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3113041400 = 235273077243
BaseRepresentation
bin1011100110001101…
…0011110111111000
322000221201212222122
42321203103313320
522333414311100
61232523140412
7140100262310
oct27143236770
98027655878
103113041400
11135825a097
1272a674708
133a7c43041
14217630440
15133472985
hexb98d3df8

3113041400 has 96 divisors (see below), whose sum is σ = 8299885440. Its totient is φ = 1063704960.

The previous prime is 3113041391. The next prime is 3113041403. The reversal of 3113041400 is 41403113.

It is a super-2 number, since 2×31130414002 = 19382053516227920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3113041403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426179 + ... + 433421.

It is an arithmetic number, because the mean of its divisors is an integer number (86457140).

Almost surely, 23113041400 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 3113041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149942720).

3113041400 is an abundant number, since it is smaller than the sum of its proper divisors (5186844040).

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

3113041400 is a wasteful number, since it uses less digits than its factorization.

3113041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7573 (or 7564 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 3113041400 is about 55794.6359428933. The cubic root of 3113041400 is about 1460.1415700589.

Adding to 3113041400 its reverse (41403113), we get a palindrome (3154444513).

The spelling of 3113041400 in words is "three billion, one hundred thirteen million, forty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 307 350 614 700 1228 1400 1535 2149 2456 3070 4298 6140 7243 7675 8596 10745 12280 14486 15350 17192 21490 28972 30700 36215 42980 50701 53725 57944 61400 72430 85960 101402 107450 144860 181075 202804 214900 253505 289720 362150 405608 429800 507010 724300 1014020 1267525 1448600 2028040 2223601 2535050 4447202 5070100 8894404 10140200 11118005 15565207 17788808 22236010 31130414 44472020 55590025 62260828 77826035 88944040 111180050 124521656 155652070 222360100 311304140 389130175 444720200 622608280 778260350 1556520700 3113041400