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144836424 = 23341012213
BaseRepresentation
bin10001010001000…
…00011101001000
3101002112110020000
420220200131020
5244034231144
622212203000
73406042425
oct1050403510
9332473200
10144836424
1174835827
1240609460
1324011835
1415342d4c
15caae769
hex8a20748

144836424 has 80 divisors (see below), whose sum is σ = 409877820. Its totient is φ = 47779200.

The previous prime is 144836407. The next prime is 144836441. The reversal of 144836424 is 424638441.

144836424 is a `hidden beast` number, since 1 + 4 + 4 + 8 + 3 + 642 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (144836407) and next prime (144836441).

It can be written as a sum of positive squares in 2 ways, for example, as 92736900 + 52099524 = 9630^2 + 7218^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64342 + ... + 66554.

Almost surely, 2144836424 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 144836424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204938910).

144836424 is an abundant number, since it is smaller than the sum of its proper divisors (265041396).

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

144836424 is a wasteful number, since it uses less digits than its factorization.

144836424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2319 counting only the distinct ones).

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

The square root of 144836424 is about 12034.8005384385. The cubic root of 144836424 is about 525.1611586875.

The spelling of 144836424 in words is "one hundred forty-four million, eight hundred thirty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 101 108 162 202 216 303 324 404 606 648 808 909 1212 1818 2213 2424 2727 3636 4426 5454 6639 7272 8181 8852 10908 13278 16362 17704 19917 21816 26556 32724 39834 53112 59751 65448 79668 119502 159336 179253 223513 239004 358506 447026 478008 670539 717012 894052 1341078 1434024 1788104 2011617 2682156 4023234 5364312 6034851 8046468 12069702 16092936 18104553 24139404 36209106 48278808 72418212 144836424