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1344001223344 = 241353325937409
BaseRepresentation
bin10011100011101100101…
…101110010101010110000
311202111002202102012021211
4103203230231302222300
5134010003303121334
62505231534325504
7166046413622353
oct23435455625260
94674082365254
101344001223344
11478a9571a58a
12198587359894
139997b109180
144909b30829a
1524e61d24a64
hex138ecb72ab0

1344001223344 has 80 divisors (see below), whose sum is σ = 2858174877600. Its totient is φ = 608401317888.

The previous prime is 1344001223287. The next prime is 1344001223371. The reversal of 1344001223344 is 4433221004431.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35908512 + ... + 35945920.

It is an arithmetic number, because the mean of its divisors is an integer number (35727185970).

Almost surely, 21344001223344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344001223344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429087438800).

1344001223344 is an abundant number, since it is smaller than the sum of its proper divisors (1514173654256).

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

1344001223344 is a wasteful number, since it uses less digits than its factorization.

1344001223344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40742 (or 40736 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 1344001223344 its reverse (4433221004431), we get a palindrome (5777222227775).

The spelling of 1344001223344 in words is "one trillion, three hundred forty-four billion, one million, two hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 208 212 424 689 848 1378 2756 3259 5512 6518 11024 13036 26072 37409 42367 52144 74818 84734 149636 169468 172727 299272 338936 345454 486317 598544 677872 690908 972634 1381816 1945268 1982677 2245451 2763632 3890536 3965354 4490902 7781072 7930708 8981804 15861416 17963608 25774801 31722832 35927216 51549602 103099204 121915931 206198408 243831862 412396816 487663724 975327448 1584907103 1950654896 3169814206 6339628412 6461544343 12679256824 12923088686 25358513648 25846177372 51692354744 84000076459 103384709488 168000152918 336000305836 672000611672 1344001223344