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1344013340032 = 2711983971063
BaseRepresentation
bin10011100011101101011…
…100000000110110000000
311202111010121012210021001
4103203231130000312000
5134010014403340112
62505233050141344
7166046621616106
oct23435534006600
94674117183231
101344013340032
11478aa1545a80
1219858b421854
139998078c2cc
144909cb7dc76
1524e62e19c57
hex138ed700d80

1344013340032 has 64 divisors (see below), whose sum is σ = 2923912546560. Its totient is φ = 610293045760.

The previous prime is 1344013340003. The next prime is 1344013340057. The reversal of 1344013340032 is 2300433104431.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×13440133400322 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 898533 + ... + 1869595.

It is an arithmetic number, because the mean of its divisors is an integer number (45686133540).

Almost surely, 21344013340032 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 1344013340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461956273280).

1344013340032 is an abundant number, since it is smaller than the sum of its proper divisors (1579899206528).

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

1344013340032 is an equidigital number, since it uses as much as digits as its factorization.

1344013340032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972071 (or 972059 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 1344013340032 its reverse (2300433104431), we get a palindrome (3644446444463).

The spelling of 1344013340032 in words is "one trillion, three hundred forty-four billion, thirteen million, three hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 983 1408 1966 3932 7864 10813 15728 21626 31456 43252 62912 86504 125824 173008 346016 692032 971063 1384064 1942126 3884252 7768504 10681693 15537008 21363386 31074016 42726772 62148032 85453544 124296064 170907088 341814176 683628352 954554929 1367256704 1909109858 3818219716 7636439432 10500104219 15272878864 21000208438 30545757728 42000416876 61091515456 84000833752 122183030912 168001667504 336003335008 672006670016 1344013340032