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1442241320 = 235135095449
BaseRepresentation
bin101010111110110…
…1101101100101000
310201111211110011012
41111331231230220
510423203210240
6355040123052
750511564122
oct12575555450
93644743135
101442241320
11680120283
12343006488
1319ca4b540
14d978a212
158693ab65
hex55f6db28

1442241320 has 64 divisors (see below), whose sum is σ = 3502170000. Its totient is φ = 531376128.

The previous prime is 1442241277. The next prime is 1442241323. The reversal of 1442241320 is 231422441.

It can be written as a sum of positive squares in 8 ways, for example, as 283383556 + 1158857764 = 16834^2 + 34042^2 .

It is not an unprimeable number, because it can be changed into a prime (1442241323) 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, 261956 + ... + 267404.

Almost surely, 21442241320 is an apocalyptic number.

1442241320 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 1442241320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751085000).

1442241320 is an abundant number, since it is smaller than the sum of its proper divisors (2059928680).

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

1442241320 is a wasteful number, since it uses less digits than its factorization.

1442241320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5982 (or 5978 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 1442241320 is about 37976.8524235487. The cubic root of 1442241320 is about 1129.8288095275.

Adding to 1442241320 its reverse (231422441), we get a palindrome (1673663761).

The spelling of 1442241320 in words is "one billion, four hundred forty-two million, two hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 509 520 1018 2036 2545 4072 5090 5449 6617 10180 10898 13234 20360 21796 26468 27245 33085 43592 52936 54490 66170 70837 108980 132340 141674 217960 264680 283348 354185 566696 708370 1416740 2773541 2833480 5547082 11094164 13867705 22188328 27735410 36056033 55470820 72112066 110941640 144224132 180280165 288448264 360560330 721120660 1442241320