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3144311010 = 2325109320521
BaseRepresentation
bin1011101101101010…
…0110000011100010
322010010120112211100
42323122212003202
522414420423020
61240001255230
7140630126331
oct27332460342
98103515740
103144311010
111373977445
12739034516
133b1570b79
1421b84dd18
1513609ca90
hexbb6a60e2

3144311010 has 48 divisors (see below), whose sum is σ = 8250236280. Its totient is φ = 830787840.

The previous prime is 3144311003. The next prime is 3144311011. The reversal of 3144311010 is 101134413.

3144311010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3140817849 + 3493161 = 56043^2 + 1869^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3144311011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150451 + ... + 170070.

Almost surely, 23144311010 is an apocalyptic number.

3144311010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3144311010 is an abundant number, since it is smaller than the sum of its proper divisors (5105925270).

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

3144311010 is a wasteful number, since it uses less digits than its factorization.

3144311010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320643 (or 320640 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3144311010 is about 56074.1563467521. The cubic root of 3144311010 is about 1465.0141930001.

Adding to 3144311010 its reverse (101134413), we get a palindrome (3245445423).

The spelling of 3144311010 in words is "three billion, one hundred forty-four million, three hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 109 218 327 545 654 981 1090 1635 1962 3270 4905 9810 320521 641042 961563 1602605 1923126 2884689 3205210 4807815 5769378 9615630 14423445 28846890 34936789 69873578 104810367 174683945 209620734 314431101 349367890 524051835 628862202 1048103670 1572155505 3144311010