Search a number
-
+
4002146412 = 22311101300191
BaseRepresentation
bin1110111010001011…
…1110100001101100
3101022220202002202220
43232202332201230
531144022141122
61501043515340
7201114453225
oct35642764154
911286662686
104002146412
11177411a920
12938388b50
134ba1c3694
1429d75224c
1518654b25c
hexee8be86c

4002146412 has 48 divisors (see below), whose sum is σ = 10288180224. Its totient is φ = 1200760000.

The previous prime is 4002146411. The next prime is 4002146413. The reversal of 4002146412 is 2146412004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4002146411) and next prime (4002146413).

It is not an unprimeable number, because it can be changed into a prime (4002146411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136764 + ... + 163427.

It is an arithmetic number, because the mean of its divisors is an integer number (214337088).

Almost surely, 24002146412 is an apocalyptic number.

It is an amenable number.

4002146412 is an abundant number, since it is smaller than the sum of its proper divisors (6286033812).

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

4002146412 is a wasteful number, since it uses less digits than its factorization.

4002146412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300310 (or 300308 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4002146412 is about 63262.5198043834. The cubic root of 4002146412 is about 1587.6849359188.

Adding to 4002146412 its reverse (2146412004), we get a palindrome (6148558416).

The spelling of 4002146412 in words is "four billion, two million, one hundred forty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3333 4444 6666 13332 300191 600382 900573 1200764 1801146 3302101 3602292 6604202 9906303 13208404 19812606 30319291 39625212 60638582 90957873 121277164 181915746 333512201 363831492 667024402 1000536603 1334048804 2001073206 4002146412