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4441021056 = 273223167611
BaseRepresentation
bin1000010001011010…
…01001101010000000
3102110111120020121100
410020231021222000
533043400133211
62012402254400
7215024025153
oct41055115200
912414506540
104441021056
11197992793a
12a3b357400
1355a0c6514
14301b55c9a
151aed3d156
hex108b49a80

4441021056 has 96 divisors (see below), whose sum is σ = 13335210720. Its totient is φ = 1415969280.

The previous prime is 4441021051. The next prime is 4441021063. The reversal of 4441021056 is 6501201444.

4441021056 is a `hidden beast` number, since 4 + 441 + 0 + 210 + 5 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4441021051) by changing a digit.

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, 57310 + ... + 110301.

It is an arithmetic number, because the mean of its divisors is an integer number (138908445).

Almost surely, 24441021056 is an apocalyptic number.

4441021056 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

4441021056 is an abundant number, since it is smaller than the sum of its proper divisors (8894189664).

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

4441021056 is a wasteful number, since it uses less digits than its factorization.

4441021056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167654 (or 167639 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4441021056 is about 66640.9863072269. The cubic root of 4441021056 is about 1643.7191343585.

The spelling of 4441021056 in words is "four billion, four hundred forty-one million, twenty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 276 288 368 384 414 552 576 736 828 1104 1152 1472 1656 2208 2944 3312 4416 6624 8832 13248 26496 167611 335222 502833 670444 1005666 1340888 1508499 2011332 2681776 3016998 3855053 4022664 5363552 6033996 7710106 8045328 10727104 11565159 12067992 15420212 16090656 21454208 23130318 24135984 30840424 32181312 34695477 46260636 48271968 61680848 64362624 69390954 92521272 96543936 123361696 138781908 185042544 193087872 246723392 277563816 370085088 493446784 555127632 740170176 1110255264 1480340352 2220510528 4441021056