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13433322142440 = 233558389164743
BaseRepresentation
bin1100001101111011000001…
…1001001111101011101000
31202120012202022120010100000
43003132300121033223220
53230042420432024230
644323103305543000
72554345150134624
oct303366031175350
952505668503300
1013433322142440
11430a049163992
12160b5744a4a60
137659aba244b5
14346267934184
15184671682b60
hexc37b064fae8

13433322142440 has 192 divisors, whose sum is σ = 45280942761600. Its totient is φ = 3581770482432.

The previous prime is 13433322142411. The next prime is 13433322142453. The reversal of 13433322142440 is 4424122333431.

13433322142440 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 3 + 3 + 221 + 424 + 4 + 0 = 666.

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 = 13433322142395 and 13433322142404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81458709 + ... + 81623451.

It is an arithmetic number, because the mean of its divisors is an integer number (235838243550).

Almost surely, 213433322142440 is an apocalyptic number.

13433322142440 is a gapful number since it is divisible by the number (10) 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 13433322142440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22640471380800).

13433322142440 is an abundant number, since it is smaller than the sum of its proper divisors (31847620619160).

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

13433322142440 is a wasteful number, since it uses less digits than its factorization.

13433322142440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173158 (or 173142 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 13433322142440 its reverse (4424122333431), we get a palindrome (17857444475871).

The spelling of 13433322142440 in words is "thirteen trillion, four hundred thirty-three billion, three hundred twenty-two million, one hundred forty-two thousand, four hundred forty".