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1244440120 = 2357111723767
BaseRepresentation
bin100101000101100…
…1010011000111000
310012201122002220211
41022023022120320
510022034040440
6323252400504
742560365210
oct11213123070
93181562824
101244440120
115894aa310
122a8916134
1316aa84001
14bb3bb240
15743b7eea
hex4a2ca638

1244440120 has 128 divisors (see below), whose sum is σ = 3696399360. Its totient is φ = 365045760.

The previous prime is 1244440039. The next prime is 1244440151. The reversal of 1244440120 is 210444421.

It is a super-2 number, since 2×12444401202 = 3097262424531228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1244440091 and 1244440100.

It is a congruent number.

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, 40477 + ... + 64243.

It is an arithmetic number, because the mean of its divisors is an integer number (28878120).

Almost surely, 21244440120 is an apocalyptic number.

1244440120 is a gapful number since it is divisible by the number (10) 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 1244440120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848199680).

1244440120 is an abundant number, since it is smaller than the sum of its proper divisors (2451959240).

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

1244440120 is a wasteful number, since it uses less digits than its factorization.

1244440120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23813 (or 23809 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 1244440120 is about 35276.6228542359. The cubic root of 1244440120 is about 1075.6178514228.

Adding to 1244440120 its reverse (210444421), we get a palindrome (1454884541).

It can be divided in two parts, 12444401 and 20, that added together give a palindrome (12444421).

The spelling of 1244440120 in words is "one billion, two hundred forty-four million, four hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 17 20 22 28 34 35 40 44 55 56 68 70 77 85 88 110 119 136 140 154 170 187 220 238 280 308 340 374 385 440 476 595 616 680 748 770 935 952 1190 1309 1496 1540 1870 2380 2618 3080 3740 4760 5236 6545 7480 10472 13090 23767 26180 47534 52360 95068 118835 166369 190136 237670 261437 332738 404039 475340 522874 665476 808078 831845 950680 1045748 1307185 1330952 1616156 1663690 1830059 2020195 2091496 2614370 2828273 3232312 3327380 3660118 4040390 4444429 5228740 5656546 6654760 7320236 8080780 8888858 9150295 10457480 11313092 14141365 14640472 16161560 17777716 18300590 22222145 22626184 28282730 31111003 35555432 36601180 44444290 56565460 62222006 73202360 88888580 113130920 124444012 155555015 177777160 248888024 311110030 622220060 1244440120