Search a number
-
+
1430031993 = 3131712971663
BaseRepresentation
bin101010100111100…
…1000111001111001
310200122212011002220
41111033020321321
510412042010433
6353522314253
750303033325
oct12517107171
93618764086
101430031993
11674241225
1233aab8989
1319a3651a0
14d7ccc985
15858282b3
hex553c8e79

1430031993 has 32 divisors (see below), whose sum is σ = 2177150976. Its totient is φ = 827117568.

The previous prime is 1430031991. The next prime is 1430032003. The reversal of 1430031993 is 3991300341.

It is not a de Polignac number, because 1430031993 - 21 = 1430031991 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1430031991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 859080 + ... + 860742.

It is an arithmetic number, because the mean of its divisors is an integer number (68035968).

Almost surely, 21430031993 is an apocalyptic number.

1430031993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1430031993 is a deficient number, since it is larger than the sum of its proper divisors (747118983).

1430031993 is a wasteful number, since it uses less digits than its factorization.

1430031993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993.

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 1430031993 is about 37815.7638161653. The cubic root of 1430031993 is about 1126.6315731496.

The spelling of 1430031993 in words is "one billion, four hundred thirty million, thirty-one thousand, nine hundred ninety-three".

Divisors: 1 3 13 17 39 51 221 663 1297 1663 3891 4989 16861 21619 22049 28271 50583 64857 66147 84813 286637 367523 859911 1102569 2156911 6470733 28039843 36667487 84119529 110002461 476677331 1430031993