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1430002112 = 26711439661
BaseRepresentation
bin101010100111100…
…0001100111000000
310200122210122010012
41111033001213000
510412040031422
6353521524052
750302550240
oct12517014700
93618718105
101430002112
11674220830
1233aaa3628
1319a3546c6
14d7cc1b20
158581e4e2
hex553c19c0

1430002112 has 112 divisors (see below), whose sum is σ = 3551285760. Its totient is φ = 555033600.

The previous prime is 1430002087. The next prime is 1430002139. The reversal of 1430002112 is 2112000341.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2163062 + ... + 2163722.

Almost surely, 21430002112 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 1430002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775642880).

1430002112 is an abundant number, since it is smaller than the sum of its proper divisors (2121283648).

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

1430002112 is a wasteful number, since it uses less digits than its factorization.

1430002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1430002112 is about 37815.3687275425. The cubic root of 1430002112 is about 1126.6237259796.

Adding to 1430002112 its reverse (2112000341), we get a palindrome (3542002453).

The spelling of 1430002112 in words is "one billion, four hundred thirty million, two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 439 448 616 661 704 878 1232 1322 1756 2464 2644 3073 3512 4627 4829 4928 5288 6146 7024 7271 9254 9658 10576 12292 14048 14542 18508 19316 21152 24584 28096 29084 33803 37016 38632 42304 49168 50897 58168 67606 74032 77264 98336 101794 116336 135212 148064 154528 196672 203588 232672 270424 290179 296128 309056 407176 465344 540848 580358 814352 1081696 1160716 1628704 2031253 2163392 2321432 3191969 3257408 4062506 4642864 6383938 8125012 9285728 12767876 16250024 18571456 22343783 25535752 32500048 44687566 51071504 65000096 89375132 102143008 130000192 178750264 204286016 357500528 715001056 1430002112