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3411144140 = 2252943913397
BaseRepresentation
bin1100101101010001…
…1110110111001100
322210201200002001212
43023110132313030
523441223103030
61322252353552
7150350150435
oct31324366714
98721602055
103411144140
1114a0558098
127b24758b8
134249283b1
1424506c48c
1514e709595
hexcb51edcc

3411144140 has 48 divisors (see below), whose sum is σ = 7427851200. Its totient is φ = 1314308352.

The previous prime is 3411144127. The next prime is 3411144151. The reversal of 3411144140 is 414411143.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247922 + ... + 261318.

It is an arithmetic number, because the mean of its divisors is an integer number (154746900).

Almost surely, 23411144140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3411144140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3713925600).

3411144140 is an abundant number, since it is smaller than the sum of its proper divisors (4016707060).

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

3411144140 is a wasteful number, since it uses less digits than its factorization.

3411144140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13874 (or 13872 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 3411144140 is about 58405.0009845047. Note that the first 3 decimals coincide. The cubic root of 3411144140 is about 1505.3356852119.

Adding to 3411144140 its reverse (414411143), we get a palindrome (3825555283).

The spelling of 3411144140 in words is "three billion, four hundred eleven million, one hundred forty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 439 580 878 1756 2195 4390 8780 12731 13397 25462 26794 50924 53588 63655 66985 127310 133970 254620 267940 388513 777026 1554052 1942565 3885130 5881283 7770260 11762566 23525132 29406415 58812830 117625660 170557207 341114414 682228828 852786035 1705572070 3411144140