Search a number
-
+
1340340025200 = 2435211332330557
BaseRepresentation
bin10011100000010010011…
…111011011011101110000
311202010122121020001121120
4103200102133123131300
5133430004021301300
62503424350222240
7165556606143321
oct23402237333560
94663577201546
101340340025200
114774870021a0
121979251b4980
139951674c937
1448c30d88448
1524cea6c53a0
hex138127db770

1340340025200 has 240 divisors, whose sum is σ = 4685442005376. Its totient is φ = 324822502400.

The previous prime is 1340340025163. The next prime is 1340340025231. The reversal of 1340340025200 is 25200430431.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×13403400252002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 43848322 + ... + 43878878.

Almost surely, 21340340025200 is an apocalyptic number.

1340340025200 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 1340340025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342721002688).

1340340025200 is an abundant number, since it is smaller than the sum of its proper divisors (3345101980176).

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

1340340025200 is a wasteful number, since it uses less digits than its factorization.

1340340025200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33912 (or 33901 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 1340340025200 its reverse (25200430431), we get a palindrome (1365540455631).

The spelling of 1340340025200 in words is "one trillion, three hundred forty billion, three hundred forty million, twenty-five thousand, two hundred".