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114201262112 = 257193213687
BaseRepresentation
bin110101001011011101…
…1001111100000100000
3101220202212211012112112
41222112323033200200
53332341010341422
6124244025214452
711152004466020
oct1522673174040
9356685735475
10114201262112
11444836a9563
121a171931428
13a9cca28212
145755167a80
152e85d75ee2
hex1a96ecf820

114201262112 has 72 divisors (see below), whose sum is σ = 258309971136. Its totient is φ = 48686247936.

The previous prime is 114201262033. The next prime is 114201262159. The reversal of 114201262112 is 211262102411.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8336933 + ... + 8350619.

It is an arithmetic number, because the mean of its divisors is an integer number (3587638488).

Almost surely, 2114201262112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114201262112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129154985568).

114201262112 is an abundant number, since it is smaller than the sum of its proper divisors (144108709024).

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

114201262112 is an equidigital number, since it uses as much as digits as its factorization.

114201262112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14090 (or 13889 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 114201262112 its reverse (211262102411), we get a palindrome (325463364523).

The spelling of 114201262112 in words is "one hundred fourteen billion, two hundred one million, two hundred sixty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 193 224 386 772 1351 1544 2702 3088 5404 6176 10808 13687 21616 27374 37249 43232 54748 74498 95809 109496 148996 191618 218992 260743 297992 383236 437984 521486 595984 766472 1042972 1191968 1532944 2085944 2641591 3065888 4171888 5283182 8343776 10566364 18491137 21132728 36982274 42265456 73964548 84530912 147929096 295858192 509827063 591716384 1019654126 2039308252 3568789441 4078616504 7137578882 8157233008 14275157764 16314466016 28550315528 57100631056 114201262112