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144314190 = 233517231367
BaseRepresentation
bin10001001101000…
…00111101001110
3101001112220212000
420212200331032
5243421023230
622153053130
73401436036
oct1046407516
9331486760
10144314190
1174509429
12403b71a6
1323b8ac17
14152488c6
15ca09b60
hex89a0f4e

144314190 has 128 divisors (see below), whose sum is σ = 425502720. Its totient is φ = 34619904.

The previous prime is 144314189. The next prime is 144314201. The reversal of 144314190 is 91413441.

It is a super-2 number, since 2×1443141902 = 41653170870712200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104887 + ... + 106253.

It is an arithmetic number, because the mean of its divisors is an integer number (3324240).

Almost surely, 2144314190 is an apocalyptic number.

144314190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144314190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212751360).

144314190 is an abundant number, since it is smaller than the sum of its proper divisors (281188530).

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

144314190 is a wasteful number, since it uses less digits than its factorization.

144314190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 144314190 is about 12013.0841169119. The cubic root of 144314190 is about 524.5292106028.

The spelling of 144314190 in words is "one hundred forty-four million, three hundred fourteen thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 23 27 30 34 45 46 51 54 69 85 90 102 115 135 138 153 170 207 230 255 270 306 345 391 414 459 510 621 690 765 782 918 1035 1173 1242 1367 1530 1955 2070 2295 2346 2734 3105 3519 3910 4101 4590 5865 6210 6835 7038 8202 10557 11730 12303 13670 17595 20505 21114 23239 24606 31441 35190 36909 41010 46478 52785 61515 62882 69717 73818 94323 105570 116195 123030 139434 157205 184545 188646 209151 232390 282969 314410 348585 369090 418302 471615 534497 565938 627453 697170 848907 943230 1045755 1068994 1254906 1414845 1603491 1697814 2091510 2672485 2829690 3137265 3206982 4244535 4810473 5344970 6274530 8017455 8489070 9620946 14431419 16034910 24052365 28862838 48104730 72157095 144314190