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10144181444747 = 710197211476001
BaseRepresentation
bin1001001110011110000001…
…0101001110000010001011
31022220202220110001112102112
42103213200111032002023
52312200240422212442
633324101141452535
72064615162403520
oct223474025160213
938822813045375
1010144181444747
113261139a70519
12117a015a1114b
135877910ca57c
14270da3c23147
15128d17ccb082
hex939e054e08b

10144181444747 has 16 divisors (see below), whose sum is σ = 11709348218304. Its totient is φ = 8608032000000.

The previous prime is 10144181444743. The next prime is 10144181444827. The reversal of 10144181444747 is 74744418144101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10144181444747 - 22 = 10144181444743 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10144181444695 and 10144181444704.

It is not an unprimeable number, because it can be changed into a prime (10144181444743) 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 in 15 ways as a sum of consecutive naturals, for example, 6134747 + ... + 7610747.

It is an arithmetic number, because the mean of its divisors is an integer number (731834263644).

Almost surely, 210144181444747 is an apocalyptic number.

10144181444747 is a deficient number, since it is larger than the sum of its proper divisors (1565166773557).

10144181444747 is a wasteful number, since it uses less digits than its factorization.

10144181444747 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485830.

The product of its (nonzero) digits is 1605632, while the sum is 50.

Adding to 10144181444747 its reverse (74744418144101), we get a palindrome (84888599588848).

The spelling of 10144181444747 in words is "ten trillion, one hundred forty-four billion, one hundred eighty-one million, four hundred forty-four thousand, seven hundred forty-seven".

Divisors: 1 7 101 707 9721 68047 981821 1476001 6872747 10332007 149076101 1043532707 14348205721 100437440047 1449168777821 10144181444747