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6141311430 = 2353717331981
BaseRepresentation
bin1011011100000110…
…01111100111000110
3120211222221221111220
411232003033213012
5100034133431210
62453221341210
7305121200022
oct55603174706
916758857456
106141311430
1126716791a1
121234867806
1376b444cb7
144238b5382
1525e24cc70
hex16e0cf9c6

6141311430 has 64 divisors (see below), whose sum is σ = 15225478848. Its totient is φ = 1584161280.

The previous prime is 6141311377. The next prime is 6141311431. The reversal of 6141311430 is 341131416.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 6141311430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6141311431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176040 + ... + 208020.

It is an arithmetic number, because the mean of its divisors is an integer number (237898107).

Almost surely, 26141311430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6141311430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7612739424).

6141311430 is an abundant number, since it is smaller than the sum of its proper divisors (9084167418).

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

6141311430 is a wasteful number, since it uses less digits than its factorization.

6141311430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32201.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 6141311430 is about 78366.5198283042. The cubic root of 6141311430 is about 1831.2755924778.

Adding to 6141311430 its reverse (341131416), we get a palindrome (6482442846).

The spelling of 6141311430 in words is "six billion, one hundred forty-one million, three hundred eleven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 173 185 222 346 370 519 555 865 1038 1110 1730 2595 5190 6401 12802 19203 31981 32005 38406 63962 64010 95943 96015 159905 191886 192030 319810 479715 959430 1183297 2366594 3549891 5532713 5916485 7099782 11065426 11832970 16598139 17749455 27663565 33196278 35498910 55327130 82990695 165981390 204710381 409420762 614131143 1023551905 1228262286 2047103810 3070655715 6141311430