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144213302243224 = 231710713197513423
BaseRepresentation
bin100000110010100101000110…
…101001101110111110011000
3200220121122201222201220020201
4200302211012221232332120
5122400242320333240344
61230414402040231544
742243032032325344
oct4062450651567630
9626548658656221
10144213302243224
1141a50577535255
121421160716b5b4
136261343701b26
142787d65272624
1511a14bb6714d4
hex832946a6ef98

144213302243224 has 64 divisors (see below), whose sum is σ = 289200705868800. Its totient is φ = 67179850289664.

The previous prime is 144213302243221. The next prime is 144213302243237. The reversal of 144213302243224 is 422342203312441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144213302243221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15437377 + ... + 22950799.

It is an arithmetic number, because the mean of its divisors is an integer number (4518761029200).

Almost surely, 2144213302243224 is an apocalyptic number.

It is an amenable number.

144213302243224 is an abundant number, since it is smaller than the sum of its proper divisors (144987403625576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144213302243224 is a wasteful number, since it uses less digits than its factorization.

144213302243224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7514872 (or 7514868 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 144213302243224 its reverse (422342203312441), we get a palindrome (566555505555665).

The spelling of 144213302243224 in words is "one hundred forty-four trillion, two hundred thirteen billion, three hundred two million, two hundred forty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 17 34 68 107 136 214 428 856 1319 1819 2638 3638 5276 7276 10552 14552 22423 44846 89692 141133 179384 282266 564532 1129064 2399261 4798522 7513423 9597044 15026846 19194088 30053692 60107384 127728191 255456382 510912764 803936261 1021825528 1607872522 3215745044 6431490088 9910204937 13666916437 19820409874 27333832874 39640819748 54667665748 79281639496 109335331496 168473483929 336946967858 673893935716 1060391928259 1347787871432 2120783856518 4241567713036 8483135426072 18026662780403 36053325560806 72106651121612 144213302243224