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144839744 = 2672711193
BaseRepresentation
bin10001010001000…
…01010001000000
3101002112121202222
420220201101000
5244034332434
622212230212
73406055210
oct1050412100
9332477688
10144839744
1174838275
124060b368
13240131ba
1415344240
15cab072e
hex8a21440

144839744 has 56 divisors (see below), whose sum is σ = 329964288. Its totient is φ = 61793280.

The previous prime is 144839743. The next prime is 144839791. The reversal of 144839744 is 447938441.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 144839695 and 144839704.

It is not an unprimeable number, because it can be changed into a prime (144839741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120812 + ... + 122004.

Almost surely, 2144839744 is an apocalyptic number.

144839744 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 144839744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164982144).

144839744 is an abundant number, since it is smaller than the sum of its proper divisors (185124544).

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

144839744 is a wasteful number, since it uses less digits than its factorization.

144839744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1473 counting only the distinct ones).

The product of its digits is 387072, while the sum is 44.

The square root of 144839744 is about 12034.9384709686. The cubic root of 144839744 is about 525.1651713101.

It can be divided in two parts, 1448397 and 44, that added together give a palindrome (1448441).

The spelling of 144839744 in words is "one hundred forty-four million, eight hundred thirty-nine thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 271 448 542 1084 1193 1897 2168 2386 3794 4336 4772 7588 8351 8672 9544 15176 16702 17344 19088 30352 33404 38176 60704 66808 76352 121408 133616 267232 323303 534464 646606 1293212 2263121 2586424 4526242 5172848 9052484 10345696 18104968 20691392 36209936 72419872 144839744