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144513102351344 = 24125914627490463
BaseRepresentation
bin100000110110111100010100…
…001000011000101111110000
3200221200022120120112100212212
4200312330110020120233300
5122420200313200220334
61231204222553111252
742303504252233606
oct4066742410305760
9627608516470785
10144513102351344
1142056731912851
121425b7356b8528
1362836b0cb36cc
142798685a1d876
1511a91b64e7ece
hex836f14218bf0

144513102351344 has 40 divisors (see below), whose sum is σ = 280236258731520. Its totient is φ = 72194075941568.

The previous prime is 144513102351341. The next prime is 144513102351353. The reversal of 144513102351344 is 443153201315441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144513102351341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 294401057 + ... + 294891519.

It is an arithmetic number, because the mean of its divisors is an integer number (7005906468288).

Almost surely, 2144513102351344 is an apocalyptic number.

It is an amenable number.

144513102351344 is a deficient number, since it is larger than the sum of its proper divisors (135723156380176).

144513102351344 is a wasteful number, since it uses less digits than its factorization.

144513102351344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506357 (or 506351 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

Adding to 144513102351344 its reverse (443153201315441), we get a palindrome (587666303666785).

The spelling of 144513102351344 in words is "one hundred forty-four trillion, five hundred thirteen billion, one hundred two million, three hundred fifty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 1259 2518 5036 10072 14627 20144 29254 58508 117016 234032 490463 980926 1961852 3923704 7847408 18415393 36830786 73661572 147323144 294646288 617492917 1234985834 2469971668 4939943336 7174002301 9879886672 14348004602 28696009204 57392018408 114784036816 9032068896959 18064137793918 36128275587836 72256551175672 144513102351344