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4441245440 = 28519182617
BaseRepresentation
bin1000010001011100…
…00000011100000000
3102110111222122101212
410020232000130000
533043424323230
62012411145252
7215025651302
oct41056003400
912414878355
104441245440
111979a70485
12a3b445228
1355a1746a8
14301bb3972
151aed84895
hex108b80700

4441245440 has 72 divisors (see below), whose sum is σ = 11198135760. Its totient is φ = 1682989056.

The previous prime is 4441245437. The next prime is 4441245443. The reversal of 4441245440 is 445421444.

It is an interprime number because it is at equal distance from previous prime (4441245437) and next prime (4441245443).

It is a super-2 number, since 2×44412454402 = 39449322116641587200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4441245397 and 4441245406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4441245443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66989 + ... + 115628.

Almost surely, 24441245440 is an apocalyptic number.

4441245440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4441245440 is an abundant number, since it is smaller than the sum of its proper divisors (6756890320).

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

4441245440 is a wasteful number, since it uses less digits than its factorization.

4441245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182657 (or 182643 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 32.

The square root of 4441245440 is about 66642.6698144665. The cubic root of 4441245440 is about 1643.7468170362.

Adding to 4441245440 its reverse (445421444), we get a palindrome (4886666884).

The spelling of 4441245440 in words is "four billion, four hundred forty-one million, two hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 608 640 760 1216 1280 1520 2432 3040 4864 6080 12160 24320 182617 365234 730468 913085 1460936 1826170 2921872 3469723 3652340 5843744 6939446 7304680 11687488 13878892 14609360 17348615 23374976 27757784 29218720 34697230 46749952 55515568 58437440 69394460 111031136 116874880 138788920 222062272 233749760 277577840 444124544 555155680 888249088 1110311360 2220622720 4441245440