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144233041428 = 22327572353339
BaseRepresentation
bin1000011001010011110…
…1011000111000010100
3111210021211220122221100
42012110331120320110
54330342124311203
6150132034350100
713264141423650
oct2062475307024
9453254818840
10144233041428
1156194878893
1223b5342b330
13107a7869138
146da38c5a60
153b4267aea3
hex2194f58e14

144233041428 has 36 divisors (see below), whose sum is σ = 416673231520. Its totient is φ = 41209440336.

The previous prime is 144233041427. The next prime is 144233041453. The reversal of 144233041428 is 824140332441.

144233041428 is a `hidden beast` number, since 1 + 4 + 4 + 233 + 0 + 414 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144233041392 and 144233041401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144233041427) 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 11 ways as a sum of consecutive naturals, for example, 286176418 + ... + 286176921.

Almost surely, 2144233041428 is an apocalyptic number.

144233041428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

144233041428 is an abundant number, since it is smaller than the sum of its proper divisors (272440190092).

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

144233041428 is a wasteful number, since it uses less digits than its factorization.

144233041428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572353356 (or 572353351 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 144233041428 its reverse (824140332441), we get a palindrome (968373373869).

The spelling of 144233041428 in words is "one hundred forty-four billion, two hundred thirty-three million, forty-one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 572353339 1144706678 1717060017 2289413356 3434120034 4006473373 5151180051 6868240068 8012946746 10302360102 12019420119 16025893492 20604720204 24038840238 36058260357 48077680476 72116520714 144233041428