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35013413430 = 2335308941981
BaseRepresentation
bin100000100110111101…
…100100101000110110
310100101010220200201000
4200212331210220312
51033201413212210
624030202544130
72346444050352
oct404675445066
9110333820630
1035013413430
1113938182816
126951b08046
1333bcc3c118
1419a21dc462
15d9dd2eac0
hex826f64a36

35013413430 has 64 divisors (see below), whose sum is σ = 93401553600. Its totient is φ = 9333665280.

The previous prime is 35013413417. The next prime is 35013413437. The reversal of 35013413430 is 3431431053.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 35013413394 and 35013413403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35013413437) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 813040 + ... + 855020.

It is an arithmetic number, because the mean of its divisors is an integer number (1459399275).

Almost surely, 235013413430 is an apocalyptic number.

35013413430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

35013413430 is an abundant number, since it is smaller than the sum of its proper divisors (58388140170).

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

35013413430 is a wasteful number, since it uses less digits than its factorization.

35013413430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45086 (or 45080 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 35013413430 its reverse (3431431053), we get a palindrome (38444844483).

The spelling of 35013413430 in words is "thirty-five billion, thirteen million, four hundred thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 3089 6178 9267 15445 18534 27801 30890 41981 46335 55602 83403 83962 92670 125943 139005 166806 209905 251886 278010 377829 417015 419810 629715 755658 834030 1133487 1259430 1889145 2266974 3778290 5667435 11334870 129679309 259358618 389037927 648396545 778075854 1167113781 1296793090 1945189635 2334227562 3501341343 3890379270 5835568905 7002682686 11671137810 17506706715 35013413430