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3144331140 = 2235437915427
BaseRepresentation
bin1011101101101010…
…1010111110000100
322010010121120102220
42323122222332010
522414422044030
61240001532340
7140630242116
oct27332527604
98103546386
103144331140
111373990585
127390440b0
133b157a092
1421b8573b6
151360a3a10
hexbb6aaf84

3144331140 has 96 divisors (see below), whose sum is σ = 9123502080. Its totient is φ = 808569216.

The previous prime is 3144331087. The next prime is 3144331153. The reversal of 3144331140 is 411334413.

It is a self number, because there is not a number n which added to its sum of digits gives 3144331140.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196107 + ... + 211533.

It is an arithmetic number, because the mean of its divisors is an integer number (95036480).

Almost surely, 23144331140 is an apocalyptic number.

3144331140 is a gapful number since it is divisible by the number (30) 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 3144331140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4561751040).

3144331140 is an abundant number, since it is smaller than the sum of its proper divisors (5979170940).

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

3144331140 is a wasteful number, since it uses less digits than its factorization.

3144331140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15561 (or 15559 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3144331140 is about 56074.3358409175. The cubic root of 3144331140 is about 1465.0173193525.

Adding to 3144331140 its reverse (411334413), we get a palindrome (3555665553).

The spelling of 3144331140 in words is "three billion, one hundred forty-four million, three hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 79 86 129 158 172 215 237 258 316 395 430 474 516 645 790 860 948 1185 1290 1580 2370 2580 3397 4740 6794 10191 13588 15427 16985 20382 30854 33970 40764 46281 50955 61708 67940 77135 92562 101910 154270 185124 203820 231405 308540 462810 663361 925620 1218733 1326722 1990083 2437466 2653444 3316805 3656199 3980166 4874932 6093665 6633610 7312398 7960332 9950415 12187330 13267220 14624796 18280995 19900830 24374660 36561990 39801660 52405519 73123980 104811038 157216557 209622076 262027595 314433114 524055190 628866228 786082785 1048110380 1572165570 3144331140