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1344302230000 = 24541097312251
BaseRepresentation
bin10011100011111110101…
…010000010100111110000
311202111212201210220210111
4103203332222002213300
5134011112332330000
62505321450111104
7166060030263652
oct23437652024760
94674781726714
101344302230000
1147912a621314
1219865011b494
13999c859a212
14490c92a06d2
1524e7d481cba
hex138fea829f0

1344302230000 has 100 divisors (see below), whose sum is σ = 3255252429528. Its totient is φ = 537628000000.

The previous prime is 1344302229973. The next prime is 1344302230003. The reversal of 1344302230000 is 322034431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344302230003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 109723875 + ... + 109736125.

Almost surely, 21344302230000 is an apocalyptic number.

1344302230000 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 1344302230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627626214764).

1344302230000 is an abundant number, since it is smaller than the sum of its proper divisors (1910950199528).

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

1344302230000 is a wasteful number, since it uses less digits than its factorization.

1344302230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23252 (or 23231 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 1344302230000 its reverse (322034431), we get a palindrome (1344624264431).

The spelling of 1344302230000 in words is "one trillion, three hundred forty-four billion, three hundred two million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 10973 12251 21946 24502 43892 49004 54865 61255 87784 98008 109730 122510 175568 196016 219460 245020 274325 306275 438920 490040 548650 612550 877840 980080 1097300 1225100 1371625 1531375 2194600 2450200 2743250 3062750 4389200 4900400 5486500 6125500 6858125 7656875 10973000 12251000 13716250 15313750 21946000 24502000 27432500 30627500 54865000 61255000 109730000 122510000 134430223 268860446 537720892 672151115 1075441784 1344302230 2150883568 2688604460 3360755575 5377208920 6721511150 10754417840 13443022300 16803777875 26886044600 33607555750 53772089200 67215111500 84018889375 134430223000 168037778750 268860446000 336075557500 672151115000 1344302230000