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142145144144 = 24191495475737
BaseRepresentation
bin1000010001100010000…
…0101100010101010000
3111120220100011111022022
42010120200230111100
54312103124103034
6145144531431012
713161326534603
oct2043040542520
9446810144268
10142145144144
1155313256743
1223670155468
1310534127c63
146c464aa33a
153a6e204b2e
hex211882c550

142145144144 has 80 divisors (see below), whose sum is σ = 292431432000. Its totient is φ = 66746115072.

The previous prime is 142145144131. The next prime is 142145144177. The reversal of 142145144144 is 441441541241.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24774044 + ... + 24779780.

It is an arithmetic number, because the mean of its divisors is an integer number (3655392900).

Almost surely, 2142145144144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142145144144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146215716000).

142145144144 is an abundant number, since it is smaller than the sum of its proper divisors (150286287856).

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

142145144144 is a wasteful number, since it uses less digits than its factorization.

142145144144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6460 (or 6454 counting only the distinct ones).

The product of its digits is 40960, while the sum is 35.

Adding to 142145144144 its reverse (441441541241), we get a palindrome (583586685385).

The spelling of 142145144144 in words is "one hundred forty-two billion, one hundred forty-five million, one hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 38 76 149 152 298 304 547 596 1094 1192 2188 2384 2831 4376 5662 5737 8752 10393 11324 11474 20786 22648 22948 41572 45296 45896 81503 83144 91792 109003 163006 166288 218006 326012 436012 652024 854813 872024 1304048 1548557 1709626 1744048 3097114 3138139 3419252 6194228 6276278 6838504 12388456 12552556 13677008 16241447 24776912 25105112 32482894 50210224 59624641 64965788 119249282 129931576 238498564 259863152 467582711 476997128 935165422 953994256 1870330844 3740661688 7481323376 8884071509 17768143018 35536286036 71072572072 142145144144