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2314826305116 = 2231371263794657
BaseRepresentation
bin100001101011110110011…
…001100100111001011100
322012021222020002012210220
4201223312121210321130
5300411231013230431
64531225545201340
7326145360641643
oct41536631447134
98167866065726
102314826305116
11812792113606
12314766790250
1313a396c34c90
1480076b2035a
15403320e0b96
hex21af6664e5c

2314826305116 has 96 divisors (see below), whose sum is σ = 5921104831488. Its totient is φ = 699551569920.

The previous prime is 2314826305081. The next prime is 2314826305139. The reversal of 2314826305116 is 6115036284132.

It is a super-3 number, since 3×23148263051163 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2515660 + ... + 3310316.

It is an arithmetic number, because the mean of its divisors is an integer number (61678175328).

Almost surely, 22314826305116 is an apocalyptic number.

2314826305116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2314826305116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2960552415744).

2314826305116 is an abundant number, since it is smaller than the sum of its proper divisors (3606278526372).

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

2314826305116 is a wasteful number, since it uses less digits than its factorization.

2314826305116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795011 (or 795009 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 2314826305116 in words is "two trillion, three hundred fourteen billion, eight hundred twenty-six million, three hundred five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 71 78 142 156 213 263 284 426 526 789 852 923 1052 1578 1846 2769 3156 3419 3692 5538 6838 10257 11076 13676 18673 20514 37346 41028 56019 74692 112038 224076 242749 485498 728247 794657 970996 1456494 1589314 2383971 2912988 3178628 4767942 9535884 10330541 20661082 30991623 41322164 56420647 61983246 112841294 123966492 169261941 208994791 225682588 338523882 417989582 626984373 677047764 733468411 835979164 1253968746 1466936822 2200405233 2507937492 2716932283 2933873644 4400810466 5433864566 8150796849 8801620932 10867729132 14838630161 16301593698 29677260322 32603187396 44515890483 59354520644 89031780966 178063561932 192902192093 385804384186 578706576279 771608768372 1157413152558 2314826305116