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1430400012 = 2235913714747
BaseRepresentation
bin101010101000010…
…0010110000001100
310200200112211221020
41111100202300030
510412140300022
6353534234140
750306125266
oct12520426014
93620484836
101430400012
11674472778
1233b055950
1319a463852
14d7d86b36
158589c35c
hex55422c0c

1430400012 has 48 divisors (see below), whose sum is σ = 3419176320. Its totient is φ = 465265792.

The previous prime is 1430399989. The next prime is 1430400019. The reversal of 1430400012 is 2100040341.

It is a junction number, because it is equal to n+sod(n) for n = 1430399964 and 1430400000.

It is not an unprimeable number, because it can be changed into a prime (1430400019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89623 + ... + 104369.

It is an arithmetic number, because the mean of its divisors is an integer number (71232840).

Almost surely, 21430400012 is an apocalyptic number.

1430400012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1430400012 is an abundant number, since it is smaller than the sum of its proper divisors (1988776308).

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

1430400012 is a wasteful number, since it uses less digits than its factorization.

1430400012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14950 (or 14948 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1430400012 is about 37820.6294500766. The cubic root of 1430400012 is about 1126.7282111419.

Adding to 1430400012 its reverse (2100040341), we get a palindrome (3530440353).

The spelling of 1430400012 in words is "one billion, four hundred thirty million, four hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 59 118 137 177 236 274 354 411 548 708 822 1644 8083 14747 16166 24249 29494 32332 44241 48498 58988 88482 96996 176964 870073 1740146 2020339 2610219 3480292 4040678 5220438 6061017 8081356 10440876 12122034 24244068 119200001 238400002 357600003 476800004 715200006 1430400012