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23141344132404 = 22322922166038441
BaseRepresentation
bin1010100001100000000111…
…00110001011110100110100
310000221021212001122122212200
411100300003212023310310
511013121433044214104
6121114553044544500
74605623036414451
oct520600346136464
9100837761578780
1023141344132404
117412209518483
122718b453b2130
13cbb2b0cc3334
145a00930b0828
152a1e5d307b39
hex150c0398bd34

23141344132404 has 36 divisors (see below), whose sum is σ = 60513284946660. Its totient is φ = 7447788915840.

The previous prime is 23141344132397. The next prime is 23141344132429. The reversal of 23141344132404 is 40423144314132.

23141344132404 is a `hidden beast` number, since 2 + 3 + 141 + 3 + 441 + 32 + 40 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12567010820004 + 10574333312400 = 3544998^2 + 3251820^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 11083018177 + ... + 11083020264.

Almost surely, 223141344132404 is an apocalyptic number.

It is an amenable number.

23141344132404 is an abundant number, since it is smaller than the sum of its proper divisors (37371940814256).

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

23141344132404 is a wasteful number, since it uses less digits than its factorization.

23141344132404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22166038480 (or 22166038475 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 23141344132404 its reverse (40423144314132), we get a palindrome (63564488446536).

The spelling of 23141344132404 in words is "twenty-three trillion, one hundred forty-one billion, three hundred forty-four million, one hundred thirty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 22166038441 44332076882 66498115323 88664153764 132996230646 199494345969 265992461292 398988691938 642815114789 797977383876 1285630229578 1928445344367 2571260459156 3856890688734 5785336033101 7713781377468 11570672066202 23141344132404