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144541530 = 23357312467
BaseRepresentation
bin10001001110110…
…00011101011010
3101001222110201000
420213120131122
5244000312110
622202005430
73403403610
oct1047303532
9331873630
10144541530
1174654211
12404a6876
1323c3a543
14152a76b0
15ca521c0
hex89d875a

144541530 has 128 divisors (see below), whose sum is σ = 454901760. Its totient is φ = 31959360.

The previous prime is 144541517. The next prime is 144541559. The reversal of 144541530 is 35145441.

It is a happy number.

144541530 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 144541494 and 144541503.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57357 + ... + 59823.

It is an arithmetic number, because the mean of its divisors is an integer number (3553920).

Almost surely, 2144541530 is an apocalyptic number.

144541530 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 144541530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227450880).

144541530 is an abundant number, since it is smaller than the sum of its proper divisors (310360230).

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

144541530 is a wasteful number, since it uses less digits than its factorization.

144541530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2521 (or 2515 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 144541530 is about 12022.5425763438. The cubic root of 144541530 is about 524.8044986361.

Adding to 144541530 its reverse (35145441), we get a palindrome (179686971).

The spelling of 144541530 in words is "one hundred forty-four million, five hundred forty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 31 35 42 45 54 62 63 70 90 93 105 126 135 155 186 189 210 217 270 279 310 315 378 434 465 558 630 651 837 930 945 1085 1302 1395 1674 1890 1953 2170 2467 2790 3255 3906 4185 4934 5859 6510 7401 8370 9765 11718 12335 14802 17269 19530 22203 24670 29295 34538 37005 44406 51807 58590 66609 74010 76477 86345 103614 111015 133218 152954 155421 172690 222030 229431 259035 310842 333045 382385 458862 466263 518070 535339 666090 688293 764770 777105 932526 1070678 1147155 1376586 1554210 1606017 2064879 2294310 2331315 2676695 3212034 3441465 4129758 4662630 4818051 5353390 6882930 8030085 9636102 10324395 14454153 16060170 20648790 24090255 28908306 48180510 72270765 144541530