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114423707339344 = 24133329165249017
BaseRepresentation
bin11010000001000101011000…
…011011100000101001010000
3120000010210120220100110210101
4122001011120123200221100
5104444204223034324334
61043205305300342144
733046561064503264
oct3201053033405120
9500123526313711
10114423707339344
1133505904856097
1210a000b80a4954
134bb01561a6270
1420381cbc5a0a4
15d36653548214
hex6811586e0a50

114423707339344 has 40 divisors (see below), whose sum is σ = 238821185793960. Its totient is φ = 52795077623808.

The previous prime is 114423707339317. The next prime is 114423707339371. The reversal of 114423707339344 is 443933707324411.

It is an interprime number because it is at equal distance from previous prime (114423707339317) and next prime (114423707339371).

It can be written as a sum of positive squares in 4 ways, for example, as 9914387258944 + 104509320080400 = 3148712^2 + 10222980^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 81932077 + ... + 83316940.

It is an arithmetic number, because the mean of its divisors is an integer number (5970529644849).

Almost surely, 2114423707339344 is an apocalyptic number.

It is an amenable number.

114423707339344 is an abundant number, since it is smaller than the sum of its proper divisors (124397478454616).

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

114423707339344 is a wasteful number, since it uses less digits than its factorization.

114423707339344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165252367 (or 165252361 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 55.

The spelling of 114423707339344 in words is "one hundred fourteen trillion, four hundred twenty-three billion, seven hundred seven million, three hundred thirty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 3329 6658 13316 26632 43277 53264 86554 173108 346216 692432 165249017 330498034 660996068 1321992136 2148237221 2643984272 4296474442 8592948884 17185897768 34371795536 550113977593 1100227955186 2200455910372 4400911820744 7151481708709 8801823641488 14302963417418 28605926834836 57211853669672 114423707339344