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5348140224 = 263716132467
BaseRepresentation
bin1001111101100011…
…00010010011000000
3111210201110200011120
410332301202103000
541423110441344
62242405112240
7246350304360
oct47661422300
914721420146
105348140224
1122a49819a9
1210530b8680
1367301341b
1438a4069a0
152147c4219
hex13ec624c0

5348140224 has 112 divisors (see below), whose sum is σ = 16188342528. Its totient is φ = 1526473728.

The previous prime is 5348140219. The next prime is 5348140261. The reversal of 5348140224 is 4220418435.

It is a tau number, because it is divible by the number of its divisors (112).

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, 2166639 + ... + 2169105.

Almost surely, 25348140224 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 5348140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8094171264).

5348140224 is an abundant number, since it is smaller than the sum of its proper divisors (10840202304).

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

5348140224 is a wasteful number, since it uses less digits than its factorization.

5348140224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4102 (or 4092 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 5348140224 is about 73130.9799195936. The cubic root of 5348140224 is about 1748.7763117730.

Adding to 5348140224 its reverse (4220418435), we get a palindrome (9568558659).

The spelling of 5348140224 in words is "five billion, three hundred forty-eight million, one hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1613 2467 3226 4839 4934 6452 7401 9678 9868 11291 12904 14802 17269 19356 19736 22582 25808 29604 33873 34538 38712 39472 45164 51616 51807 59208 67746 69076 77424 78944 90328 103232 103614 118416 135492 138152 154848 157888 180656 207228 236832 270984 276304 309696 361312 414456 473664 541968 552608 722624 828912 1083936 1105216 1657824 2167872 3315648 3979271 7958542 11937813 15917084 23875626 27854897 31834168 47751252 55709794 63668336 83564691 95502504 111419588 127336672 167129382 191005008 222839176 254673344 334258764 382010016 445678352 668517528 764020032 891356704 1337035056 1782713408 2674070112 5348140224