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144743368 = 237111983149
BaseRepresentation
bin10001010000010…
…01101111001000
3101002100201120111
420220021233020
5244023241433
622210204104
73405204220
oct1050115710
9332321514
10144743368
1174781920
1240583634
1323cab383
141531b080
15ca91dcd
hex8a09bc8

144743368 has 128 divisors (see below), whose sum is σ = 362880000. Its totient is φ = 52427520.

The previous prime is 144743323. The next prime is 144743411. The reversal of 144743368 is 863347441.

It is a self number, because there is not a number n which added to its sum of digits gives 144743368.

It is an unprimeable number.

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, 971358 + ... + 971506.

It is an arithmetic number, because the mean of its divisors is an integer number (2835000).

Almost surely, 2144743368 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 144743368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440000).

144743368 is an abundant number, since it is smaller than the sum of its proper divisors (218136632).

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

144743368 is a wasteful number, since it uses less digits than its factorization.

144743368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 271 counting only the distinct ones).

The product of its digits is 193536, while the sum is 40.

The square root of 144743368 is about 12030.9337958448. The cubic root of 144743368 is about 525.0486642721.

The spelling of 144743368 in words is "one hundred forty-four million, seven hundred forty-three thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 56 76 77 83 88 133 149 152 154 166 209 266 298 308 332 418 532 581 596 616 664 836 913 1043 1064 1162 1192 1463 1577 1639 1672 1826 2086 2324 2831 2926 3154 3278 3652 4172 4648 5662 5852 6308 6391 6556 7304 8344 11039 11324 11473 11704 12367 12616 12782 13112 17347 19817 22078 22648 22946 24734 25564 31141 34694 39634 44156 45892 49468 51128 62282 69388 79268 86569 88312 91784 98936 121429 124564 136037 138776 158536 173138 217987 234973 242858 249128 272074 346276 435974 469946 485716 544148 692552 871948 939892 952259 971432 1088296 1644811 1743896 1879784 1904518 2584703 3289622 3809036 5169406 6579244 7618072 10338812 13158488 18092921 20677624 36185842 72371684 144743368