Search a number
-
+
1414123002 = 233174213659
BaseRepresentation
bin101010001001001…
…1100110111111010
310122112220220002000
41110102130313322
510344003414002
6352153321430
750020563405
oct12422346772
93575826060
101414123002
116662655a6
12335706276
13196c84b96
14d5b4ad3c
158423461c
hex5449cdfa

1414123002 has 64 divisors (see below), whose sum is σ = 3336163200. Its totient is φ = 442471680.

The previous prime is 1414122979. The next prime is 1414123031. The reversal of 1414123002 is 2003214141.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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, 384649 + ... + 388307.

It is an arithmetic number, because the mean of its divisors is an integer number (52127550).

Almost surely, 21414123002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414123002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668081600).

1414123002 is an abundant number, since it is smaller than the sum of its proper divisors (1922040198).

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

1414123002 is a wasteful number, since it uses less digits than its factorization.

1414123002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4108 (or 4102 counting only the distinct ones).

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

The square root of 1414123002 is about 37604.8268444358. The cubic root of 1414123002 is about 1122.4380885260.

Adding to 1414123002 its reverse (2003214141), we get a palindrome (3417337143).

The spelling of 1414123002 in words is "one billion, four hundred fourteen million, one hundred twenty-three thousand, two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 421 459 842 918 1263 2526 3659 3789 7157 7318 7578 10977 11367 14314 21471 21954 22734 32931 42942 62203 64413 65862 98793 124406 128826 186609 193239 197586 373218 386478 559827 1119654 1540439 1679481 3080878 3358962 4621317 9242634 13863951 26187463 27727902 41591853 52374926 78562389 83183706 157124778 235687167 471374334 707061501 1414123002