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144317430 = 23353731433
BaseRepresentation
bin10001001101000…
…01101111110110
3101001120002022000
420212201233312
5243421124210
622153120130
73401451345
oct1046415766
9331502260
10144317430
1174510904
12403b9046
1323b8c53a
1415249b5c
15ca0aac0
hex89a1bf6

144317430 has 64 divisors (see below), whose sum is σ = 386147520. Its totient is φ = 38354688.

The previous prime is 144317419. The next prime is 144317441. The reversal of 144317430 is 34713441.

It is an interprime number because it is at equal distance from previous prime (144317419) and next prime (144317441).

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

It is a junction number, because it is equal to n+sod(n) for n = 144317394 and 144317403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99994 + ... + 101426.

It is an arithmetic number, because the mean of its divisors is an integer number (6033555).

Almost surely, 2144317430 is an apocalyptic number.

144317430 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 144317430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193073760).

144317430 is an abundant number, since it is smaller than the sum of its proper divisors (241830090).

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

144317430 is a wasteful number, since it uses less digits than its factorization.

144317430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 144317430 is about 12013.2189691190. The cubic root of 144317430 is about 524.5331359777.

The spelling of 144317430 in words is "one hundred forty-four million, three hundred seventeen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 373 746 1119 1433 1865 2238 2866 3357 3730 4299 5595 6714 7165 8598 10071 11190 12897 14330 16785 20142 21495 25794 33570 38691 42990 50355 64485 77382 100710 128970 193455 386910 534509 1069018 1603527 2672545 3207054 4810581 5345090 8017635 9621162 14431743 16035270 24052905 28863486 48105810 72158715 144317430