Search a number
-
+
145024141296 = 2437938244763
BaseRepresentation
bin1000011100010000011…
…1001100011111110000
3111212022222111200221110
42013010013030133300
54334002140010141
6150342334353320
713322555601366
oct2070407143760
9455288450843
10145024141296
115656038a931
122413435b840
13108a2723c78
14703a9b5636
153b8bd45e16
hex21c41cc7f0

145024141296 has 40 divisors (see below), whose sum is σ = 379388058880. Its totient is φ = 47729462976.

The previous prime is 145024141291. The next prime is 145024141303. The reversal of 145024141296 is 692141420541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145024141291) 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 7 ways as a sum of consecutive naturals, for example, 19118590 + ... + 19126173.

It is an arithmetic number, because the mean of its divisors is an integer number (9484701472).

Almost surely, 2145024141296 is an apocalyptic number.

145024141296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145024141296 is an abundant number, since it is smaller than the sum of its proper divisors (234363917584).

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

145024141296 is a wasteful number, since it uses less digits than its factorization.

145024141296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38244853 (or 38244847 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 145024141296 in words is "one hundred forty-five billion, twenty-four million, one hundred forty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 632 948 1264 1896 3792 38244763 76489526 114734289 152979052 229468578 305958104 458937156 611916208 917874312 1835748624 3021336277 6042672554 9064008831 12085345108 18128017662 24170690216 36256035324 48341380432 72512070648 145024141296