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13931744153 is a prime number
BaseRepresentation
bin11001111100110010…
…11000101110011001
31022221221000221011012
430332121120232121
5212013011303103
610222233343305
71002145604615
oct147631305631
938857027135
1013931744153
1159aa119648
122849867b35
1314104311c2
149623ca345
1556814e2d8
hex33e658b99

13931744153 has 2 divisors, whose sum is σ = 13931744154. Its totient is φ = 13931744152.

The previous prime is 13931744111. The next prime is 13931744191. The reversal of 13931744153 is 35144713931.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7748752729 + 6182991424 = 88027^2 + 78632^2 .

It is a cyclic number.

It is not a de Polignac number, because 13931744153 - 214 = 13931727769 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13931744153.

It is not a weakly prime, because it can be changed into another prime (13931743153) 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 as a sum of consecutive naturals, namely, 6965872076 + 6965872077.

It is an arithmetic number, because the mean of its divisors is an integer number (6965872077).

Almost surely, 213931744153 is an apocalyptic number.

It is an amenable number.

13931744153 is a deficient number, since it is larger than the sum of its proper divisors (1).

13931744153 is an equidigital number, since it uses as much as digits as its factorization.

13931744153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 136080, while the sum is 41.

The spelling of 13931744153 in words is "thirteen billion, nine hundred thirty-one million, seven hundred forty-four thousand, one hundred fifty-three".