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1428303144 = 233174637561
BaseRepresentation
bin101010100100010…
…0010110100101000
310200112121022120110
41111020202310220
510411121200034
6353421254320
750252243052
oct12510426450
93615538513
101428303144
11673270324
1233a4043a0
13199bab2b8
14d799c8d2
15855d5de9
hex55222d28

1428303144 has 64 divisors (see below), whose sum is σ = 3789469440. Its totient is φ = 447068160.

The previous prime is 1428303143. The next prime is 1428303187. The reversal of 1428303144 is 4413038241.

It is not an unprimeable number, because it can be changed into a prime (1428303143) 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, 185124 + ... + 192684.

It is an arithmetic number, because the mean of its divisors is an integer number (59210460).

Almost surely, 21428303144 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 1428303144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894734720).

1428303144 is an abundant number, since it is smaller than the sum of its proper divisors (2361166296).

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

1428303144 is a wasteful number, since it uses less digits than its factorization.

1428303144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8050 (or 8046 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 1428303144 is about 37792.8980629959. The cubic root of 1428303144 is about 1126.1773732127.

The spelling of 1428303144 in words is "one billion, four hundred twenty-eight million, three hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 463 926 1389 1852 2778 3704 5556 7561 7871 11112 15122 15742 22683 23613 30244 31484 45366 47226 60488 62968 90732 94452 128537 181464 188904 257074 385611 514148 771222 1028296 1542444 3084888 3500743 7001486 10502229 14002972 21004458 28005944 42008916 59512631 84017832 119025262 178537893 238050524 357075786 476101048 714151572 1428303144