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1344322201420 = 2251129246115761
BaseRepresentation
bin10011100011111111110…
…110001110011101001100
311202111221010101120102201
4103203333312032131030
5134011132440421140
62505323442131244
7166060362113452
oct23437766163514
94674833346381
101344322201420
1147913a922120
12198656950b24
13999cc770623
14490cbbbc9d2
1524e800c949a
hex138ffd8e74c

1344322201420 has 144 divisors (see below), whose sum is σ = 3196700803296. Its totient is φ = 470934016000.

The previous prime is 1344322201373. The next prime is 1344322201499. The reversal of 1344322201420 is 241022234431.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85286340 + ... + 85302100.

It is an arithmetic number, because the mean of its divisors is an integer number (22199311134).

Almost surely, 21344322201420 is an apocalyptic number.

1344322201420 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 1344322201420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598350401648).

1344322201420 is an abundant number, since it is smaller than the sum of its proper divisors (1852378601876).

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

1344322201420 is a wasteful number, since it uses less digits than its factorization.

1344322201420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16300 (or 16269 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 1344322201420 its reverse (241022234431), we get a palindrome (1585344435851).

The spelling of 1344322201420 in words is "one trillion, three hundred forty-four billion, three hundred twenty-two million, two hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 461 580 638 841 922 1276 1595 1682 1844 2305 3190 3364 4205 4610 5071 6380 8410 9220 9251 10142 13369 15761 16820 18502 20284 25355 26738 31522 37004 46255 50710 53476 63044 66845 78805 92510 101420 133690 147059 157610 173371 185020 267380 294118 315220 346742 387701 457069 588236 693484 735295 775402 866855 914138 1470590 1550804 1733710 1828276 1938505 2285345 2941180 3467420 3877010 4264711 4570690 5027759 7265821 7754020 8529422 9141380 10055518 13255001 14531642 17058844 20111036 21323555 25138795 26510002 29063284 36329105 42647110 50277590 53020004 66275005 72658210 79924031 85294220 100555180 132550010 145316420 145805011 159848062 210708809 265100020 291610022 319696124 399620155 421417618 583220044 729025055 799240310 842835236 1053544045 1458050110 1598480620 2107088090 2317796899 2916100220 4214176180 4635593798 6110555461 9271187596 11588984495 12221110922 23177968990 24442221844 30552777305 46355937980 61105554610 67216110071 122211109220 134432220142 268864440284 336080550355 672161100710 1344322201420