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144606727441 = 1127199716883
BaseRepresentation
bin1000011010101100111…
…0111000110100010001
3111211020220001212210001
42012223032320310101
54332123310234231
6150233104010001
713306326621361
oct2065316706421
9454226055701
10144606727441
1156366800700
1224038600901
13108370c6417
146ddb39a9a1
153b65392b61
hex21ab3b8d11

144606727441 has 24 divisors (see below), whose sum is σ = 161357821632. Its totient is φ = 129471434400.

The previous prime is 144606727427. The next prime is 144606727451. The reversal of 144606727441 is 144727606441.

It is not a de Polignac number, because 144606727441 - 217 = 144606596369 is a prime.

It is a super-2 number, since 2×1446067274412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144606727391 and 144606727400.

It is not an unprimeable number, because it can be changed into a prime (144606727451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8556786 + ... + 8573668.

It is an arithmetic number, because the mean of its divisors is an integer number (6723242568).

Almost surely, 2144606727441 is an apocalyptic number.

144606727441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144606727441 is a deficient number, since it is larger than the sum of its proper divisors (16751094191).

144606727441 is a wasteful number, since it uses less digits than its factorization.

144606727441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17973 (or 17962 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 46.

The spelling of 144606727441 in words is "one hundred forty-four billion, six hundred six million, seven hundred twenty-seven thousand, four hundred forty-one".

Divisors: 1 11 71 121 781 997 8591 10967 16883 70787 120637 185713 778657 1198693 2042843 8565227 13185623 16832351 145041853 185155861 1195096921 2036714471 13146066131 144606727441