Search a number
-
+
3442411002030 = 23571113237238321
BaseRepresentation
bin110010000101111111101…
…011110101100010101110
3110012002110112121202221220
4302011333223311202232
5422400024204031110
611153231034404210
7503464103504250
oct62057753654256
913162415552856
103442411002030
111107a112a3680
124771b4590666
131bc80588c100
14bc88394bcd0
155e829620370
hex3217faf58ae

3442411002030 has 384 divisors, whose sum is σ = 11455196691456. Its totient is φ = 642434457600.

The previous prime is 3442411001987. The next prime is 3442411002061. The reversal of 3442411002030 is 302001142443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14325270 + ... + 14563590.

It is an arithmetic number, because the mean of its divisors is an integer number (29831241384).

Almost surely, 23442411002030 is an apocalyptic number.

3442411002030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3442411002030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5727598345728).

3442411002030 is an abundant number, since it is smaller than the sum of its proper divisors (8012785689426).

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

3442411002030 is a wasteful number, since it uses less digits than its factorization.

3442411002030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238412 (or 238399 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 3442411002030 its reverse (302001142443), we get a palindrome (3744412144473).

The spelling of 3442411002030 in words is "three trillion, four hundred forty-two billion, four hundred eleven million, two thousand, thirty".