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114112336650 = 235213413314159
BaseRepresentation
bin110101001000110100…
…0000001001100001010
3101220112200111022201220
41222101220001030022
53332200224233100
6124231131222510
711146544600064
oct1522150011412
9356480438656
10114112336650
1144438491544
121a147ba7a36
13a9b74913c0
14574741a734
152e7d15caa0
hex1a91a0130a

114112336650 has 96 divisors (see below), whose sum is σ = 304862987520. Its totient is φ = 28080410880.

The previous prime is 114112336633. The next prime is 114112336651. The reversal of 114112336650 is 56633211411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (114112336651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8052271 + ... + 8066429.

It is an arithmetic number, because the mean of its divisors is an integer number (3175656120).

Almost surely, 2114112336650 is an apocalyptic number.

114112336650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114112336650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152431493760).

114112336650 is an abundant number, since it is smaller than the sum of its proper divisors (190750650870).

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

114112336650 is a wasteful number, since it uses less digits than its factorization.

114112336650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18320 (or 18315 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 114112336650 in words is "one hundred fourteen billion, one hundred twelve million, three hundred thirty-six thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 975 1950 4133 8266 12399 14159 20665 24798 28318 41330 42477 53729 61995 70795 84954 103325 107458 123990 141590 161187 184067 206650 212385 268645 309975 322374 353975 368134 424770 537290 552201 619950 707950 805935 920335 1061925 1104402 1343225 1611870 1840670 2123850 2686450 2761005 4029675 4601675 5522010 8059350 9203350 13805025 27610050 58519147 117038294 175557441 292595735 351114882 585191470 760748911 877787205 1462978675 1521497822 1755574410 2282246733 2925957350 3803744555 4388936025 4564493466 7607489110 8777872050 11411233665 19018722775 22822467330 38037445550 57056168325 114112336650