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4441031120 = 245195355127
BaseRepresentation
bin1000010001011010…
…01100000111010000
3102110111120202102002
410020231030013100
533043400443440
62012402413132
7215024066411
oct41055140720
912414522362
104441031120
111979934459
12a3b3611a8
1355a0cac86
14301b59808
151aed41115
hex108b4c1d0

4441031120 has 80 divisors (see below), whose sum is σ = 11074112640. Its totient is φ = 1651133952.

The previous prime is 4441031113. The next prime is 4441031141. The reversal of 4441031120 is 211301444.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4441031092 and 4441031101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52997 + ... + 108123.

It is an arithmetic number, because the mean of its divisors is an integer number (138426408).

Almost surely, 24441031120 is an apocalyptic number.

4441031120 is a gapful number since it is divisible by the number (40) 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 4441031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5537056320).

4441031120 is an abundant number, since it is smaller than the sum of its proper divisors (6633081520).

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

4441031120 is a wasteful number, since it uses less digits than its factorization.

4441031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55212 (or 55206 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4441031120 is about 66641.0618162706. The cubic root of 4441031120 is about 1643.7203759932.

Adding to 4441031120 its reverse (211301444), we get a palindrome (4652332564).

The spelling of 4441031120 in words is "four billion, four hundred forty-one million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 53 76 80 95 106 152 190 212 265 304 380 424 530 760 848 1007 1060 1520 2014 2120 4028 4240 5035 8056 10070 16112 20140 40280 55127 80560 110254 220508 275635 441016 551270 882032 1047413 1102540 2094826 2205080 2921731 4189652 4410160 5237065 5843462 8379304 10474130 11686924 14608655 16758608 20948260 23373848 29217310 41896520 46747696 55512889 58434620 83793040 111025778 116869240 222051556 233738480 277564445 444103112 555128890 888206224 1110257780 2220515560 4441031120