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6514342340 = 22511215117827
BaseRepresentation
bin1100001000100100…
…01111100111000100
3121210222212212201112
412010102033213010
5101320132423330
62554224544152
7320300665502
oct60422174704
917728785645
106514342340
1128431a3900
121319782058
137ca80304c
1445b259672
15281d85795
hex18448f9c4

6514342340 has 72 divisors (see below), whose sum is σ = 15137255616. Its totient is φ = 2353032000.

The previous prime is 6514342333. The next prime is 6514342427. The reversal of 6514342340 is 432434156.

It is a super-2 number, since 2×65143423402 = 84873312245433351200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6514342297 and 6514342306.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356507 + ... + 374333.

Almost surely, 26514342340 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 6514342340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7568627808).

6514342340 is an abundant number, since it is smaller than the sum of its proper divisors (8622913276).

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

6514342340 is a wasteful number, since it uses less digits than its factorization.

6514342340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18009 (or 17996 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 6514342340 is about 80711.4758878810. The cubic root of 6514342340 is about 1867.6272096530.

Adding to 6514342340 its reverse (432434156), we get a palindrome (6946776496).

The spelling of 6514342340 in words is "six billion, five hundred fourteen million, three hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 151 220 242 302 484 604 605 755 1210 1510 1661 2420 3020 3322 6644 8305 16610 17827 18271 33220 35654 36542 71308 73084 89135 91355 178270 182710 196097 356540 365420 392194 784388 980485 1960970 2157067 2691877 3921940 4314134 5383754 8628268 10767508 10785335 13459385 21570670 26918770 29610647 43141340 53837540 59221294 118442588 148053235 296106470 325717117 592212940 651434234 1302868468 1628585585 3257171170 6514342340