Search a number
-
+
1416012012 = 22321913115803
BaseRepresentation
bin101010001100110…
…1010000011101100
310122200110212022100
41110121222003230
510344444341022
6352302015100
750042621622
oct12431520354
93580425270
101416012012
11667335868
12336277490
1319749693c
14d60bd512
15844a91ac
hex5466a0ec

1416012012 has 72 divisors (see below), whose sum is σ = 3796752960. Its totient is φ = 443720160.

The previous prime is 1416012007. The next prime is 1416012023. The reversal of 1416012012 is 2102106141.

1416012012 is a `hidden beast` number, since 1 + 41 + 601 + 20 + 1 + 2 = 666.

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

1416012012 is a modest number, since divided by 12012 gives 1416 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81703 + ... + 97505.

It is an arithmetic number, because the mean of its divisors is an integer number (52732680).

Almost surely, 21416012012 is an apocalyptic number.

1416012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1416012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898376480).

1416012012 is an abundant number, since it is smaller than the sum of its proper divisors (2380740948).

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

1416012012 is a wasteful number, since it uses less digits than its factorization.

1416012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15963 (or 15958 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1416012012 is about 37629.9350517643. The cubic root of 1416012012 is about 1122.9376568948.

Adding to 1416012012 its reverse (2102106141), we get a palindrome (3518118153).

The spelling of 1416012012 in words is "one billion, four hundred sixteen million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 131 171 228 262 342 393 524 684 786 1179 1572 2358 2489 4716 4978 7467 9956 14934 15803 22401 29868 31606 44802 47409 63212 89604 94818 142227 189636 284454 300257 568908 600514 900771 1201028 1801542 2070193 2702313 3603084 4140386 5404626 6210579 8280772 10809252 12421158 18631737 24842316 37263474 39333667 74526948 78667334 118001001 157334668 236002002 354003003 472004004 708006006 1416012012