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35035045344 = 2534137314243
BaseRepresentation
bin100000101000010000…
…000101110111100000
310100102122121201010000
4200220100011313200
51033222432422334
624032254340000
72350125654225
oct405020056740
9110378551100
1035035045344
1113949408132
1269591ba600
1333c4574280
1419a502d94c
15da0ba4299
hex828405de0

35035045344 has 240 divisors, whose sum is σ = 112490964432. Its totient is φ = 10631596032.

The previous prime is 35035045333. The next prime is 35035045351. The reversal of 35035045344 is 44354053053.

It is a super-2 number, since 2×350350453442 (a number of 22 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 = 35035045299 and 35035045308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2452687 + ... + 2466929.

Almost surely, 235035045344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35035045344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56245482216).

35035045344 is an abundant number, since it is smaller than the sum of its proper divisors (77455919088).

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

35035045344 is a wasteful number, since it uses less digits than its factorization.

35035045344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14351 (or 14334 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

Adding to 35035045344 its reverse (44354053053), we get a palindrome (79389098397).

The spelling of 35035045344 in words is "thirty-five billion, thirty-five million, forty-five thousand, three hundred forty-four".