Search a number
-
+
144144001624540 = 22526832686246769
BaseRepresentation
bin100000110001100100100100…
…000000110110100111011100
3200220101000212022101201011211
4200301210210000312213130
5122343123403403441130
61230322501251354204
742235026506642311
oct4061444400664734
9626330768351154
10144144001624540
1141a241450aa775
12142000a65b2964
13625794b13b098
14278486d4b2d08
15119e7b265ea2a
hex8319240369dc

144144001624540 has 24 divisors (see below), whose sum is σ = 302815225888560. Its totient is φ = 57636110654208.

The previous prime is 144144001624477. The next prime is 144144001624541. The reversal of 144144001624540 is 45426100441441.

It is a junction number, because it is equal to n+sod(n) for n = 144144001624493 and 144144001624502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144144001624541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1343069725 + ... + 1343177044.

It is an arithmetic number, because the mean of its divisors is an integer number (12617301078690).

Almost surely, 2144144001624540 is an apocalyptic number.

144144001624540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144144001624540 is an abundant number, since it is smaller than the sum of its proper divisors (158671224264020).

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

144144001624540 is a wasteful number, since it uses less digits than its factorization.

144144001624540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686249461 (or 2686249459 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 40.

The spelling of 144144001624540 in words is "one hundred forty-four trillion, one hundred forty-four billion, one million, six hundred twenty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 2683 5366 10732 13415 26830 53660 2686246769 5372493538 10744987076 13431233845 26862467690 53724935380 7207200081227 14414400162454 28828800324908 36036000406135 72072000812270 144144001624540