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24430254323141 = 4331201121338729
BaseRepresentation
bin1011000111000000111001…
…01000010111010111000101
310012111111202102120102201102
411203200130220113113011
511200231130101320031
6123543034235305445
75101012322313542
oct543403450272705
9105444672512642
1024430254323141
1178698a3740847
1228a68b68ab285
1310829bc6a9c54
1460660588bbc9
152c574884d7cb
hex16381ca175c5

24430254323141 has 16 divisors (see below), whose sum is σ = 24527900790960. Its totient is φ = 24332833382400.

The previous prime is 24430254323021. The next prime is 24430254323177. The reversal of 24430254323141 is 14132345203442.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 20899105974916 + 3531148348225 = 4571554^2 + 1879135^2 .

It is a cyclic number.

It is not a de Polignac number, because 24430254323141 - 242 = 20032207812037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 24430254323095 and 24430254323104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24430254823141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 630780665 + ... + 630819393.

It is an arithmetic number, because the mean of its divisors is an integer number (1532993799435).

Almost surely, 224430254323141 is an apocalyptic number.

It is an amenable number.

24430254323141 is a deficient number, since it is larger than the sum of its proper divisors (97646467819).

24430254323141 is a wasteful number, since it uses less digits than its factorization.

24430254323141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41576.

The product of its (nonzero) digits is 276480, while the sum is 38.

Adding to 24430254323141 its reverse (14132345203442), we get a palindrome (38562599526583).

The spelling of 24430254323141 in words is "twenty-four trillion, four hundred thirty billion, two hundred fifty-four million, three hundred twenty-three thousand, one hundred forty-one".

Divisors: 1 433 1201 1213 38729 520033 525229 1456813 16769657 46513529 46978277 630800029 20140358057 20341593941 56420910677 24430254323141