Search a number
-
+
1442355144 = 23353101103109
BaseRepresentation
bin101010111111000…
…1001011111001000
310201112001020021220
41111332021133020
510423220331034
6355042402040
750512550016
oct12576113710
93645036256
101442355144
1168019884a
12343060320
1319ca8b2a9
14d97b98b6
158695e749
hex55f897c8

1442355144 has 128 divisors (see below), whose sum is σ = 3780691200. Its totient is φ = 458265600.

The previous prime is 1442355143. The next prime is 1442355169. The reversal of 1442355144 is 4415532441.

1442355144 = 36912 + 36922 + ... + 37932.

It is a happy number.

It is a super-2 number, since 2×14423551442 = 4160776722846521472, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1442355143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13232562 + ... + 13232670.

It is an arithmetic number, because the mean of its divisors is an integer number (29536650).

Almost surely, 21442355144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442355144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890345600).

1442355144 is an abundant number, since it is smaller than the sum of its proper divisors (2338336056).

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

1442355144 is a wasteful number, since it uses less digits than its factorization.

1442355144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 371 counting only the distinct ones).

The product of its digits is 38400, while the sum is 33.

The square root of 1442355144 is about 37978.3509910581. The cubic root of 1442355144 is about 1129.8585313800.

Adding to 1442355144 its reverse (4415532441), we get a palindrome (5857887585).

The spelling of 1442355144 in words is "one billion, four hundred forty-two million, three hundred fifty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 53 101 103 106 109 159 202 206 212 218 303 309 318 327 404 412 424 436 606 618 636 654 808 824 872 1212 1236 1272 1308 2424 2472 2616 5353 5459 5777 10403 10706 10918 11009 11227 11554 16059 16377 17331 20806 21412 21836 22018 22454 23108 31209 32118 32754 33027 33681 34662 41612 42824 43672 44036 44908 46216 62418 64236 65508 66054 67362 69324 83224 88072 89816 124836 128472 131016 132108 134724 138648 249672 264216 269448 551359 583477 595031 1102718 1133927 1166954 1190062 1654077 1750431 1785093 2205436 2267854 2333908 2380124 3308154 3401781 3500862 3570186 4410872 4535708 4667816 4760248 6616308 6803562 7001724 7140372 9071416 13232616 13607124 14003448 14280744 27214248 60098131 120196262 180294393 240392524 360588786 480785048 721177572 1442355144