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4335540455334 = 231136121434153
BaseRepresentation
bin111111000101110010010…
…110010100011110100110
3120100110210021020220221210
4333011302112110132212
51032013141324032314
613115415250252250
7625142506551354
oct77056226243646
916313707226853
104335540455334
111421768618000
125a030b887086
13255abbac8c6a
1410dbac6747d4
1577b9d8a4559
hex3f1725947a6

4335540455334 has 128 divisors (see below), whose sum is σ = 9700749398016. Its totient is φ = 1291348396800.

The previous prime is 4335540455333. The next prime is 4335540455357.

4335540455334 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×43355404553342 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4335540455333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1043951802 + ... + 1043955954.

It is an arithmetic number, because the mean of its divisors is an integer number (75787104672).

Almost surely, 24335540455334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4335540455334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4850374699008).

4335540455334 is an abundant number, since it is smaller than the sum of its proper divisors (5365208942682).

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

4335540455334 is a wasteful number, since it uses less digits than its factorization.

4335540455334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6395 (or 6373 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 48.

The spelling of 4335540455334 in words is "four trillion, three hundred thirty-five billion, five hundred forty million, four hundred fifty-five thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 61 66 121 122 183 242 363 366 671 726 1331 1342 2013 2143 2662 3993 4026 4153 4286 6429 7381 7986 8306 12459 12858 14762 22143 23573 24918 44286 45683 47146 70719 81191 91366 130723 137049 141438 162382 243573 253333 259303 261446 274098 392169 487146 502513 506666 518606 759999 777909 784338 1005026 1437953 1507539 1519998 1555818 2786663 2852333 2875906 3015078 4313859 5527643 5573326 5704666 8359989 8556999 8627718 8899879 11055286 15817483 16582929 16719978 17113998 17799758 26699637 30653293 31634966 33165858 47452449 53399274 61306586 91959879 94904898 97898669 173992313 183919758 195797338 293696007 337186223 347984626 521976939 542892619 587392014 674372446 1011558669 1043953878 1076885359 1085785238 1628677857 2023117338 2153770718 3230656077 3257355714 5971818809 6461312154 11845738949 11943637618 17915456427 23691477898 35537216847 35830912854 65690006899 71074433694 131380013798 197070020697 394140041394 722590075889 1445180151778 2167770227667 4335540455334