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144214332 = 2231719291283
BaseRepresentation
bin10001001100010…
…00100100111100
3101001100211212120
420212020210330
5243404324312
622151002540
73400541643
oct1046104474
9331324776
10144214332
11744503a9
1240369450
1323b54632
141522035a
15c9da28c
hex898893c

144214332 has 96 divisors (see below), whose sum is σ = 388281600. Its totient is φ = 41352192.

The previous prime is 144214331. The next prime is 144214333. The reversal of 144214332 is 233412441.

It is an interprime number because it is at equal distance from previous prime (144214331) and next prime (144214333).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144214331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111763 + ... + 113045.

It is an arithmetic number, because the mean of its divisors is an integer number (4044600).

Almost surely, 2144214332 is an apocalyptic number.

144214332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144214332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194140800).

144214332 is an abundant number, since it is smaller than the sum of its proper divisors (244067268).

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

144214332 is a wasteful number, since it uses less digits than its factorization.

144214332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1353 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 144214332 is about 12008.9271793945. The cubic root of 144214332 is about 524.4082002719.

Adding to 144214332 its reverse (233412441), we get a palindrome (377626773).

The spelling of 144214332 in words is "one hundred forty-four million, two hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 19 29 34 38 51 57 58 68 76 87 102 114 116 174 204 228 323 348 493 551 646 969 986 1102 1283 1292 1479 1653 1938 1972 2204 2566 2958 3306 3849 3876 5132 5916 6612 7698 9367 15396 18734 21811 24377 28101 37207 37468 43622 48754 56202 65433 73131 74414 87244 97508 111621 112404 130866 146262 148828 223242 261732 292524 414409 446484 632519 706933 828818 1243227 1265038 1413866 1657636 1897557 2120799 2486454 2530076 2827732 3795114 4241598 4972908 7590228 8483196 12017861 24035722 36053583 48071444 72107166 144214332