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114681123645 = 351129139172423
BaseRepresentation
bin110101011001110000…
…1110001001100111101
3101222000022202200210220
41222303201301030331
53334331331424040
6124403410251553
711166622316154
oct1526341611475
9358008680726
10114681123645
11446aa560640
121a286586bb9
13aa7827bb5a
14579cb9a59b
152eb30622d0
hex1ab387133d

114681123645 has 64 divisors (see below), whose sum is σ = 208564070400. Its totient is φ = 53299088640.

The previous prime is 114681123637. The next prime is 114681123649. The reversal of 114681123645 is 546321186411.

It is not a de Polignac number, because 114681123645 - 23 = 114681123637 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 114681123597 and 114681123606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114681123649) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 578904 + ... + 751326.

It is an arithmetic number, because the mean of its divisors is an integer number (3258813600).

Almost surely, 2114681123645 is an apocalyptic number.

114681123645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114681123645 is a deficient number, since it is larger than the sum of its proper divisors (93882946755).

114681123645 is a wasteful number, since it uses less digits than its factorization.

114681123645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172610.

The product of its digits is 138240, while the sum is 42.

The spelling of 114681123645 in words is "one hundred fourteen billion, six hundred eighty-one million, one hundred twenty-three thousand, six hundred forty-five".

Divisors: 1 3 5 11 15 29 33 55 87 139 145 165 319 417 435 695 957 1529 1595 2085 4031 4587 4785 7645 12093 20155 22935 44341 60465 133023 172423 221705 517269 665115 862115 1896653 2586345 5000267 5689959 9483265 15000801 23966797 25001335 28449795 55002937 71900391 75004005 119833985 165008811 263634767 275014685 359501955 695037113 790904301 825044055 1318173835 2085111339 3475185565 3954521505 7645408243 10425556695 22936224729 38227041215 114681123645