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4445014440 = 23352910312401
BaseRepresentation
bin1000010001111000…
…11000100110101000
3102110210002010111110
410020330120212220
533100410430230
62013024030320
7215102666526
oct41074304650
912423063443
104445014440
111981105159
12a407623a0
1355ab94079
143024b5316
151b037b4b0
hex108f189a8

4445014440 has 128 divisors (see below), whose sum is σ = 13929926400. Its totient is φ = 1133260800.

The previous prime is 4445014423. The next prime is 4445014481. The reversal of 4445014440 is 444105444.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4445014398 and 4445014407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352240 + ... + 364640.

It is an arithmetic number, because the mean of its divisors is an integer number (108827550).

Almost surely, 24445014440 is an apocalyptic number.

4445014440 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 4445014440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6964963200).

4445014440 is an abundant number, since it is smaller than the sum of its proper divisors (9484911960).

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

4445014440 is a wasteful number, since it uses less digits than its factorization.

4445014440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12547 (or 12543 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

The square root of 4445014440 is about 66670.9414962771. The cubic root of 4445014440 is about 1644.2116663785.

Adding to 4445014440 its reverse (444105444), we get a palindrome (4889119884).

The spelling of 4445014440 in words is "four billion, four hundred forty-five million, fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 103 116 120 145 174 206 232 290 309 348 412 435 515 580 618 696 824 870 1030 1160 1236 1545 1740 2060 2472 2987 3090 3480 4120 5974 6180 8961 11948 12360 12401 14935 17922 23896 24802 29870 35844 37203 44805 49604 59740 62005 71688 74406 89610 99208 119480 124010 148812 179220 186015 248020 297624 358440 359629 372030 496040 719258 744060 1078887 1277303 1438516 1488120 1798145 2157774 2554606 2877032 3596290 3831909 4315548 5109212 5394435 6386515 7192580 7663818 8631096 10218424 10788870 12773030 14385160 15327636 19159545 21577740 25546060 30655272 37041787 38319090 43155480 51092120 74083574 76638180 111125361 148167148 153276360 185208935 222250722 296334296 370417870 444501444 555626805 740835740 889002888 1111253610 1481671480 2222507220 4445014440