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114205623156 = 22323172378421
BaseRepresentation
bin110101001011100101…
…1111000001101110100
3101220210012000202202200
41222113023320031310
53332343114420111
6124244302504500
711152056531312
oct1522713701564
9356705022680
10114205623156
1144486108029
121a173295130
13aa008c4211
1457559810b2
152e86438256
hex1a972f8374

114205623156 has 18 divisors (see below), whose sum is σ = 288686436402. Its totient is φ = 38068541040.

The previous prime is 114205623101. The next prime is 114205623221. The reversal of 114205623156 is 651326502411.

114205623156 is a `hidden beast` number, since 1 + 1 + 4 + 20 + 5 + 623 + 1 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61986060900 + 52219562256 = 248970^2 + 228516^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3172378421 = 114205623156 / (1 + 1 + 4 + 2 + 0 + 5 + 6 + 2 + 3 + 1 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 114205623156.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1586189175 + ... + 1586189246.

Almost surely, 2114205623156 is an apocalyptic number.

It is an amenable number.

114205623156 is an abundant number, since it is smaller than the sum of its proper divisors (174480813246).

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

114205623156 is a wasteful number, since it uses less digits than its factorization.

114205623156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3172378431 (or 3172378426 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 114205623156 in words is "one hundred fourteen billion, two hundred five million, six hundred twenty-three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 3172378421 6344756842 9517135263 12689513684 19034270526 28551405789 38068541052 57102811578 114205623156