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34221612243 = 371333720047
BaseRepresentation
bin11111110111110001…
…000101110011010011
310021022222000000200010
4133313301011303103
51030041213042433
623415435530003
72321020622160
oct376761056323
9107288000603
1034221612243
1113571231875
1267708b9903
1332c4b9a000
141928da9067
15d54576e63
hex7f7c45cd3

34221612243 has 64 divisors (see below), whose sum is σ = 58020515840. Its totient is φ = 17562220416.

The previous prime is 34221612199. The next prime is 34221612247.

34221612243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34221612243 - 216 = 34221546707 is a prime.

It is a super-2 number, since 2×342216122432 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34221612243.

It is not an unprimeable number, because it can be changed into a prime (34221612247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1697046 + ... + 1717092.

It is an arithmetic number, because the mean of its divisors is an integer number (906570560).

Almost surely, 234221612243 is an apocalyptic number.

34221612243 is a deficient number, since it is larger than the sum of its proper divisors (23798903597).

34221612243 is a wasteful number, since it uses less digits than its factorization.

34221612243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20133 (or 20107 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The spelling of 34221612243 in words is "thirty-four billion, two hundred twenty-one million, six hundred twelve thousand, two hundred forty-three".

Divisors: 1 3 7 13 21 37 39 91 111 169 259 273 481 507 777 1183 1443 2197 3367 3549 6253 6591 10101 15379 18759 20047 43771 46137 60141 81289 131313 140329 243867 260611 420987 569023 741739 781833 1707069 1824277 2225217 3387943 5192173 5472831 9642607 10163829 15576519 23715601 28927821 44043259 67498249 71146803 125353891 132129777 202494747 308302813 376061673 877477237 924908439 1629600583 2632431711 4888801749 11407204081 34221612243