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334105050399 = 3374383843361
BaseRepresentation
bin1001101110010100011…
…01100111110100011111
31011221101100121002121220
410313022031213310133
520433221343103044
6413252530424423
733065302033221
oct4671215476437
91157340532556
10334105050399
1111976965546a
1254903132113
13256768068c3
1412256848411
158a568ae019
hex4dca367d1f

334105050399 has 32 divisors (see below), whose sum is σ = 473794024704. Its totient is φ = 209126292480.

The previous prime is 334105050379. The next prime is 334105050413. The reversal of 334105050399 is 993050501433.

It is not a de Polignac number, because 334105050399 - 232 = 329810083103 is a prime.

It is a super-2 number, since 2×3341050503992 (a number of 24 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 334105050399.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334105050329) 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 31 ways as a sum of consecutive naturals, for example, 25522 + ... + 817839.

It is an arithmetic number, because the mean of its divisors is an integer number (14806063272).

Almost surely, 2334105050399 is an apocalyptic number.

334105050399 is a deficient number, since it is larger than the sum of its proper divisors (139688974305).

334105050399 is a wasteful number, since it uses less digits than its factorization.

334105050399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843527.

The product of its (nonzero) digits is 218700, while the sum is 42.

The spelling of 334105050399 in words is "three hundred thirty-four billion, one hundred five million, fifty thousand, three hundred ninety-nine".

Divisors: 1 3 37 43 83 111 129 249 1591 3071 3569 4773 9213 10707 132053 396159 843361 2530083 31204357 36264523 69998963 93613071 108793569 209996889 1341787351 2589961631 3009955409 4025362053 7769884893 9029866227 111368350133 334105050399