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13144412121401 = 111359187921901
BaseRepresentation
bin1011111101000110110000…
…0000111110100100111001
31201112121000200101101202102
42333101230000332210321
53210324224000341101
643542243133313145
72524436533362401
oct277215400764471
951477020341672
1013144412121401
114208571a71a60
1215835850357b5
13744688665722
1433629b605801
1517bdb28d886b
hexbf46c03e939

13144412121401 has 8 divisors (see below), whose sum is σ = 14340413903808. Its totient is φ = 11948586210000.

The previous prime is 13144412121317. The next prime is 13144412121431. The reversal of 13144412121401 is 10412121444131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13144412121401 - 222 = 13144407927097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13144412121431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43811450 + ... + 44110451.

It is an arithmetic number, because the mean of its divisors is an integer number (1792551737976).

Almost surely, 213144412121401 is an apocalyptic number.

13144412121401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13144412121401 is a deficient number, since it is larger than the sum of its proper divisors (1196001782407).

13144412121401 is a wasteful number, since it uses less digits than its factorization.

13144412121401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87935503.

The product of its (nonzero) digits is 3072, while the sum is 29.

Adding to 13144412121401 its reverse (10412121444131), we get a palindrome (23556533565532).

The spelling of 13144412121401 in words is "thirteen trillion, one hundred forty-four billion, four hundred twelve million, one hundred twenty-one thousand, four hundred one".

Divisors: 1 11 13591 149501 87921901 967140911 1194946556491 13144412121401