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10341135431640 = 23325134747013709
BaseRepresentation
bin1001011001111011101110…
…1101000011011111011000
31100121121021111201201110200
42112132323231003133120
52323412121132303030
633554352501142200
72115056655564036
oct226367355033730
940547244651420
1010341135431640
1133277183a3a12
1211b02213ba960
135a021b344710
1427a729561556
1512dee3b1cd60
hex967bbb437d8

10341135431640 has 192 divisors, whose sum is σ = 36964059350400. Its totient is φ = 2491350414336.

The previous prime is 10341135431623. The next prime is 10341135431647. The reversal of 10341135431640 is 4613453114301.

10341135431640 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 1 + 1 + 3 + 5 + 4 + 3 + 1 + 640 = 666.

It is a super-2 number, since 2×103411354316402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10341135431595 and 10341135431604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10341135431647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23286895 + ... + 23726814.

It is an arithmetic number, because the mean of its divisors is an integer number (192521142450).

Almost surely, 210341135431640 is an apocalyptic number.

10341135431640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10341135431640 is an abundant number, since it is smaller than the sum of its proper divisors (26622923918760).

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

10341135431640 is a wasteful number, since it uses less digits than its factorization.

10341135431640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47013786 (or 47013779 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 10341135431640 its reverse (4613453114301), we get a palindrome (14954588545941).

The spelling of 10341135431640 in words is "ten trillion, three hundred forty-one billion, one hundred thirty-five million, four hundred thirty-one thousand, six hundred forty".