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144041856 = 2737411307
BaseRepresentation
bin10001001010111…
…10011110000000
3101001001002021120
420211132132000
5243333314411
622143152240
73366223050
oct1045363600
9331032246
10144041856
1174342862
12402a5680
1323ac3c8a
14151b7560
15c9a4106
hex895e780

144041856 has 128 divisors (see below), whose sum is σ = 448277760. Its totient is φ = 40120320.

The previous prime is 144041803. The next prime is 144041879. The reversal of 144041856 is 658140441.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109555 + ... + 110861.

It is an arithmetic number, because the mean of its divisors is an integer number (3502170).

Almost surely, 2144041856 is an apocalyptic number.

144041856 is a gapful number since it is divisible by the number (16) 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 144041856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224138880).

144041856 is an abundant number, since it is smaller than the sum of its proper divisors (304235904).

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

144041856 is a wasteful number, since it uses less digits than its factorization.

144041856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 144041856 is about 12001.7438732877. The cubic root of 144041856 is about 524.1990580665.

The spelling of 144041856 in words is "one hundred forty-four million, forty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 128 164 168 192 224 246 287 328 336 384 448 492 574 656 672 861 896 984 1148 1307 1312 1344 1722 1968 2296 2614 2624 2688 3444 3921 3936 4592 5228 5248 6888 7842 7872 9149 9184 10456 13776 15684 15744 18298 18368 20912 27447 27552 31368 36596 36736 41824 53587 54894 55104 62736 73192 83648 107174 109788 110208 125472 146384 160761 167296 214348 219576 250944 292768 321522 375109 428696 439152 501888 585536 643044 750218 857392 878304 1125327 1171072 1286088 1500436 1714784 1756608 2250654 2572176 3000872 3429568 3513216 4501308 5144352 6001744 6859136 9002616 10288704 12003488 18005232 20577408 24006976 36010464 48013952 72020928 144041856