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1444442412020 = 225592101205421
BaseRepresentation
bin10101000001001111011…
…110100001001111110100
312010002100200020020121212
4111001033132201033310
5142131204224141040
63023322341500552
7206233425631256
oct25011736411764
95102320206555
101444442412020
115076480a3223
121b3b38a11758
13a629714baaa
144dca8bb1cd6
152788eb5bd65
hex1504f7a13f4

1444442412020 has 72 divisors (see below), whose sum is σ = 3116178609768. Its totient is φ = 562357792000.

The previous prime is 1444442412013. The next prime is 1444442412059. The reversal of 1444442412020 is 202142444441.

It can be written as a sum of positive squares in 4 ways, for example, as 767225335396 + 677217076624 = 875914^2 + 822932^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6928910 + ... + 7134330.

It is an arithmetic number, because the mean of its divisors is an integer number (43280258469).

Almost surely, 21444442412020 is an apocalyptic number.

1444442412020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444442412020 is an abundant number, since it is smaller than the sum of its proper divisors (1671736197748).

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

1444442412020 is a wasteful number, since it uses less digits than its factorization.

1444442412020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205649 (or 205588 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 1444442412020 its reverse (202142444441), we get a palindrome (1646584856461).

The spelling of 1444442412020 in words is "one trillion, four hundred forty-four billion, four hundred forty-two million, four hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 59 101 118 202 236 295 404 505 590 1010 1180 2020 3481 5959 6962 11918 13924 17405 23836 29795 34810 59590 69620 119180 205421 351581 410842 703162 821684 1027105 1406324 1757905 2054210 3515810 4108420 7031620 12119839 20747521 24239678 41495042 48479356 60599195 82990084 103737605 121198390 207475210 242396780 414950420 715070501 1224103739 1430141002 2448207478 2860282004 3575352505 4896414956 6120518695 7150705010 12241037390 14301410020 24482074780 72222120601 144444241202 288888482404 361110603005 722221206010 1444442412020