Search a number
-
+
143286444 = 22327737789
BaseRepresentation
bin10001000101001…
…10000010101100
3100222121201001100
420202212002230
5243140131234
622115043100
73356625510
oct1042460254
9328551040
10143286444
1173977254
123bba0490
13238bb1a2
141505c140
15c8a5399
hex88a60ac

143286444 has 72 divisors (see below), whose sum is σ = 419662880. Its totient is φ = 40372992.

The previous prime is 143286439. The next prime is 143286463. The reversal of 143286444 is 444682341.

143286444 is a `hidden beast` number, since 1 + 4 + 3 + 2 + 8 + 644 + 4 = 666.

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 = 143286399 and 143286408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14502 + ... + 22290.

Almost surely, 2143286444 is an apocalyptic number.

143286444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 143286444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209831440).

143286444 is an abundant number, since it is smaller than the sum of its proper divisors (276376436).

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

143286444 is a wasteful number, since it uses less digits than its factorization.

143286444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7879 (or 7874 counting only the distinct ones).

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

The square root of 143286444 is about 11970.2315767073. The cubic root of 143286444 is about 523.2810829502.

The spelling of 143286444 in words is "one hundred forty-three million, two hundred eighty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 73 84 126 146 219 252 292 438 511 657 876 1022 1314 1533 2044 2628 3066 4599 6132 7789 9198 15578 18396 23367 31156 46734 54523 70101 93468 109046 140202 163569 218092 280404 327138 490707 568597 654276 981414 1137194 1705791 1962828 2274388 3411582 3980179 5117373 6823164 7960358 10234746 11940537 15920716 20469492 23881074 35821611 47762148 71643222 143286444