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4444043328 = 263214995147
BaseRepresentation
bin1000010001110001…
…01011100001000000
3102110201020210101100
410020320223201000
533100133341303
62012551134400
7215061513354
oct41070534100
912421223340
104444043328
11198060158a
12a40374400
1355a91404a
14302301464
151b02388a3
hex108e2b840

4444043328 has 84 divisors (see below), whose sum is σ = 12749022000. Its totient is φ = 1480071936.

The previous prime is 4444043297. The next prime is 4444043333. The reversal of 4444043328 is 8233404444.

It is a super-2 number, since 2×44440433282 = 39499042202282631168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4444043292 and 4444043301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 860851 + ... + 865997.

Almost surely, 24444043328 is an apocalyptic number.

4444043328 is a gapful number since it is divisible by the number (48) 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 4444043328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374511000).

4444043328 is an abundant number, since it is smaller than the sum of its proper divisors (8304978672).

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

4444043328 is a wasteful number, since it uses less digits than its factorization.

4444043328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6664 (or 6651 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The square root of 4444043328 is about 66663.6582254529. The cubic root of 4444043328 is about 1644.0919194880.

The spelling of 4444043328 in words is "four billion, four hundred forty-four million, forty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1499 2998 4497 5147 5996 8994 10294 11992 13491 15441 17988 20588 23984 26982 30882 35976 41176 46323 47968 53964 61764 71952 82352 92646 95936 107928 123528 143904 164704 185292 215856 247056 287808 329408 370584 431712 494112 741168 863424 988224 1482336 2964672 7715353 15430706 23146059 30861412 46292118 61722824 69438177 92584236 123445648 138876354 185168472 246891296 277752708 370336944 493782592 555505416 740673888 1111010832 1481347776 2222021664 4444043328