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144531326533 = 11253101227983
BaseRepresentation
bin1000011010011010111…
…1010000011001000101
3111211001122012010011211
42012212233100121011
54332000004422113
6150221411531421
713304423001556
oct2064657203105
9454048163154
10144531326533
1156328190900
12240172b9b71
13108245b64b9
146dd137032d
153b5d94bb3d
hex21a6bd0645

144531326533 has 48 divisors (see below), whose sum is σ = 164352198528. Its totient is φ = 126945104000.

The previous prime is 144531326531. The next prime is 144531326581. The reversal of 144531326533 is 335623135441.

It is not a de Polignac number, because 144531326533 - 21 = 144531326531 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 (144531326531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147030360 + ... + 147031342.

It is an arithmetic number, because the mean of its divisors is an integer number (3424004136).

Almost surely, 2144531326533 is an apocalyptic number.

It is an amenable number.

144531326533 is a deficient number, since it is larger than the sum of its proper divisors (19820871995).

144531326533 is a wasteful number, since it uses less digits than its factorization.

144531326533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1375 counting only the distinct ones).

The product of its digits is 388800, while the sum is 40.

The spelling of 144531326533 in words is "one hundred forty-four billion, five hundred thirty-one million, three hundred twenty-six thousand, five hundred thirty-three".

Divisors: 1 11 53 101 121 227 583 983 1111 2497 5353 6413 10813 12031 12221 22927 27467 52099 58883 99283 118943 132341 223141 252197 573089 647713 1092113 1215131 1455751 2454551 2774167 5261999 6303979 11826473 12013243 13366441 22537241 27000061 57881989 130091203 147030851 247909651 636701879 1194473773 1431003233 2727006161 13139211503 144531326533