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114243252223350 = 23525691721777761
BaseRepresentation
bin11001111110011101010100…
…011101110111110101110110
3112222111112210200012202202210
4121332131110131313311312
5104433230140032121400
61042550343041114250
733030542201355345
oct3176352435676566
9488445720182683
10114243252223350
1133446322623598
1210991136028986
134b99128193513
14202d58d82db5c
15d31ae0de0950
hex67e754777d76

114243252223350 has 96 divisors (see below), whose sum is σ = 283986479014560. Its totient is φ = 30393616384000.

The previous prime is 114243252223277. The next prime is 114243252223357. The reversal of 114243252223350 is 53322252342411.

It is a super-3 number, since 3×1142432522233503 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114243252223299 and 114243252223308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114243252223357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146498470 + ... + 147276230.

It is an arithmetic number, because the mean of its divisors is an integer number (2958192489735).

Almost surely, 2114243252223350 is an apocalyptic number.

114243252223350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114243252223350 is an abundant number, since it is smaller than the sum of its proper divisors (169743226791210).

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

114243252223350 is a wasteful number, since it uses less digits than its factorization.

114243252223350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780066 (or 780061 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

The spelling of 114243252223350 in words is "one hundred fourteen trillion, two hundred forty-three billion, two hundred fifty-two million, two hundred twenty-three thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 569 1138 1707 1721 2845 3414 3442 5163 5690 8535 8605 10326 14225 17070 17210 25815 28450 42675 43025 51630 85350 86050 129075 258150 777761 979249 1555522 1958498 2333283 2937747 3888805 4666566 4896245 5875494 7777610 9792490 11666415 14688735 19444025 23332830 24481225 29377470 38888050 48962450 58332075 73443675 116664150 146887350 442546009 885092018 1327638027 1338526681 2212730045 2655276054 2677053362 4015580043 4425460090 6638190135 6692633405 8031160086 11063650225 13276380270 13385266810 20077900215 22127300450 33190950675 33463167025 40155800430 66381901350 66926334050 100389501075 200779002150 761621681489 1523243362978 2284865044467 3808108407445 4569730088934 7616216814890 11424325222335 19040542037225 22848650444670 38081084074450 57121626111675 114243252223350