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144109350 = 232527114159
BaseRepresentation
bin10001001011011…
…10111100100110
3101001011111212100
420211232330212
5243342444400
622144432530
73366623610
oct1045567446
9331144770
10144109350
1174389540
1240318746
1323b18908
14151d3db0
15c9b9100
hex896ef26

144109350 has 144 divisors (see below), whose sum is σ = 482826240. Its totient is φ = 29937600.

The previous prime is 144109349. The next prime is 144109367. The reversal of 144109350 is 53901441.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32571 + ... + 36729.

It is an arithmetic number, because the mean of its divisors is an integer number (3352960).

Almost surely, 2144109350 is an apocalyptic number.

144109350 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 144109350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241413120).

144109350 is an abundant number, since it is smaller than the sum of its proper divisors (338716890).

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

144109350 is a wasteful number, since it uses less digits than its factorization.

144109350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 144109350 is about 12004.5553853527. Note that the first 3 decimals coincide. The cubic root of 144109350 is about 524.2809203057.

The spelling of 144109350 in words is "one hundred forty-four million, one hundred nine thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 25 30 33 35 42 45 50 55 63 66 70 75 77 90 99 105 110 126 150 154 165 175 198 210 225 231 275 315 330 350 385 450 462 495 525 550 630 693 770 825 990 1050 1155 1386 1575 1650 1925 2310 2475 3150 3465 3850 4159 4950 5775 6930 8318 11550 12477 17325 20795 24954 29113 34650 37431 41590 45749 58226 62385 74862 87339 91498 103975 124770 137247 145565 174678 187155 207950 228745 262017 274494 291130 311925 320243 374310 411741 436695 457490 524034 623850 640486 686235 727825 823482 873390 935775 960729 1143725 1310085 1372470 1455650 1601215 1871550 1921458 2058705 2183475 2287450 2620170 2882187 3202430 3431175 4117410 4366950 4803645 5764374 6550425 6862350 8006075 9607290 10293525 13100850 14410935 16012150 20587050 24018225 28821870 48036450 72054675 144109350