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152144104401 = 3259753282913
BaseRepresentation
bin1000110110110001111…
…1101100101111010001
3112112201011222022011200
42031230133230233101
54443042342320101
6153521040101413
713664162356332
oct2155437545721
9475634868150
10152144104401
1159584420563
12255a0904869
13114688400a3
14751443c289
153e56e59986
hex236c7ecbd1

152144104401 has 12 divisors (see below), whose sum is σ = 219768161028. Its totient is φ = 101427346944.

The previous prime is 152144104367. The next prime is 152144104457. The reversal of 152144104401 is 104401441251.

It is a happy number.

152144104401 is a `hidden beast` number, since 1 + 5 + 214 + 4 + 1 + 0 + 440 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 122612025600 + 29532078801 = 350160^2 + 171849^2 .

It is not a de Polignac number, because 152144104401 - 217 = 152143973329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (152144104201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 396321 + ... + 679233.

It is an arithmetic number, because the mean of its divisors is an integer number (18314013419).

Almost surely, 2152144104401 is an apocalyptic number.

It is an amenable number.

152144104401 is a deficient number, since it is larger than the sum of its proper divisors (67624056627).

152144104401 is a wasteful number, since it uses less digits than its factorization.

152144104401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342672 (or 342669 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 152144104401 its reverse (104401441251), we get a palindrome (256545545652).

The spelling of 152144104401 in words is "one hundred fifty-two billion, one hundred forty-four million, one hundred four thousand, four hundred one".

Divisors: 1 3 9 59753 179259 282913 537777 848739 2546217 16904900489 50714701467 152144104401