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2314340434104 = 233478324719521
BaseRepresentation
bin100001101011011001011…
…100001000000010111000
322012020201100211102002020
4201223121130020002320
5300404232122342404
64531105431234440
7326130341052246
oct41533134100270
98166640742066
102314340434104
11812562927516
1231464bb18a20
1313a31a388c3a
148002c3a5796
1540304618ed9
hex21ad97080b8

2314340434104 has 64 divisors (see below), whose sum is σ = 5980146762240. Its totient is φ = 745936235520.

The previous prime is 2314340434103. The next prime is 2314340434139. The reversal of 2314340434104 is 4014340434132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314340434103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12266137 + ... + 12453384.

It is an arithmetic number, because the mean of its divisors is an integer number (93439793160).

Almost surely, 22314340434104 is an apocalyptic number.

2314340434104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2314340434104 is an abundant number, since it is smaller than the sum of its proper divisors (3665806328136).

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

2314340434104 is a wasteful number, since it uses less digits than its factorization.

2314340434104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24719660 (or 24719656 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 2314340434104 its reverse (4014340434132), we get a palindrome (6328680868236).

The spelling of 2314340434104 in words is "two trillion, three hundred fourteen billion, three hundred forty million, four hundred thirty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 47 83 94 141 166 188 249 282 332 376 498 564 664 996 1128 1992 3901 7802 11703 15604 23406 31208 46812 93624 24719521 49439042 74158563 98878084 148317126 197756168 296634252 593268504 1161817487 2051720243 2323634974 3485452461 4103440486 4647269948 6155160729 6970904922 8206880972 9294539896 12310321458 13941809844 16413761944 24620642916 27883619688 49241285832 96430851421 192861702842 289292554263 385723405684 578585108526 771446811368 1157170217052 2314340434104