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1442144130 = 235716342131
BaseRepresentation
bin101010111110101…
…0101111110000010
310201111122111211120
41111331111332002
510423142103010
6355034053110
750511010560
oct12575257602
93644574746
101442144130
11680064259
12342b7a196
1319ca1622b
14d9762a30
158691be70
hex55f55f82

1442144130 has 64 divisors (see below), whose sum is σ = 3979957248. Its totient is φ = 327602880.

The previous prime is 1442144129. The next prime is 1442144147. The reversal of 1442144130 is 314412441.

It is a self number, because there is not a number n which added to its sum of digits gives 1442144130.

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, 13165 + ... + 55295.

It is an arithmetic number, because the mean of its divisors is an integer number (62186832).

Almost surely, 21442144130 is an apocalyptic number.

1442144130 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 1442144130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989978624).

1442144130 is an abundant number, since it is smaller than the sum of its proper divisors (2537813118).

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

1442144130 is a wasteful number, since it uses less digits than its factorization.

1442144130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42311.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1442144130 is about 37975.5728067399. The cubic root of 1442144130 is about 1129.8034299263.

Adding to 1442144130 its reverse (314412441), we get a palindrome (1756556571).

The spelling of 1442144130 in words is "one billion, four hundred forty-two million, one hundred forty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 163 210 326 489 815 978 1141 1630 2282 2445 3423 4890 5705 6846 11410 17115 34230 42131 84262 126393 210655 252786 294917 421310 589834 631965 884751 1263930 1474585 1769502 2949170 4423755 6867353 8847510 13734706 20602059 34336765 41204118 48071471 68673530 96142942 103010295 144214413 206020590 240357355 288428826 480714710 721072065 1442144130