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142444064 = 2571933469
BaseRepresentation
bin10000111110110…
…00011000100000
3100221000220112002
420133120120200
5242431202224
622045023132
73346516550
oct1037303040
9327026462
10142444064
1173451374
123b854aa8
1323684939
1414cbd160
15c78a9ae
hex87d8620

142444064 has 48 divisors (see below), whose sum is σ = 337377600. Its totient is φ = 57832704.

The previous prime is 142444051. The next prime is 142444069. The reversal of 142444064 is 460444241.

It is a super-2 number, since 2×1424440642 = 40580622737672192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (142444069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12479 + ... + 20990.

It is an arithmetic number, because the mean of its divisors is an integer number (7028700).

Almost surely, 2142444064 is an apocalyptic number.

142444064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

142444064 is an abundant number, since it is smaller than the sum of its proper divisors (194933536).

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

142444064 is a wasteful number, since it uses less digits than its factorization.

142444064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33505 (or 33497 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

The square root of 142444064 is about 11934.9932551301. The cubic root of 142444064 is about 522.2536115398.

The spelling of 142444064 in words is "one hundred forty-two million, four hundred forty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 33469 66938 133876 234283 267752 468566 535504 635911 937132 1071008 1271822 1874264 2543644 3748528 4451377 5087288 7497056 8902754 10174576 17805508 20349152 35611016 71222032 142444064