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3141413120 = 2852454229
BaseRepresentation
bin1011101100111110…
…0010100100000000
322002221010022200002
42323033202210000
522413200204440
61235415215132
7140563366556
oct27317424400
98087108602
103141413120
11137227819a
127380774a8
133b0a97b41
1421b2d7bd6
15135bc9115
hexbb3e2900

3141413120 has 36 divisors (see below), whose sum is σ = 7524669180. Its totient is φ = 1256564736.

The previous prime is 3141413113. The next prime is 3141413129. The reversal of 3141413120 is 213141413.

It can be written as a sum of positive squares in 2 ways, for example, as 1871773696 + 1269639424 = 43264^2 + 35632^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3141413092 and 3141413101.

It is not an unprimeable number, because it can be changed into a prime (3141413129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1225835 + ... + 1228394.

Almost surely, 23141413120 is an apocalyptic number.

It is an amenable number.

3141413120 is an abundant number, since it is smaller than the sum of its proper divisors (4383256060).

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

3141413120 is an equidigital number, since it uses as much as digits as its factorization.

3141413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454250 (or 2454236 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 3141413120 is about 56048.3105900615. The cubic root of 3141413120 is about 1464.5639878647.

Adding to 3141413120 its reverse (213141413), we get a palindrome (3354554533).

The spelling of 3141413120 in words is "three billion, one hundred forty-one million, four hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 2454229 4908458 9816916 12271145 19633832 24542290 39267664 49084580 78535328 98169160 157070656 196338320 314141312 392676640 628282624 785353280 1570706560 3141413120