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3140223456 = 253417910099
BaseRepresentation
bin1011101100101100…
…0000000111100000
322002211212212202110
42323023000013200
522412344122311
61235333515320
7140550313266
oct27313000740
98084785673
103140223456
1113716353a7
127377a2b40
133b076c4b6
1421b0a8436
15135a418a6
hexbb2c01e0

3140223456 has 96 divisors (see below), whose sum is σ = 8551872000. Its totient is φ = 1008184320.

The previous prime is 3140223431. The next prime is 3140223473. The reversal of 3140223456 is 6543220413.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×31402234562 = 19722006707225167872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305895 + ... + 315993.

It is an arithmetic number, because the mean of its divisors is an integer number (89082000).

Almost surely, 23140223456 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 3140223456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4275936000).

3140223456 is an abundant number, since it is smaller than the sum of its proper divisors (5411648544).

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

3140223456 is a wasteful number, since it uses less digits than its factorization.

3140223456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10232 (or 10224 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 3140223456 is about 56037.6967406763. The cubic root of 3140223456 is about 1464.3790860413.

Adding to 3140223456 its reverse (6543220413), we get a palindrome (9683443869).

The spelling of 3140223456 in words is "three billion, one hundred forty million, two hundred twenty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 79 82 96 123 158 164 237 246 316 328 474 492 632 656 948 984 1264 1312 1896 1968 2528 3239 3792 3936 6478 7584 9717 10099 12956 19434 20198 25912 30297 38868 40396 51824 60594 77736 80792 103648 121188 155472 161584 242376 310944 323168 414059 484752 797821 828118 969504 1242177 1595642 1656236 2393463 2484354 3191284 3312472 4786926 4968708 6382568 6624944 9573852 9937416 12765136 13249888 19147704 19874832 25530272 32710661 38295408 39749664 65421322 76590816 98131983 130842644 196263966 261685288 392527932 523370576 785055864 1046741152 1570111728 3140223456