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114011430410550 = 23525386316617683
BaseRepresentation
bin11001111011000101011010…
…110011110101100100110110
3112221200101102121120111120010
4121323011122303311210312
5104420430402141114200
61042252043355121050
733005024346436041
oct3173053263654466
9487611377514503
10114011430410550
1133366a81216452
1210954219443186
134b8030222291a
14202227b38dc58
15d2aa73e2b150
hex67b15acf5936

114011430410550 has 96 divisors (see below), whose sum is σ = 288417055269888. Its totient is φ = 29794839118720.

The previous prime is 114011430410503. The next prime is 114011430410567. The reversal of 114011430410550 is 55014034110411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1447992 + ... + 15169691.

It is an arithmetic number, because the mean of its divisors is an integer number (3004344325728).

Almost surely, 2114011430410550 is an apocalyptic number.

114011430410550 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 114011430410550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144208527634944).

114011430410550 is an abundant number, since it is smaller than the sum of its proper divisors (174405624859338).

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

114011430410550 is a wasteful number, since it uses less digits than its factorization.

114011430410550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16618614 (or 16618609 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 114011430410550 its reverse (55014034110411), we get a palindrome (169025464520961).

The spelling of 114011430410550 in words is "one hundred fourteen trillion, eleven billion, four hundred thirty million, four hundred ten thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 53 75 106 150 159 265 318 530 795 863 1325 1590 1726 2589 2650 3975 4315 5178 7950 8630 12945 21575 25890 43150 45739 64725 91478 129450 137217 228695 274434 457390 686085 1143475 1372170 2286950 3430425 6860850 16617683 33235366 49853049 83088415 99706098 166176830 249265245 415442075 498530490 830884150 880737199 1246326225 1761474398 2492652450 2642211597 4403685995 5284423194 8807371990 13211057985 14341060429 22018429975 26422115970 28682120858 43023181287 44036859950 66055289925 71705302145 86046362574 132110579850 143410604290 215115906435 358526510725 430231812870 717053021450 760076202737 1075579532175 1520152405474 2151159064350 2280228608211 3800381013685 4560457216422 7600762027370 11401143041055 19001905068425 22802286082110 38003810136850 57005715205275 114011430410550