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144323032204131 = 31127291602574283
BaseRepresentation
bin100000110100001011010011…
…000100010100001101100011
3200221000010222021000110121220
4200310023103010110031203
5122404042032221013011
61230541030302150123
742253665164522664
oct4064132304241543
9627003867013556
10144323032204131
1141a93066204a60
121422a92b582343
13626b7acc91191
14278d3b464136b
1511a428ebc7506
hex8342d3114363

144323032204131 has 16 divisors (see below), whose sum is σ = 210001334175360. Its totient is φ = 87436452825920.

The previous prime is 144323032204123. The next prime is 144323032204139. The reversal of 144323032204131 is 131402230323441.

It is an interprime number because it is at equal distance from previous prime (144323032204123) and next prime (144323032204139).

It is not a de Polignac number, because 144323032204131 - 23 = 144323032204123 is a prime.

It is a super-2 number, since 2×1443230322041312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 144323032204092 and 144323032204101.

It is not an unprimeable number, because it can be changed into a prime (144323032204139) 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, 801197085 + ... + 801377198.

It is an arithmetic number, because the mean of its divisors is an integer number (13125083385960).

Almost surely, 2144323032204131 is an apocalyptic number.

144323032204131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

144323032204131 is a deficient number, since it is larger than the sum of its proper divisors (65678301971229).

144323032204131 is a wasteful number, since it uses less digits than its factorization.

144323032204131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602577026.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 144323032204131 its reverse (131402230323441), we get a palindrome (275725262527572).

The spelling of 144323032204131 in words is "one hundred forty-four trillion, three hundred twenty-three billion, thirty-two million, two hundred four thousand, one hundred thirty-one".

Divisors: 1 3 11 33 2729 8187 30019 90057 1602574283 4807722849 17628317113 52884951339 4373425218307 13120275654921 48107677401377 144323032204131