Search a number
-
+
1430400411 = 3311353751
BaseRepresentation
bin101010101000010…
…0010110110011011
310200200112212111000
41111100202312123
510412140303121
6353534240043
750306126406
oct12520426633
93620485430
101430400411
11674473000
1233b056023
1319a463a9b
14d7d86d3d
158589c526
hex55422d9b

1430400411 has 64 divisors (see below), whose sum is σ = 2378004480. Its totient is φ = 849420000.

The previous prime is 1430400409. The next prime is 1430400431. The reversal of 1430400411 is 1140040341.

It is not a de Polignac number, because 1430400411 - 21 = 1430400409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1430400401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1904286 + ... + 1905036.

It is an arithmetic number, because the mean of its divisors is an integer number (37156320).

Almost surely, 21430400411 is an apocalyptic number.

1430400411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1430400411 is a deficient number, since it is larger than the sum of its proper divisors (947604069).

1430400411 is an equidigital number, since it uses as much as digits as its factorization.

1430400411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1430400411 is about 37820.6347249752. The cubic root of 1430400411 is about 1126.7283159062.

Adding to 1430400411 its reverse (1140040341), we get a palindrome (2570440752).

The spelling of 1430400411 in words is "one billion, four hundred thirty million, four hundred thousand, four hundred eleven".

Divisors: 1 3 9 11 27 33 53 99 121 159 297 363 477 583 751 1089 1331 1431 1749 2253 3267 3993 5247 6413 6759 8261 11979 15741 19239 20277 24783 35937 39803 57717 70543 74349 90871 119409 173151 211629 223047 272613 358227 437833 634887 817839 999581 1074681 1313499 1904661 2453517 2998743 3940497 4816163 8996229 11821491 14448489 26988687 43345467 52977793 130036401 158933379 476800137 1430400411