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4444554444 = 223113110710151
BaseRepresentation
bin1000010001110101…
…01000010011001100
3102110202012202111120
410020322220103030
533100301220234
62013010120540
7215066042451
oct41072502314
912422182446
104444554444
1119809205a0
12a40580150
1355aa62895
143023d5828
151b02da049
hex108ea84cc

4444554444 has 96 divisors (see below), whose sum is σ = 11788664832. Its totient is φ = 1291080000.

The previous prime is 4444554397. The next prime is 4444554451.

4444554444 is nontrivially palindromic in base 10.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4444554396 and 4444554405.

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, 432769 + ... + 442919.

It is an arithmetic number, because the mean of its divisors is an integer number (122798592).

Almost surely, 24444554444 is an apocalyptic number.

4444554444 is a gapful number since it is divisible by the number (44) 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 4444554444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5894332416).

4444554444 is an abundant number, since it is smaller than the sum of its proper divisors (7344110388).

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

4444554444 is a wasteful number, since it uses less digits than its factorization.

4444554444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10307 (or 10305 counting only the distinct ones).

The product of its digits is 1638400, while the sum is 42.

The square root of 4444554444 is about 66667.4916582288. The cubic root of 4444554444 is about 1644.1549468867.

It can be divided in two parts, 44445 and 54444, that added together give a palindrome (98889).

The spelling of 4444554444 in words is "four billion, four hundred forty-four million, five hundred fifty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 107 124 132 186 214 321 341 372 428 642 682 1023 1177 1284 1364 2046 2354 3317 3531 4092 4708 6634 7062 9951 10151 13268 14124 19902 20302 30453 36487 39804 40604 60906 72974 109461 111661 121812 145948 218922 223322 314681 334983 437844 446644 629362 669966 944043 1086157 1258724 1339932 1888086 2172314 3258471 3461491 3776172 4344628 6516942 6922982 10384473 11947727 13033884 13845964 20768946 23895454 33670867 35843181 41537892 47790908 67341734 71686362 101012601 134683468 143372724 202025202 370379537 404050404 740759074 1111138611 1481518148 2222277222 4444554444