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1240444044 = 22357315881
BaseRepresentation
bin100100111101111…
…1010110010001100
310012110010002100000
41021323322302030
510020023202134
6323031004300
742511412640
oct11173726214
93173102300
101240444044
1158721aa74
122a7509690
13169cb5178
14baa5ac20
1573d78e99
hex49efac8c

1240444044 has 144 divisors (see below), whose sum is σ = 3836758016. Its totient is φ = 342921600.

The previous prime is 1240444043. The next prime is 1240444061. The reversal of 1240444044 is 4404440421.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1240443999 and 1240444017.

It is not an unprimeable number, because it can be changed into a prime (1240444043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207984 + ... + 213864.

Almost surely, 21240444044 is an apocalyptic number.

1240444044 is a gapful number since it is divisible by the number (14) 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 1240444044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918379008).

1240444044 is an abundant number, since it is smaller than the sum of its proper divisors (2596313972).

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

1240444044 is a wasteful number, since it uses less digits than its factorization.

1240444044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5938 (or 5924 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 1240444044 is about 35219.9381600820. The cubic root of 1240444044 is about 1074.4652957195.

Adding to 1240444044 its reverse (4404440421), we get a palindrome (5644884465).

It can be divided in two parts, 12404440 and 44, that added together give a square (12404484 = 35222).

The spelling of 1240444044 in words is "one billion, two hundred forty million, four hundred forty-four thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 81 84 93 108 124 126 162 186 189 217 243 252 279 324 372 378 434 486 558 567 651 756 837 868 972 1116 1134 1302 1674 1701 1953 2268 2511 2604 3348 3402 3906 5022 5859 5881 6804 7533 7812 10044 11718 11762 15066 17577 17643 23436 23524 30132 35154 35286 41167 52731 52929 70308 70572 82334 105462 105858 123501 158787 164668 182311 210924 211716 247002 317574 364622 370503 476361 494004 546933 635148 729244 741006 952722 1093866 1111509 1276177 1429083 1482012 1640799 1905444 2187732 2223018 2552354 2858166 3281598 3334527 3828531 4446036 4922397 5104708 5716332 6563196 6669054 7657062 9844794 10003581 11485593 13338108 14767191 15314124 19689588 20007162 22971186 29534382 34456779 40014324 44301573 45942372 59068764 68913558 88603146 103370337 137827116 177206292 206740674 310111011 413481348 620222022 1240444044