Search a number
-
+
10404212232414 = 23721113619399793
BaseRepresentation
bin1001011101100110101101…
…0111111101000011011110
31100211122002102212012102010
42113121223113331003132
52330430311312414124
634043343520012050
72122452035544300
oct227315327750336
940748072765363
1010404212232414
113351446627a30
1212004a5761026
135a6161366280
1427d7d08cd970
15130986535529
hex9766b5fd0de

10404212232414 has 192 divisors, whose sum is σ = 28483499439360. Its totient is φ = 2490480276480.

The previous prime is 10404212232377. The next prime is 10404212232433. The reversal of 10404212232414 is 41423221240401.

It is a super-2 number, since 2×104042122324142 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25824102 + ... + 26223894.

It is an arithmetic number, because the mean of its divisors is an integer number (148351559580).

Almost surely, 210404212232414 is an apocalyptic number.

10404212232414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10404212232414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14241749719680).

10404212232414 is an abundant number, since it is smaller than the sum of its proper divisors (18079287206946).

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

10404212232414 is a wasteful number, since it uses less digits than its factorization.

10404212232414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400455 (or 400448 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 10404212232414 its reverse (41423221240401), we get a palindrome (51827433472815).

The spelling of 10404212232414 in words is "ten trillion, four hundred four billion, two hundred twelve million, two hundred thirty-two thousand, four hundred fourteen".