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1344621424410 = 23251110124155799
BaseRepresentation
bin10011100100010001101…
…011101010111100011010
311202112200222102200012200
4103210101223222330122
5134012241041040120
62505413251351030
7166100654345625
oct23442153527432
94675628380180
101344621424410
11479283815850
1219871abb2476
1399a49758854
144911982cdbc
1524e9b4d2e90
hex13911aeaf1a

1344621424410 has 192 divisors, whose sum is σ = 3867647097600. Its totient is φ = 321396480000.

The previous prime is 1344621424397. The next prime is 1344621424427. The reversal of 1344621424410 is 144241264431.

1344621424410 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 6 + 214 + 24 + 410 = 666.

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, 24069691 + ... + 24125489.

It is an arithmetic number, because the mean of its divisors is an integer number (20143995300).

Almost surely, 21344621424410 is an apocalyptic number.

1344621424410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344621424410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933823548800).

1344621424410 is an abundant number, since it is smaller than the sum of its proper divisors (2523025673190).

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

1344621424410 is a wasteful number, since it uses less digits than its factorization.

1344621424410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56165 (or 56162 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 1344621424410 its reverse (144241264431), we get a palindrome (1488862688841).

The spelling of 1344621424410 in words is "one trillion, three hundred forty-four billion, six hundred twenty-one million, four hundred twenty-four thousand, four hundred ten".