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144838540 = 225711163577
BaseRepresentation
bin10001010001000…
…00111110001100
3101002112120010101
420220200332030
5244034313130
622212220444
73406051540
oct1050407614
9332476111
10144838540
1174837380
124060a724
13240127a2
1415343a20
15cab01ca
hex8a20f8c

144838540 has 96 divisors (see below), whose sum is σ = 382201344. Its totient is φ = 44789760.

The previous prime is 144838513. The next prime is 144838543. The reversal of 144838540 is 45838441.

It is a self number, because there is not a number n which added to its sum of digits gives 144838540.

It is not an unprimeable number, because it can be changed into a prime (144838543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250732 + ... + 251308.

It is an arithmetic number, because the mean of its divisors is an integer number (3981264).

Almost surely, 2144838540 is an apocalyptic number.

144838540 is a gapful number since it is divisible by the number (10) 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 144838540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191100672).

144838540 is an abundant number, since it is smaller than the sum of its proper divisors (237362804).

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

144838540 is a wasteful number, since it uses less digits than its factorization.

144838540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 144838540 is about 12034.8884498362. Note that the first 3 decimals coincide. The cubic root of 144838540 is about 525.1637161372.

Subtracting from 144838540 its reverse (45838441), we obtain a palindrome (99000099).

The spelling of 144838540 in words is "one hundred forty-four million, eight hundred thirty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 163 220 308 326 385 577 652 770 815 1141 1154 1540 1630 1793 2282 2308 2885 3260 3586 4039 4564 5705 5770 6347 7172 8078 8965 11410 11540 12551 12694 16156 17930 20195 22820 25102 25388 31735 35860 40390 44429 50204 62755 63470 80780 88858 94051 125510 126940 177716 188102 222145 251020 376204 444290 470255 658357 888580 940510 1034561 1316714 1881020 2069122 2633428 3291785 4138244 5172805 6583570 7241927 10345610 13167140 14483854 20691220 28967708 36209635 72419270 144838540