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3143355072 = 2631113114487
BaseRepresentation
bin1011101101011011…
…1100101011000000
322010001202222112020
42323112330223000
522414144330242
61235525001440
7140616035334
oct27326745300
98101688466
103143355072
111373384210
12738853280
133b12c7a20
1421b6817c4
15135e5e6ec
hexbb5bcac0

3143355072 has 112 divisors (see below), whose sum is σ = 9770863872. Its totient is φ = 879252480.

The previous prime is 3143354999. The next prime is 3143355101. The reversal of 3143355072 is 2705533413.

It is a super-2 number, since 2×31433550722 = 19761362217336250368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29788 + ... + 84699.

It is an arithmetic number, because the mean of its divisors is an integer number (87239856).

Almost surely, 23143355072 is an apocalyptic number.

3143355072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3143355072 is an abundant number, since it is smaller than the sum of its proper divisors (6627508800).

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

3143355072 is a wasteful number, since it uses less digits than its factorization.

3143355072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114526 (or 114516 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 33.

The square root of 3143355072 is about 56065.6318255667. The cubic root of 3143355072 is about 1464.8657127044.

Adding to 3143355072 its reverse (2705533413), we get a palindrome (5848888485).

The spelling of 3143355072 in words is "three billion, one hundred forty-three million, three hundred fifty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 132 143 156 176 192 208 264 286 312 352 416 429 528 572 624 704 832 858 1056 1144 1248 1716 2112 2288 2496 3432 4576 6864 9152 13728 27456 114487 228974 343461 457948 686922 915896 1259357 1373844 1488331 1831792 2518714 2747688 2976662 3663584 3778071 4464993 5037428 5495376 5953324 7327168 7556142 8929986 10074856 10990752 11906648 15112284 16371641 17859972 20149712 21981504 23813296 30224568 32743282 35719944 40299424 47626592 49114923 60449136 65486564 71439888 80598848 95253184 98229846 120898272 130973128 142879776 196459692 241796544 261946256 285759552 392919384 523892512 785838768 1047785024 1571677536 3143355072