Search a number
-
+
342503040000 = 2103541116217
BaseRepresentation
bin1001111101111101100…
…01011010010000000000
31012202001121220011121210
410332332301122100000
521102421234240000
6421202124450120
733513354543012
oct4767661322000
91182047804553
10342503040000
11122289045340
12564676a9940
13263b4636214
1412811d121b2
158d98cc2350
hex4fbec5a400

342503040000 has 440 divisors, whose sum is σ = 1244535846048. Its totient is φ = 83025920000.

The previous prime is 342503039987. The next prime is 342503040023. The reversal of 342503040000 is 40305243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (440).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21111892 + ... + 21128108.

Almost surely, 2342503040000 is an apocalyptic number.

342503040000 is a gapful number since it is divisible by the number (30) 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 342503040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622267923024).

342503040000 is an abundant number, since it is smaller than the sum of its proper divisors (902032806048).

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

342503040000 is a wasteful number, since it uses less digits than its factorization.

342503040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16271 (or 16238 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

Adding to 342503040000 its reverse (40305243), we get a palindrome (342543345243).

The spelling of 342503040000 in words is "three hundred forty-two billion, five hundred three million, forty thousand".