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144312153434 = 21769119313181
BaseRepresentation
bin1000011001100110101…
…1001011010101011010
3111210111100202222012122
42012121223023111122
54331022402402214
6150143542141242
713266122031131
oct2063153132532
9453440688178
10144312153434
11562254a2909
1223b75a21822
13107bb078287
146db01da918
153b495a688e
hex2199acb55a

144312153434 has 32 divisors (see below), whose sum is σ = 229724413632. Its totient is φ = 67756896000.

The previous prime is 144312153431. The next prime is 144312153521. The reversal of 144312153434 is 434351213441.

144312153434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1443121534343 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144312153394 and 144312153403.

It is not an unprimeable number, because it can be changed into a prime (144312153431) 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, 45365324 + ... + 45368504.

It is an arithmetic number, because the mean of its divisors is an integer number (7178887926).

Almost surely, 2144312153434 is an apocalyptic number.

144312153434 is a deficient number, since it is larger than the sum of its proper divisors (85412260198).

144312153434 is a wasteful number, since it uses less digits than its factorization.

144312153434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5822.

The product of its digits is 69120, while the sum is 35.

Adding to 144312153434 its reverse (434351213441), we get a palindrome (578663366875).

The spelling of 144312153434 in words is "one hundred forty-four billion, three hundred twelve million, one hundred fifty-three thousand, four hundred thirty-four".

Divisors: 1 2 17 34 691 1382 1931 3181 3862 6362 11747 23494 32827 54077 65654 108154 1334321 2198071 2668642 4396142 6142511 12285022 22683457 37367207 45366914 74734414 104422687 208845374 4244475101 8488950202 72156076717 144312153434