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144231030 = 23454143101
BaseRepresentation
bin10001001100011…
…00101001110110
3101001101200210000
420212030221312
5243410343110
622151212130
73400641426
oct1046145166
9331350700
10144231030
11744619a9
1240377046
1323b5c108
1415226486
15c9e01c0
hex898ca76

144231030 has 160 divisors (see below), whose sum is σ = 410544288. Its totient is φ = 36288000.

The previous prime is 144230993. The next prime is 144231037. The reversal of 144231030 is 30132441.

It is a super-3 number, since 3×1442310303 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 144230994 and 144231012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144231037) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1427980 + ... + 1428080.

Almost surely, 2144231030 is an apocalyptic number.

144231030 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 144231030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205272144).

144231030 is an abundant number, since it is smaller than the sum of its proper divisors (266313258).

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

144231030 is a wasteful number, since it uses less digits than its factorization.

144231030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 144231030 is about 12009.6223920655. The cubic root of 144231030 is about 524.4284391994.

Adding to 144231030 its reverse (30132441), we get a palindrome (174363471).

The spelling of 144231030 in words is "one hundred forty-four million, two hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 43 45 54 81 82 86 90 101 123 129 135 162 202 205 215 246 258 270 303 369 387 405 410 430 505 606 615 645 738 774 810 909 1010 1107 1161 1230 1290 1515 1763 1818 1845 1935 2214 2322 2727 3030 3321 3483 3526 3690 3870 4141 4343 4545 5289 5454 5535 5805 6642 6966 8181 8282 8686 8815 9090 10578 11070 11610 12423 13029 13635 15867 16362 16605 17415 17630 20705 21715 24846 26058 26445 27270 31734 33210 34830 37269 39087 40905 41410 43430 47601 52890 62115 65145 74538 78174 79335 81810 95202 111807 117261 124230 130290 142803 158670 178063 186345 195435 223614 234522 238005 285606 335421 351783 356126 372690 390870 476010 534189 559035 586305 670842 703566 714015 890315 1068378 1118070 1172610 1428030 1602567 1677105 1758915 1780630 2670945 3205134 3354210 3517830 4807701 5341890 8012835 9615402 14423103 16025670 24038505 28846206 48077010 72115515 144231030