1225a1b812499
13116a3cc057c
14764d4a1bc9
1540153c15e6
hex23db5cb135

154004140341 has 24 divisors (see below), whose sum is σ = 226690673976. Its totient is φ = 100713125760.

The previous prime is 154004140307. The next prime is 154004140361. The reversal of 154004140341 is 143041400451.

154004140341 is a `hidden beast` number, since 1 + 540 + 0 + 41 + 40 + 3 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16329006225 + 137675134116 = 127785^2 + 371046^2 .

It is a de Polignac number, because none of the positive numbers 2k-154004140341 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154004140361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2745031 + ... + 2800571.

It is an arithmetic number, because the mean of its divisors is an integer number (9445444749).

Almost surely, 2154004140341 is an apocalyptic number.

It is an amenable number.

154004140341 is a deficient number, since it is larger than the sum of its proper divisors (72686533635).

154004140341 is a wasteful number, since it uses less digits than its factorization.

154004140341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61413 (or 61410 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 154004140341 its reverse (143041400451), we get a palindrome (297045540792).

The spelling of 154004140341 in words is "one hundred fifty-four billion, four million, one hundred forty thousand, three hundred forty-one".

Divisors: 1 3 9 53 159 477 5813 17439 52317 55541 166623 308089 499869 924267 2772801 2943673 8831019 26493057 322859833 968579499 2905738497 17111571149 51334713447 154004140341