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334468911359 = 1123791981293
BaseRepresentation
bin1001101110111111110…
…01101001000011111111
31011222022201021011000202
410313133321221003333
520434443020130414
6413353005314115
733110310560312
oct4673771510377
91158281234022
10334468911359
11119935a87600
12549a4b6593b
1325704003b4b
141228ccc2979
158a787d49de
hex4ddfe690ff

334468911359 has 24 divisors (see below), whose sum is σ = 377991085920. Its totient is φ = 295519181760.

The previous prime is 334468911313. The next prime is 334468911377. The reversal of 334468911359 is 953119864433.

It is a de Polignac number, because none of the positive numbers 2k-334468911359 is a prime.

It is a super-3 number, since 3×3344689113593 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334468911389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4073717 + ... + 4155009.

It is an arithmetic number, because the mean of its divisors is an integer number (15749628580).

Almost surely, 2334468911359 is an apocalyptic number.

334468911359 is a deficient number, since it is larger than the sum of its proper divisors (43522174561).

334468911359 is a wasteful number, since it uses less digits than its factorization.

334468911359 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82271 (or 82260 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 56.

The spelling of 334468911359 in words is "three hundred thirty-four billion, four hundred sixty-eight million, nine hundred eleven thousand, three hundred fifty-nine".

Divisors: 1 11 37 121 407 919 4477 10109 34003 81293 111199 374033 894223 3007841 4114363 9836453 33086251 74708267 363948761 821790937 2764205879 9039700307 30406264669 334468911359