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1344040020101 = 1727576143537
BaseRepresentation
bin10011100011101111000…
…001110010100010000101
311202111012110102021102202
4103203233001302202011
5134010043221120401
62505235442044245
7166050364446422
oct23435701624205
94674173367382
101344040020101
11479005609119
12198598349685
139998617112c
14490a2526d49
1524e6543a06b
hex138ef072885

1344040020101 has 12 divisors (see below), whose sum is σ = 1429638153828. Its totient is φ = 1263307594752.

The previous prime is 1344040020091. The next prime is 1344040020107. The reversal of 1344040020101 is 1010200404431.

It can be written as a sum of positive squares in 6 ways, for example, as 182816104900 + 1161223915201 = 427570^2 + 1077601^2 .

It is not a de Polignac number, because 1344040020101 - 214 = 1344040003717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344040020107) 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 11 ways as a sum of consecutive naturals, for example, 2852996 + ... + 3290541.

It is an arithmetic number, because the mean of its divisors is an integer number (119136512819).

Almost surely, 21344040020101 is an apocalyptic number.

It is an amenable number.

1344040020101 is a deficient number, since it is larger than the sum of its proper divisors (85598133727).

1344040020101 is an equidigital number, since it uses as much as digits as its factorization.

1344040020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6144328 (or 6144311 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1344040020101 its reverse (1010200404431), we get a palindrome (2354240424532).

The spelling of 1344040020101 in words is "one trillion, three hundred forty-four billion, forty million, twenty thousand, one hundred one".

Divisors: 1 17 289 757 12869 218773 6143537 104440129 1775482193 4650657509 79061177653 1344040020101