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114042210320 = 24512785313159
BaseRepresentation
bin110101000110101110…
…0100000100000010000
3101220100210112112111102
41222031130200200100
53332024301212240
6124220144203532
711145033536123
oct1521534404020
9356323475442
10114042210320
11444019445a5
121a1286095a8
13a9a5aaa22c
14573bda43ba
152e76e09815
hex1a8d720810

114042210320 has 80 divisors (see below), whose sum is σ = 267569541120. Its totient is φ = 45201203712.

The previous prime is 114042210311. The next prime is 114042210353. The reversal of 114042210320 is 23012240411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1140422103202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 114042210292 and 114042210301.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8659901 + ... + 8673059.

It is an arithmetic number, because the mean of its divisors is an integer number (3344619264).

Almost surely, 2114042210320 is an apocalyptic number.

114042210320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114042210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133784770560).

114042210320 is an abundant number, since it is smaller than the sum of its proper divisors (153527330800).

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

114042210320 is a wasteful number, since it uses less digits than its factorization.

114042210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14152 (or 14146 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 114042210320 its reverse (23012240411), we get a palindrome (137054450731).

The spelling of 114042210320 in words is "one hundred fourteen billion, forty-two million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 853 1016 1270 1706 2032 2540 3412 4265 5080 6824 8530 10160 13159 13648 17060 26318 34120 52636 65795 68240 105272 108331 131590 210544 216662 263180 433324 526360 541655 866648 1052720 1083310 1671193 1733296 2166620 3342386 4333240 6684772 8355965 8666480 11224627 13369544 16711930 22449254 26739088 33423860 44898508 56123135 66847720 89797016 112246270 133695440 179594032 224492540 448985080 897970160 1425527629 2851055258 5702110516 7127638145 11404221032 14255276290 22808442064 28510552580 57021105160 114042210320