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1442027136 = 273112314843
BaseRepresentation
bin101010111110011…
…1001011010000000
310201111102120100110
41111330321122000
510423124332021
6355031351320
750510012514
oct12574713200
93644376313
101442027136
1167aa94370
12342b22540
1319c9a4bc4
14d9732144
15868e7476
hex55f39680

1442027136 has 128 divisors (see below), whose sum is σ = 4360573440. Its totient is φ = 417950720.

The previous prime is 1442027107. The next prime is 1442027161. The reversal of 1442027136 is 6317202441.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89731 + ... + 104573.

It is an arithmetic number, because the mean of its divisors is an integer number (34066980).

Almost surely, 21442027136 is an apocalyptic number.

1442027136 is a gapful number since it is divisible by the number (16) 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 1442027136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180286720).

1442027136 is an abundant number, since it is smaller than the sum of its proper divisors (2918546304).

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

1442027136 is a wasteful number, since it uses less digits than its factorization.

1442027136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14894 (or 14882 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 1442027136 is about 37974.0323905692. The cubic root of 1442027136 is about 1129.7728773173.

Adding to 1442027136 its reverse (6317202441), we get a palindrome (7759229577).

The spelling of 1442027136 in words is "one billion, four hundred forty-two million, twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 128 132 138 176 184 192 253 264 276 352 368 384 506 528 552 704 736 759 1012 1056 1104 1408 1472 1518 2024 2112 2208 2944 3036 4048 4224 4416 6072 8096 8832 12144 14843 16192 24288 29686 32384 44529 48576 59372 89058 97152 118744 163273 178116 237488 326546 341389 356232 474976 489819 653092 682778 712464 949952 979638 1024167 1306184 1365556 1424928 1899904 1959276 2048334 2612368 2731112 2849856 3755279 3918552 4096668 5224736 5462224 5699712 7510558 7837104 8193336 10449472 10924448 11265837 15021116 15674208 16386672 20898944 21848896 22531674 30042232 31348416 32773344 43697792 45063348 60084464 62696832 65546688 90126696 120168928 131093376 180253392 240337856 360506784 480675712 721013568 1442027136