Search a number
-
+
144220314 = 2375367967
BaseRepresentation
bin10001001100010…
…10000010011010
3101001101011002010
420212022002122
5243410022224
622151050350
73400565250
oct1046120232
9331334063
10144220314
1174454947
12403709b6
1323b57284
14152225d0
15c9dbe29
hex898a09a

144220314 has 64 divisors (see below), whose sum is σ = 341231616. Its totient is φ = 39783744.

The previous prime is 144220303. The next prime is 144220331. The reversal of 144220314 is 413022441.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 148659 + ... + 149625.

It is an arithmetic number, because the mean of its divisors is an integer number (5331744).

Almost surely, 2144220314 is an apocalyptic number.

144220314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144220314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170615808).

144220314 is an abundant number, since it is smaller than the sum of its proper divisors (197011302).

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

144220314 is a wasteful number, since it uses less digits than its factorization.

144220314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 144220314 is about 12009.1762415246. The cubic root of 144220314 is about 524.4154509764.

Adding to 144220314 its reverse (413022441), we get a palindrome (557242755).

The spelling of 144220314 in words is "one hundred forty-four million, two hundred twenty thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 53 67 106 134 159 201 318 371 402 469 742 938 967 1113 1407 1934 2226 2814 2901 3551 5802 6769 7102 10653 13538 20307 21306 24857 40614 49714 51251 64789 74571 102502 129578 149142 153753 194367 307506 358757 388734 453523 717514 907046 1076271 1360569 2152542 2721138 3433817 6867634 10301451 20602902 24036719 48073438 72110157 144220314