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1442134120 = 235744911471
BaseRepresentation
bin101010111110101…
…0011100001101000
310201111122000002211
41111331103201220
510423141242440
6355033534504
750510636440
oct12575234150
93644560084
101442134120
11680057789
12342b74434
1319ca117cb
14d975d120
1586918eea
hex55f53868

1442134120 has 64 divisors (see below), whose sum is σ = 3716928000. Its totient is φ = 493301760.

The previous prime is 1442134103. The next prime is 1442134121. The reversal of 1442134120 is 214312441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1442134091 and 1442134100.

It is not an unprimeable number, because it can be changed into a prime (1442134121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119985 + ... + 131455.

It is an arithmetic number, because the mean of its divisors is an integer number (58077000).

Almost surely, 21442134120 is an apocalyptic number.

1442134120 is a gapful number since it is divisible by the number (10) 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 1442134120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1858464000).

1442134120 is an abundant number, since it is smaller than the sum of its proper divisors (2274793880).

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

1442134120 is a wasteful number, since it uses less digits than its factorization.

1442134120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11938 (or 11934 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1442134120 is about 37975.4410112641. The cubic root of 1442134120 is about 1129.8008159115.

Adding to 1442134120 its reverse (214312441), we get a palindrome (1656446561).

The spelling of 1442134120 in words is "one billion, four hundred forty-two million, one hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 449 898 1796 2245 3143 3592 4490 6286 8980 11471 12572 15715 17960 22942 25144 31430 45884 57355 62860 80297 91768 114710 125720 160594 229420 321188 401485 458840 642376 802970 1605940 3211880 5150479 10300958 20601916 25752395 36053353 41203832 51504790 72106706 103009580 144213412 180266765 206019160 288426824 360533530 721067060 1442134120