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1002341234440 = 2357213167235559
BaseRepresentation
bin11101001011000000011…
…00010111011100001000
310112211012212212110100201
432211200030113130020
5112410243324000230
62044245203141544
7132262643626300
oct16454014273410
93484185773321
101002341234440
113570aa54aa97
121423160748b4
137369c34a370
143672936a600
151b1170805ca
hexe960317708

1002341234440 has 192 divisors, whose sum is σ = 2842210425600. Its totient is φ = 315323592192.

The previous prime is 1002341234383. The next prime is 1002341234459. The reversal of 1002341234440 is 444321432001.

It is a super-2 number, since 2×10023412344402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1002341234399 and 1002341234408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4137381 + ... + 4372939.

It is an arithmetic number, because the mean of its divisors is an integer number (14803179300).

Almost surely, 21002341234440 is an apocalyptic number.

1002341234440 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 1002341234440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421105212800).

1002341234440 is an abundant number, since it is smaller than the sum of its proper divisors (1839869191160).

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

1002341234440 is a wasteful number, since it uses less digits than its factorization.

1002341234440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235764 (or 235753 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 1002341234440 its reverse (444321432001), we get a palindrome (1446662666441).

The spelling of 1002341234440 in words is "one trillion, two billion, three hundred forty-one million, two hundred thirty-four thousand, four hundred forty".